On a class of nonvariational problems in fractional Orlicz–Sobolev spaces

被引：0
|
作者：
Bahrouni A. [1 ]
Bahrouni S. [1 ]
Xiang M. [2 ]
机构：
[1] Mathematics Department, Faculty of Sciences, University of Monastir, Monastir
[2] College of Science, Civil Aviation University of China, Tianjin
来源：
Nonlinear Analysis, Theory, Methods and Applications | 2020年 / 190卷
关键词：
Fractional M-Laplacian; Fractional Orlicz–Sobolev space; Nonvariational problem; Pseudomonotone operator;
D O I：
10.1016/j.na.2019.111595
中图分类号：
学科分类号：
摘要：
In this paper, we deal with a nonlinear problem driven by the fractional M-Laplacian and with a nonlinear nonhomogeneous reaction term. First, we give some further properties for the new fractional Orlicz–Sobolev space. Then, using the theory of nonlinear operators of monotone-type, we show the existence of a nonnegative solution. Our problem is nonvariational in nature. © 2019 Elsevier Ltd
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