ISOPERIMETRIC INEQUALITIES FOR POSITIVE SOLUTION OF P-LAPLACIAN

被引：2

作者：

Hu, Huaxiang ^{[1
]}

Dai, Qiuyi ^{[2
]}

机构：

[1] Hunan First Normal Coll, Dept Educ & Sci, Changsha 410205, Hunan, Peoples R China

[2] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2014年 / 17卷 / 04期

关键词：

Isoperimetric inequality; Schwarz symmetrization; P-Laplacian; positive solution; FABER-KRAHN INEQUALITY; 1ST EIGENFUNCTION; ROBIN PROBLEMS; MEMBRANE; EIGENVALUE; EXTENSION; EQUATIONS;

D O I：

10.7153/mia-17-107

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove some isoperimetric inequalities and give a explicit bound for the positive solution of P-Laplacian.

引用

页码：1453 / 1469

页数：17

共 50 条

[1] EXISTENCE OF POSITIVE SOLUTION TO A p-LAPLACIAN SYSTEM
Ruigai Qi
[J]. Annals of Applied Mathematics, 2009, (03) : 332 - 342
[2] On the existence of positive solutions for hemivariational inequalities driven by the p-Laplacian
Filippakis, M
Gasinski, L
Papageorgiou, NS
[J]. JOURNAL OF GLOBAL OPTIMIZATION, 2005, 31 (01) : 173 - 189
[3] On the Existence of Positive Solutions for Hemivariational Inequalities Driven by the p-Laplacian
Michael Filippakis
Leszek Gasiński
Nikolaos S. Papageorgiou
[J]. Journal of Global Optimization, 2005, 31 : 173 - 189
[4] INEQUALITIES FOR EIGENFUNCTIONS OF THE P-LAPLACIAN
Bhayo, B. A.
Vuorinen, M.
[J]. PROBLEMY ANALIZA-ISSUES OF ANALYSIS, 2013, 2 (01): : 14 - 37
[5] Existence of a positive solution for a p-Laplacian semipositone problem
Chhetri, Maya
Shivaji, R.
[J]. BOUNDARY VALUE PROBLEMS, 2005, 2005 (03) : 323 - 327
[6] A positive solution for some critical p-Laplacian systems
Wang, Xiao Zhi
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2015, 31 (03) : 479 - 500
[7] A Positive Solution for Some Critical p-Laplacian Systems
Xiao Zhi WANG
[J]. Acta Mathematica Sinica,English Series, 2015, (03) : 479 - 500
[8] A Positive Solution for Some Critical p-Laplacian Systems
Xiao Zhi WANG
[J]. Acta Mathematica Sinica, 2015, 31 (03) : 479 - 500
[9] A positive solution for some critical p-Laplacian systems
Xiao Zhi Wang
[J]. Acta Mathematica Sinica, English Series, 2015, 31 : 479 - 500
[10] Existence of the second positive radial solution for a p-Laplacian problem
Kim, Chan-Gyun
Lee, Eun Kyoung
Lee, Yong-Hoon
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (13) : 3743 - 3750

← 1 2 3 4 5 →