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

被引：19
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).
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收藏
页码：243 / 252
页数：10
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