Eigenvalue Problem with Nonstandard Growth Conditions and Involving Concave and Convex Nonlinearities
In this paper, we are concerned with new phenomena which arise when we study some eigenvalue problem involving variable exponents. Variational method is employed to obtain some existence and multiplicity results.
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| Published in | Mediterranean journal of mathematics Vol. 11; no. 4; pp. 1149 - 1169 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Basel
Springer Basel
01.11.2014
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1660-5446 1660-5454 |
| DOI | 10.1007/s00009-013-0333-6 |
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| Abstract | In this paper, we are concerned with new phenomena which arise when we study some eigenvalue problem involving variable exponents. Variational method is employed to obtain some existence and multiplicity results. |
|---|---|
| AbstractList | In this paper, we are concerned with new phenomena which arise when we study some eigenvalue problem involving variable exponents. Variational method is employed to obtain some existence and multiplicity results. |
| Author | Aouaoui, Sami |
| Author_xml | – sequence: 1 givenname: Sami surname: Aouaoui fullname: Aouaoui, Sami email: aouaouisami@yahoo.fr organization: Département de mathématiques, Faculté des sciences de Monastir, Rue de l’environnement |
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| Cites_doi | 10.1016/0022-1236(73)90051-7 10.1016/j.jmaa.2005.02.002 10.1016/j.jfa.2009.08.005 10.1080/17476931003786709 10.1098/rspa.2005.1633 10.1016/0022-247X(74)90025-0 10.1080/03605300701518208 10.1016/j.na.2011.09.035 10.1006/jfan.1994.1078 10.1016/j.na.2010.02.033 10.1090/S0002-9939-1995-1301008-2 10.1090/S0002-9939-07-08815-6 10.1016/S0362-546X(02)00150-5 10.1006/jfan.1996.0125 10.4064/sm-143-3-267-293 10.12775/TMNA.1997.010 10.1007/978-3-642-18363-8 10.1007/BFb0072210 10.1007/BFb0104029 10.1016/S1874-5733(06)80005-7 |
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| Keywords | Ekeland’s principle 35J20 convex–concave terms 58E05 35J62 mountain-Pass Theorem energy functional 35D30 Critical point variable exponent eigenvalue problem |
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| Title | Eigenvalue Problem with Nonstandard Growth Conditions and Involving Concave and Convex Nonlinearities |
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