TRUDINGER-MOSER TYPE INEQUALITY AND EXISTENCE OF SOLUTION FOR PERTURBED NON-LOCAL ELLIPTIC OPERATORS WITH EXPONENTIAL NONLINEARITY

被引：20

作者：

Bahrouni, Anouar ^{[1
]}

机构：

[1] Univ Monastir, Dept Math, Fac Sci, Monastir 5019, Tunisia

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2017年 / 16卷 / 01期

关键词：

Integrodifferential operators; exponential nonlinearity; Trudinger-Moser inequality; existence of solution; variational method; BLOW;

D O I：

10.3934/cpaa.2017011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the following perturbed nonlocal problem with exponential nonlinearity {-L(K)u + vertical bar u vertical bar(p-2) u + h(u) = f in Omega, u = 0, in R-N \ Omega, (1) where s is an element of (0, 1), N = ps, p >= 2 and f is an element of L-infinity (R-N). First, we generalize a suitable Trudinger-Moser inequality to a fractional functional space. Then, using the Ekeland's variational principle, we prove the existence of a solution of problem (1).

引用

页码：243 / 252

页数：10

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