Elliptic problems involving the p-Laplacian in Double-struck capital RN with locally Lipschitz functional

被引：0

作者：

Kim, Jae-Myoung ^{[1
]}

机构：

[1] Seoul Natl Univ, Dept Math, Seoul, South Korea

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2019年 / 64卷 / 03期

基金：

新加坡国家研究基金会;

关键词：

Weak solution; nonsmooth critical point; variational method; KIRCHHOFF TYPE PROBLEMS; DISCONTINUOUS NONLINEARITY; EXISTENCE; EQUATIONS; POTENTIALS;

D O I：

10.1080/17476933.2018.1434627

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence of infinitely many weak solutions for the elliptic type equation via a general nonsmooth critical point theorem.

引用

页码：361 / 368

页数：8

共 22 条

[1] On existence and concentration of solutions for an elliptic problem with discontinuous nonlinearity via penalization method [J].

Alves, Claudianor O. ;

Figueiredo, Giovany M. ;

Nascimento, Rubia G. .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2014, 65 (01) :19-40

[2]

Alves CO, 2013, MATH SCAND, V112, P129

[3]

Ambrosetti A., 1973, Journal of Functional Analysis, V14, P349, DOI 10.1016/0022-1236(73)90051-7

[4]

[Anonymous], 1990, CLASSICS APPL MATH

[5] An eigenvalue Dirichlet problem involving the p-Laplacian with discontinuous nonlinearities [J].

Bonanno, G ;

Giovannelli, N .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 308 (02) :596-604

[6] Discontinuous elliptic problems involving the p(x)-Laplacian [J].

Bonanno, Gabriele ;

Chinni, Antonia .

MATHEMATISCHE NACHRICHTEN, 2011, 284 (5-6) :639-652

[7] Infinitely many solutions to the Neumann problem for elliptic equations involving the p-Laplacian and with discontinuous nonlinearities [J].

Candito, P .

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2002, 45 :397-409

[8] AN EXISTENCE RESULT FOR ELLIPTIC DIFFERENTIAL-INCLUSIONS WITH DISCONTINUOUS NONLINEARITY [J].

CARL, S ;

HEIKKILA, S .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1992, 18 (05) :471-479

[9]

CHANG KC, 1978, SCI SINICA, V21, P139

[10] VARIATIONAL-METHODS FOR NON-DIFFERENTIABLE FUNCTIONALS AND THEIR APPLICATIONS TO PARTIAL-DIFFERENTIAL EQUATIONS [J].

CHANG, KC .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1981, 80 (01) :102-129

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