Weak solutions for fractional p(x, •)-Laplacian Dirichlet problems with weight

被引：0
作者：
Hammou, Mustapha Ait [1 ]
机构：
[1] Sidi Mohamed Ben Abdellah Univ, Dept Math, Lab Math Anal & Applicat, Fes, Morocco
来源：
ANALYSIS-INTERNATIONAL MATHEMATICAL JOURNAL OF ANALYSIS AND ITS APPLICATIONS | 2022年 / 42卷 / 02期
关键词：
Fractional p(center dot; center dot)-Laplacian operator; weighted variable exponent space; topological degree; EXISTENCE; SPACES; FUNCTIONALS;
D O I：
10.1515/anly-2021-1007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main purpose of this paper is to show the existence of weak solutions for a problem involving the fractional p(x, center dot)-Laplacian operator of the following form: {(-Delta(p)(x,center dot))(s)u(x) + w(x)vertical bar u vertical bar(p) over bar ((x)-2)u = lambda f(x, u) in Omega, u = 0 in R-N \ Omega, The main tool used for this purpose is the Berkovits topological degree.
引用
收藏
页码：121 / 132
页数：12
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