INFINITELY MANY SOLUTIONS FOR A NONLOCAL TYPE PROBLEM WITH SIGN-CHANGING WEIGHT FUNCTION

被引：0

作者：

Azroul, Elhoussine ^{[1
]}

Benkirane, Abdelmoujib ^{[1
]}

Srati, Mohammed ^{[1
]}

Torres, Cesar ^{[2
]}

机构：

[1] Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahraz, Dept Matemat, Lab Math Anal & Applicat, Fes, Morocco

[2] Univ Nacl Trujillo, Dept Matemat, Av Juan Pablo II S-N, Trujillo, Peru

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2021年

关键词：

Fractional Orlicz-Sobolev spaces; critical point theorems; variational methods; LINEAR ELLIPTIC-EQUATIONS; NONLINEARITY; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the existence of weak solutions for a fractional type problem driven by a nonlocal operator of elliptic type (-Delta)(alpha 1)(s) u - lambda a(2)(vertical bar u vertical bar)u = f(x, u) + g(x)vertical bar u vertical bar(q(x)-2)u in Omega u=0 in R-N \ Omega. Our approach is based on critical point theorems and variational methods.

引用

页数：15

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