BRUNN-MINKOWSKI INEQUALITY FOR VARIATIONAL FUNCTIONAL INVOLVING THE P-LAPLACIAN OPERATOR

In this paper, we investigate the following elliptic problem involving the P- Laplacian where p 〉 1,0 〈 q 〈 p- 1, K R^n with K∈K^n and prove that the energy integral of the problem （P） satisfies a Brunn-Minkowski type inequality.

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Bibliographic Details
Published inActa mathematica scientia Vol. 29; no. 5; pp. 1143 - 1154
Main Author 胡华香 周树清
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.09.2009
Department of Mathematics, Hunan Normal University, Changsha 410081, China
Subjects
35J20
35J60
Brunn-Minkowski type inequlity
energy integral
Laplacian
Minkowski不等式
P-Laplacian
拉普拉斯
椭圆问题
能源问题
P-Laplacian
Brunn-Minkowski type inequlity
35J20
energy integral
35J60
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Summary:In this paper, we investigate the following elliptic problem involving the P- Laplacian where p 〉 1,0 〈 q 〈 p- 1, K R^n with K∈K^n and prove that the energy integral of the problem （P） satisfies a Brunn-Minkowski type inequality.
Bibliography:P-Laplacian; energy integral; Brunn-Minkowski type inequlity
O157.5
O178
P-Laplacian
Brunn-Minkowski type inequlity
energy integral
42-1227/O
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(09)60092-8