MULTIPLE SOLUTIONS TO A DIRICHLET EIGENVALUE PROBLEM WITH p-LAPLACIAN

被引：0

作者：

Marano, Salvatore A. ^{[1
]}

Motreanu, Dumitru ^{[2
]}

Puglisi, Daniele ^{[1
]}

机构：

[1] Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania, Italy

[2] Univ Perpignan, Dept Math, F-66860 Perpignan, France

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2013年 / 42卷 / 02期

关键词：

Dirichlet eigenvalue problem; p-Laplacian; constant-sign solutions; nodal solutions; ELLIPTIC-EQUATIONS; CONCAVE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The existence of a greatest negative, a smallest positive, and a nodal weak solution to a homogeneous Dirichlet problem with p-Laplacian and reaction term depending on a positive parameter is investigated via variational as well as topological methods, besides truncation techniques.

引用

页码：277 / 291

页数：15

共 50 条

[31] Influence of Gradient Terms on the Existence of Solutions to the Dirichlet Problem for p-Laplacian
Tersenov A.S.
Journal of Mathematical Sciences, 2018, 228 (4) : 463 - 474
[32] Multiple solutions for the p-Laplacian problem with supercritical exponent
Zhong, Yansheng
BOUNDARY VALUE PROBLEMS, 2015,
[33] Multiple solutions for the p-Laplacian problem with supercritical exponent
Yansheng Zhong
Boundary Value Problems, 2015
[34] Multiple solutions to a pure supercritical problem for the p-Laplacian
Clapp, Monica
Tiwari, Sweta
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2016, 55 (01) : 1 - 23
[35] Multiple solutions to a pure supercritical problem for the p-Laplacian
Mónica Clapp
Sweta Tiwari
Calculus of Variations and Partial Differential Equations, 2016, 55
[36] The Ratio of Eigenvalues of the Dirichlet Eigenvalue Problem for Equations with One-Dimensional p-Laplacian
Bognar, Gabriella
Dosly, Ondrej
ABSTRACT AND APPLIED ANALYSIS, 2010,
[37] Multiple Solutions for Partial Discrete Dirichlet Problems Involving the p-Laplacian
Du, Sijia
Zhou, Zhan
MATHEMATICS, 2020, 8 (11) : 1 - 20
[38] The Dirichlet problem for the vector ordinary p-Laplacian
Song, Yawei
Thompson, Bevan
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2015, 47 (1-2) : 381 - 399
[39] On the eigenvalue problem for the p-Laplacian operator in RN
Liu, Jiaquan
Liu, Xiangqing
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 379 (02) : 861 - 869
[40] Relaxed dirichlet problem for the subelliptic p-laplacian
Biroli M.
Tchou N.
Annali di Matematica Pura ed Applicata, 2001, 179 (1) : 39 - 64

← 1 2 3 4 5 →