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

被引：4
|
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.
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页码：49 / 66
页数：18
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