Multiplicity and concentration behavior of positive solutions for a quasilinear problem in Orlicz-Sobolev spaces without Ambrosetti-Rabinowitz condition via penalization method

被引：1

作者：

Ait-Mahiout, K. ^{[1
]}

机构：

[1] Ecole Normale Super, Lab Theorie Point Fixe & Applicat, BP 92, Algiers 16006, Algeria

来源：

JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS | 2020年 / 6卷 / 02期

关键词：

Variational methods; Quasilinear problems; Orlicz-Sobolev space; Positive solutions; ELLIPTIC-EQUATIONS; BOUND-STATES; EXISTENCE;

D O I：

10.1007/s41808-020-00054-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This work is concerned with existence, multiplicity and concentration of positive solutions for the following class of quasilinear problems -Delta(Phi)u+V(epsilon x)phi(vertical bar u vertical bar)u=f(u) in R-N (N >= 2), where Phi(t)=f(0)(vertical bar t vertical bar)phi(s)sds is a N-function, Delta(Phi) is the Phi-Laplacian operator, epsilon is a positive parameter, V:R-N -> R is a continuous function and f:R -> R is a C-1-function.

引用

页码：473 / 506

页数：34

共 39 条

[1] Adams A., 2003, SOBOLEV SPACES
[2] Existence and multiplicity of solutions for a class of quasilinear problems in Orlicz–Sobolev spaces without Ambrosetti–Rabinowitz condition
Ait-Mahiout K.
Alves C.O.
[J]. Journal of Elliptic and Parabolic Equations, 2018, 4 (2) : 389 - 416
[3] Multiple solutions for a class of quasilinear problems in Orlicz-Sobolev spaces
Ait-Mahiout, Karima
Alves, Claudianor O.
[J]. ASYMPTOTIC ANALYSIS, 2017, 104 (1-2) : 49 - 66
[4] Existence and multiplicity of solutions for a class of quasilinear problems in Orlicz-Sobolev spaces
Ait-Mahiout, Karima
Alves, Claudianor O.
[J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2017, 62 (06) : 767 - 785
[5] Alves C.O., 2016, ELECTRON J DIFFER EQ, V2016, P1
[6] EXISTENCE OF POSITIVE SOLUTIONS FOR A CLASS OF SEMIPOSITONE QUASILINEAR PROBLEMS THROUGH ORLICZ-SOBOLEV SPACE
Alves, Claudianor O.
De Holanda, Angelo R. F.
Santos, Jefferson A.
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 147 (01) : 285 - 299
[7] Existence of Multi-peak Solutions for a Class of Quasilinear Problems in Orlicz-Sobolev Spaces
Alves, Claudianor O.
da Silva, Ailton R.
[J]. ACTA APPLICANDAE MATHEMATICAE, 2017, 151 (01) : 171 - 198
[8] Multiplicity and concentration of positive solutions for a class of quasilinear problems through Orlicz-Sobolev space
Alves, Claudianor O.
da Silva, Ailton R.
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2016, 57 (11)
[9] On existence of solution of variational multivalued elliptic equations with critical growth via the Ekeland principle
Alves, Claudianor O.
Carvalho, Marcos L. M.
Goncalves, Jose V. A.
[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2015, 17 (06)
[10] Alves CO, 2014, TOPOL METHOD NONL AN, V44, P435

← 1 2 3 4 →