Multiple solutions for a class of quasilinear problems in Orlicz-Sobolev spaces

被引：5

作者：

Ait-Mahiout, Karima ^{[1
]}

Alves, Claudianor O. ^{[2
]}

机构：

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

[2] Univ Fed Campina Grande, Unidade Acad Matemat, BR-58429900 Campina Grande, PB, Brazil

来源：

ASYMPTOTIC ANALYSIS | 2017年 / 104卷 / 1-2期

关键词：

Variational methods; quasilinear problems; Orlicz-Sobolev space; SEMILINEAR ELLIPTIC-EQUATIONS; POSITIVE SOLUTIONS; EXISTENCE;

D O I：

10.3233/ASY-171428

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work is concerned with the existence and multiplicity of solutions for the following class of quasilinear problems -Delta(Phi)u + phi(|u|)u = h(epsilon x) f (u) in R-N, u is an element of W-1,W-Phi (R-N), where Phi(t) = integral(|t|)(0) phi(s)s ds is an N-function, Delta(Phi) is the Phi-Laplacian operator, epsilon > 0 and h, f are continuous functions. In the proof of our main result we have used Variational methods, Ekeland's variational principle and some properties of the Nehari manifolds.

引用

页码：49 / 66

页数：18

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