Existence results for perturbed weighted p(x)-biharmonic problem with Navier boundary conditions

被引：4
|
作者：
Mbarki, Lamine [1 ]
机构：
[1] Univ Tunis El Manar, Fac Sci, Dept Math, Tunis, Tunisia
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2021年 / 66卷 / 04期
关键词：
p(x)-biharmonic; generalized Sobolev and Lebesgue space; Navier boundary conditions; mountain pass theorem; Ekeland variational principle;
D O I：
10.1080/17476933.2020.1729140
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we are interested in the study of the following problem with Navier boundary conditions Delta(vertical bar x vertical bar(p(x))vertical bar Delta u vertical bar(p(x)-2) Delta u) = lambda V(x)vertical bar u vertical bar(q(x)-2)u in Omega, u = Delta u = 0 on partial derivative Omega, where Omega is a smooth bounded domain in R-n, lambda > 0, the potential V is in some generalized Sobolev space, and p, q : Omega -> [1,infinity) are continuous functions. The main tools used here are based on the variational method combined with the Mountain Pass theorem and Ekeland variational principle.
引用
收藏
页码：569 / 582
页数：14
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