Symmetry of ground states of quasilinear elliptic equations
. We consider the problem of radial symmetry for non-negative continuously differentiable weak solutions of elliptic equations of the form (ProQuest: Formulae and/or non-USASCII text omitted; see image) under the ground state condition (ProQuest: Formulae and/or non-USASCII text omitted; see image)...
Saved in:
| Published in | Archive for rational mechanics and analysis Vol. 148; no. 4; pp. 265 - 290 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Heidelberg
Springer
01.09.1999
Berlin Springer Nature B.V New York, NY |
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Abstract | . We consider the problem of radial symmetry for non-negative continuously differentiable weak solutions of elliptic equations of the form (ProQuest: Formulae and/or non-USASCII text omitted; see image) under the ground state condition (ProQuest: Formulae and/or non-USASCII text omitted; see image) Using the well-known moving plane method of Alexandrov and Serrin, we show, under suitable conditions on A and f, that all ground states of (1) are radially symmetric about some origin O in (ProQuest: Formulae and/or non-USASCII text omitted; see image) . In particular, we obtain radial symmetry for compactly supported ground states and give sufficient conditions for the positivity of ground states in terms of the given operator A and the nonlinearity f.[PUBLICATION ABSTRACT] |
|---|---|
| AbstractList | . We consider the problem of radial symmetry for non-negative continuously differentiable weak solutions of elliptic equations of the form (ProQuest: Formulae and/or non-USASCII text omitted; see image) under the ground state condition (ProQuest: Formulae and/or non-USASCII text omitted; see image) Using the well-known moving plane method of Alexandrov and Serrin, we show, under suitable conditions on A and f, that all ground states of (1) are radially symmetric about some origin O in (ProQuest: Formulae and/or non-USASCII text omitted; see image) . In particular, we obtain radial symmetry for compactly supported ground states and give sufficient conditions for the positivity of ground states in terms of the given operator A and the nonlinearity f.[PUBLICATION ABSTRACT] |
| Author | SERRIN, J HENGHUI ZOU |
| Author_xml | – sequence: 1 givenname: J surname: SERRIN fullname: SERRIN, J organization: Department of Mathematics, University of Alabama at Birmingham, United States – sequence: 2 surname: HENGHUI ZOU fullname: HENGHUI ZOU organization: Department of Mathematics, University of Alabama at Birmingham, United States |
| BackLink | http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=1950141$$DView record in Pascal Francis |
| BookMark | eNpVkM1LAzEQxYNUsK0evS_idXXyuRs8SbEqFDyo5yWbTiRlu2mT7KH_vVtaEGFgmMdv3oM3I5M-9EjILYUHClA9JgAGEsahil2QKRWclaAqPiFTAOCllqy6IrOUNseTcTUlT5-H7RZzPBTBFT8xDP26SNlkTEdhP5jkO9-jiQV2nd9lbwsc1exDn67JpTNdwpvznpPv5cvX4q1cfby-L55XpeVa5dIqS0Erx6VkbK0oVgCm5Vyqmre8logKXVVplLZ1DJALQaUVrdPYUqoEn5O7k-8uhv2AKTebMMR-jGw05aKulZAjVJ4gG0NKEV2zi35r4qGh0Bzraf7VM_L3Z1OTrOlcNL316e9Jj5ig_Bc0X2Tg |
| CODEN | AVRMAW |
| CitedBy_id | crossref_primary_10_1016_j_na_2014_07_016 crossref_primary_10_1007_s00526_019_1670_5 crossref_primary_10_1090_proc_15838 crossref_primary_10_1016_S0022_247X_03_00153_7 crossref_primary_10_1016_j_jde_2022_07_021 crossref_primary_10_1016_j_jmaa_2021_125796 crossref_primary_10_1016_j_matpur_2023_07_008 crossref_primary_10_1007_s12220_024_01605_w crossref_primary_10_1016_j_jde_2004_05_012 crossref_primary_10_1007_s00030_014_0299_5 crossref_primary_10_1016_s0294_1449_01_00091_9 crossref_primary_10_1007_s00526_009_0238_1 crossref_primary_10_1515_anona_2020_0030 crossref_primary_10_1016_s0294_1449_00_00052_4 crossref_primary_10_1016_j_jde_2010_02_012 crossref_primary_10_1016_j_na_2010_04_073 crossref_primary_10_1134_S096554251703006X crossref_primary_10_1080_03605300500299919 crossref_primary_10_1016_j_jde_2015_08_041 crossref_primary_10_1016_j_jde_2023_02_010 crossref_primary_10_1016_j_na_2007_07_003 crossref_primary_10_1016_j_na_2014_09_030 crossref_primary_10_1080_03605300600635020 crossref_primary_10_1007_s10958_006_0096_8 crossref_primary_10_1142_S021919970300118X crossref_primary_10_1007_BF02871848 crossref_primary_10_1016_j_jmaa_2006_03_012 crossref_primary_10_1007_s11856_019_1906_2 crossref_primary_10_1515_anona_2022_0311 crossref_primary_10_3934_math_2023680 crossref_primary_10_1007_s00220_015_2546_y crossref_primary_10_1186_1687_2770_2013_185 crossref_primary_10_1016_j_jmaa_2004_04_006 crossref_primary_10_3233_ASY_231878 crossref_primary_10_1016_j_na_2004_02_033 crossref_primary_10_1016_j_na_2003_07_012 crossref_primary_10_1016_j_jmaa_2015_03_030 crossref_primary_10_1619_fesi_48_331 crossref_primary_10_3934_dcds_2015_35_5869 crossref_primary_10_1016_j_jmaa_2020_124087 crossref_primary_10_1016_j_anihpc_2017_08_002 crossref_primary_10_1016_j_aim_2022_108607 crossref_primary_10_1007_s00526_005_0337_6 crossref_primary_10_1016_S0022_247X_03_00282_8 crossref_primary_10_1016_j_na_2011_12_015 crossref_primary_10_1515_acv_2023_0043 crossref_primary_10_1002_mana_200310150 crossref_primary_10_1515_acv_2010_006 crossref_primary_10_1007_s10958_021_05539_4 crossref_primary_10_1016_S0362_546X_02_00104_9 crossref_primary_10_1007_s00526_007_0137_2 crossref_primary_10_1016_j_aim_2014_08_004 crossref_primary_10_1080_03605302_2015_1015570 crossref_primary_10_1002_mana_200510568 crossref_primary_10_1006_jdeq_1999_3752 crossref_primary_10_1365_s13291_010_0005_4 crossref_primary_10_1006_jdeq_2001_4049 crossref_primary_10_1007_s00205_006_0004_x crossref_primary_10_1007_s10231_009_0101_1 crossref_primary_10_1016_j_aim_2015_12_028 crossref_primary_10_1016_j_jde_2007_01_007 crossref_primary_10_1515_ans_2005_0203 crossref_primary_10_1007_s00526_012_0578_0 crossref_primary_10_1016_j_jmaa_2011_11_010 crossref_primary_10_1016_j_na_2005_03_093 crossref_primary_10_1007_s11401_016_1073_2 crossref_primary_10_1016_j_aml_2019_03_019 |
| ContentType | Journal Article |
| Copyright | 1999 INIST-CNRS Springer-Verlag Berlin Heidelberg 1999 |
| Copyright_xml | – notice: 1999 INIST-CNRS – notice: Springer-Verlag Berlin Heidelberg 1999 |
| DBID | IQODW AAYXX CITATION 3V. 7SC 7TB 7XB 8AL 8FD 8FE 8FG 8FK ABJCF ABUWG AFKRA ARAPS AZQEC BENPR BGLVJ CCPQU DWQXO FR3 GNUQQ HCIFZ JQ2 K7- KR7 L6V L7M L~C L~D M0N M7S P5Z P62 PQEST PQQKQ PQUKI PRINS PTHSS Q9U |
| DOI | 10.1007/s002050050162 |
| DatabaseName | Pascal-Francis CrossRef ProQuest Central (Corporate) Computer and Information Systems Abstracts Mechanical & Transportation Engineering Abstracts ProQuest Central (purchase pre-March 2016) Computing Database (Alumni Edition) Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection ProQuest Central (Alumni) (purchase pre-March 2016) Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest Central Advanced Technologies & Aerospace Collection ProQuest Central Essentials AUTh Library subscriptions: ProQuest Central Technology Collection ProQuest One Community College ProQuest Central Engineering Research Database ProQuest Central Student SciTech Premium Collection (Proquest) (PQ_SDU_P3) ProQuest Computer Science Collection Computer Science Database Civil Engineering Abstracts ProQuest Engineering Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional Computing Database ProQuest Engineering Database ProQuest Advanced Technologies & Aerospace Database ProQuest Advanced Technologies & Aerospace Collection ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Academic ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection ProQuest Central Basic |
| DatabaseTitle | CrossRef Computer Science Database ProQuest Central Student Technology Collection Technology Research Database Computer and Information Systems Abstracts – Academic Mechanical & Transportation Engineering Abstracts ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection Computer and Information Systems Abstracts ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College ProQuest Central China ProQuest Central ProQuest Engineering Collection ProQuest Central Korea Advanced Technologies Database with Aerospace Engineering Collection Advanced Technologies & Aerospace Collection Civil Engineering Abstracts ProQuest Computing Engineering Database ProQuest Central Basic ProQuest Computing (Alumni Edition) ProQuest One Academic Eastern Edition ProQuest Technology Collection ProQuest SciTech Collection Computer and Information Systems Abstracts Professional Advanced Technologies & Aerospace Database ProQuest One Academic UKI Edition Materials Science & Engineering Collection Engineering Research Database ProQuest One Academic ProQuest Central (Alumni) |
| DatabaseTitleList | Computer Science Database |
| Database_xml | – sequence: 1 dbid: 8FG name: ProQuest Technology Collection url: https://search.proquest.com/technologycollection1 sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Applied Sciences Mathematics Physics |
| EISSN | 1432-0673 |
| EndPage | 290 |
| ExternalDocumentID | 2552536731 10_1007_s002050050162 1950141 |
| Genre | Feature |
| GroupedDBID | --Z -54 -5F -5G -BR -EM -Y2 -~C -~X .86 .VR 06D 0R~ 0VY 199 1N0 1SB 2.D 203 23M 28- 29~ 2J2 2JN 2JY 2KG 2KM 2LR 2P1 2VQ 2~H 30V 4.4 406 408 409 40D 40E 5GY 5QI 5VS 67Z 6J9 6NX 6TJ 78A 8FE 8FG 8TC 8UJ 95- 95. 95~ 96X AAAVM AABHQ AABYN AAFGU AAHNG AAIAL AAJKR AANZL AAPBV AARHV AARTL AATNV AATVU AAUYE AAWCG AAYFA AAYIU AAYQN AAYTO ABBBX ABBXA ABDBF ABDZT ABECU ABFGW ABFTV ABHLI ABHQN ABJCF ABJOX ABKAS ABKCH ABKTR ABLJU ABMNI ABMQK ABNWP ABPTK ABQBU ABSXP ABTAH ABTEG ABTHY ABTKH ABTMW ABULA ABUWG ABWNU ABXPI ACBMV ACBRV ACBXY ACBYP ACGFO ACGFS ACHSB ACHXU ACIGE ACIPQ ACIWK ACKNC ACMDZ ACMLO ACNCT ACOKC ACOMO ACREN ACTTH ACVWB ACWMK ADHHG ADHIR ADINQ ADJSZ ADKNI ADKPE ADMDM ADOXG ADRFC ADTPH ADURQ ADYFF ADYOE ADZKW AEBTG AEEQQ AEFIE AEFTE AEGAL AEGNC AEJHL AEJRE AEKMD AENEX AEOHA AEPYU AESKC AESTI AETLH AEVLU AEVTX AEXYK AEYGD AFDYV AFEXP AFGCZ AFKRA AFLOW AFNRJ AFQWF AFWTZ AFYQB AFZKB AGAYW AGDGC AGGBP AGGDS AGJBK AGMZJ AGQMX AGWIL AGWZB AGYKE AHAVH AHBYD AHKAY AHSBF AHYZX AI. AIAGR AIAKS AIIXL AILAN AIMYW AITGF AJBLW AJDOV AJRNO AJZVZ AKQUC ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMTXH AMXSW AMYLF AMYQR AOCGG ARAPS ARMRJ ASPBG AVWKF AXYYD AYJHY AZFZN AZQEC B-. B0M BA0 BBWZM BDATZ BENPR BGLVJ BGNMA BPHCQ CAG CCPQU COF CS3 CSCUP DDRTE DL5 DNIVK DPUIP DWQXO EAD EAP EBLON EBS EIOEI EJD EMK EPL ESBYG ESX FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNUQQ GNWQR GPTSA GQ6 GQ7 GQ8 GXS H13 HCIFZ HF~ HG5 HG6 HMJXF HQYDN HRMNR HZ~ I-F I09 IHE IJ- IKXTQ IQODW ITM IWAJR IXC IZIGR IZQ I~X I~Z J-C J0Z JBSCW JCJTX JZLTJ K6V K7- KDC KOV KOW L6V LAS LLZTM M0N M4Y M7S MA- N2Q N9A NB0 NDZJH NPVJJ NQJWS NU0 O9- O93 O9G O9I O9J OAM P19 P2P P62 P9T PF0 PQQKQ PROAC PT4 PT5 PTHSS Q2X QOK QOS R4E R89 R9I RHV RIG RNI RNS ROL RPX RSV RZK S16 S1Z S26 S27 S28 S3B SAP SCLPG SDH SDM SGB SHX SISQX SJYHP SNE SNPRN SNX SOHCF SOJ SPH SPISZ SRMVM SSLCW STPWE SZN T13 T16 TN5 TSG TSK TSV TUC TUS U2A UG4 UNUBA UOJIU UPT UTJUX UZXMN VC2 VFIZW VH1 VOH W23 W48 WH7 WK8 XFK YLTOR Z45 Z7Y Z7Z Z83 Z8S Z8T Z8W Z92 ZMTXR ZY4 ~8M ~EX AACDK AAJBT AASML AAYXX ABAKF ABJNI ACAOD ACDTI ACZOJ AEFQL AEMSY AFBBN AGQEE AGRTI AIGIU CITATION HVGLF 3V. 7SC 7TB 7XB 8AL 8FD 8FK FR3 JQ2 KR7 L7M L~C L~D PQEST PQUKI PRINS Q9U |
| ID | FETCH-LOGICAL-c396t-c6c1096f35522d61e700ab335683b385ee6ef779e5cbf20e34415c4bf9eb11643 |
| IEDL.DBID | 8FG |
| ISSN | 0003-9527 |
| IngestDate | Thu Oct 10 17:20:18 EDT 2024 Thu Sep 12 18:19:18 EDT 2024 Sun Oct 29 17:10:27 EDT 2023 |
| IsDoiOpenAccess | false |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 4 |
| Keywords | Laplace equations Sufficient condition Weak solution Ground states Elliptic equations |
| Language | English |
| License | CC BY 4.0 |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c396t-c6c1096f35522d61e700ab335683b385ee6ef779e5cbf20e34415c4bf9eb11643 |
| OpenAccessLink | http://www.dmi.unipg.it/~pucci/lavori/exp.pdf |
| PQID | 913488645 |
| PQPubID | 326363 |
| PageCount | 26 |
| ParticipantIDs | proquest_journals_913488645 crossref_primary_10_1007_s002050050162 pascalfrancis_primary_1950141 |
| PublicationCentury | 1900 |
| PublicationDate | 19990901 |
| PublicationDateYYYYMMDD | 1999-09-01 |
| PublicationDate_xml | – month: 09 year: 1999 text: 19990901 day: 01 |
| PublicationDecade | 1990 |
| PublicationPlace | Heidelberg Berlin New York, NY |
| PublicationPlace_xml | – name: Berlin – name: Heidelberg – name: New York, NY |
| PublicationTitle | Archive for rational mechanics and analysis |
| PublicationYear | 1999 |
| Publisher | Springer Springer Nature B.V |
| Publisher_xml | – name: Springer – name: Springer Nature B.V |
| SSID | ssj0003236 |
| Score | 1.9010407 |
| Snippet | . We consider the problem of radial symmetry for non-negative continuously differentiable weak solutions of elliptic equations of the form (ProQuest: Formulae... |
| SourceID | proquest crossref pascalfrancis |
| SourceType | Aggregation Database Index Database |
| StartPage | 265 |
| SubjectTerms | Exact sciences and technology Mathematical methods in physics Numerical approximation and analysis Ordinary and partial differential equations, boundary value problems Physics Studies Symmetry |
| Title | Symmetry of ground states of quasilinear elliptic equations |
| URI | https://www.proquest.com/docview/913488645 |
| Volume | 148 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1LSwMxEA7aXhTxURVrbdmDeAtuNptkFw-i0lqEFl-F3kqSTcBDt4_dHvrvTXbT1SJ4C7shhxlm5pvM5BsArjllEqkAQe1TCUNOlLE5jqBAJhYRkVBckOkMhrQ_Cl_GZOx6czLXVrnxiYWjTmbS3pHf2gpxFNGQ3M8X0A6NssVVN0FjF9RRwJjNvaLec-WIcVBMCLQrGJOAOYrN4uWchUnEkp8gGmyFpIM5z4x0dDnW4o-HLsJO7xgcOrzoPZQKPgE7Km2AI4cdPWeZWQPsDyr-1ewU3H2sp1OVL9feTHv2eik1ewtYaT-8rXj2ZeElX3q2Z8N4Del1FyXpd3YGRr3u51MfujEJUOKY5lBSiUwiog1yCIKEIsV8nwuMCY2wwBFRiirNWKyIFDrwFbYplAyFjo2fNtkSPge1dJaqC-BFCUv8WJpDNAoFMtkxt4RdMddcJ2bdBDcbSU3mJRvGpOI9_i3SJmhvyfFnd2wLmeag1kauE2c02aRS8eW_f1tgr-ROsI1eV6CWL1eqbZBBLjqF_jug_tgdvr5_A8wTtzM |
| link.rule.ids | 315,783,787,12777,21400,27936,27937,33385,33756,43612,43817,74363,74630 |
| linkProvider | ProQuest |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV3NS8MwFA86Dyrix1Scc9qDeAs2TZO2eBCRzanbQNxgt5KkCXhY99HusP_epM2qQ_AW2pDDS957v5f38nsA3DIaCCQ9BJVLBfQZkVrnGIIcaV9EeEJxQabTH9DuyH8bk7GtzclsWeXaJhaGOpkKc0d-bzLEYUh98jibQ9M0yiRXbQeNbbDjY-2qzUPxzktliLFXdAg0IxgRL7AUm8XLOQOTiCE_QdTbcEkHM5Zp6aiyrcUfC124nc4xOLR40XkqN_gEbMm0Do4sdnSsZmZ1sN-v-FezU_DwuZpMZL5YOVPlmOulVM8tYKX58LFk2ZeBl2zhmJoNbTWE056XpN_ZGRh12sPnLrRtEqDAEc2hoALpQERp5OB5CUUycF3GMSY0xByHREoqVRBEkgiuPFdiE0IJn6tI22kdLeFzUEunqbwATpgEiRsJvYhCPkc6OmaGsCtiiqlEjxvgbi2peFayYcQV7_FvkTZAa0OOP7Mjk8jUCzXXco2t0mRxtcWX__69AbvdYb8X914H702wV_IomKKvK1DLF0vZ0igh59fFWfgGram4ew |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1LT8MwDLZgkxAI8Rggxhj0gLhVa5ombcUB8dg0HpvGY9JuVZomEoc92x3270nabDAhcYvaKAcntj_HzmeAK0Z9joSLbOlQbnuMCKVzDNkxUr6IxAnFOZlOp0vbfe95QAaGUig1ZZVLm5gb6mTM9R15Q2eIg4B6pCFNVUTvsXU7mdq6gZROtJpuGptQ9j2KnRKU75vd3vvKLGM37xeoR3ZIXN8Qbubv6DRoIpoKBVF3zUHtTliqZCWLJhd_7HXuhFoHsGfQo3VXbPchbIhRBfYNkrSMnqYV2Oms2FjTI7j5WAyHIpstrLG09GXTSM3NQab-8DZn6ZcGm2xm6QoOZUO41ZwWFODpMfRbzc-Htm2aJtgchzSzOeVIhSVS4QjXTSgSvuOwGGNCAxzjgAhBhfT9UBAeS9cRWAdU3ItlqKy2ip3wCZRG45E4BStI_MQJuVpEIi9GKlZmmr4rZJLJRI2rcL2UVDQpuDGiFQvyb5FWob4mx5_ZoU5rqoVqS7lGRoXSaLXhZ__-vYQtdRCi16fuSw22C1IFXQF2DqVsNhd1BRmy-MIchm99qb4Y |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Symmetry+of+Ground+States+of+Quasilinear+Elliptic+Equations&rft.jtitle=Archive+for+rational+mechanics+and+analysis&rft.au=Serrin%2C+James&rft.au=Zou%2C+Henghui&rft.date=1999-09-01&rft.pub=Springer+Nature+B.V&rft.issn=0003-9527&rft.eissn=1432-0673&rft.volume=148&rft.issue=4&rft.spage=265&rft_id=info:doi/10.1007%2Fs002050050162&rft.externalDBID=HAS_PDF_LINK&rft.externalDocID=2552536731 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0003-9527&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0003-9527&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0003-9527&client=summon |