Existence results for Steklov problem involving the p(x)-Laplace operator

被引：7

作者：

Ben Ali, Khaled ^{[1
,2
]}

机构：

[1] Jazan Tech Coll, Jazan, Saudi Arabia

[2] Univ Tunis El Manar, Fac Sci Tunis, Tunis, Tunisia

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2018年 / 63卷 / 12期

关键词：

p(x)-Laplace operator; variable exponent Lebesgue space; variable exponent Sobolev space; variational methods; Ekeland's variational principle; VARIABLE EXPONENT; EIGENVALUE PROBLEM; SPACES;

D O I：

10.1080/17476933.2017.1403425

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the following non-linear Steklov boundaryvalue problem where . RN ( N = 2) is a bounded smooth domain,. is a positive parameter, a. L 8 (Omega) with ess inf Omega a > 0, p. C(Omega) and. is the outer unit normal to. Omega. Using the min- max method and Ekeland's variational principle, we prove some results on the existence of weak nontrivial solutions.

引用

页码：1675 / 1686

页数：12

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