Existence results for a p(x)-Laplacian problem with nonlinear boundary condition

被引：0

作者：

Hammou, Mustapha Ait ^{[1
]}

机构：

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

来源：

AFRIKA MATEMATIKA | 2022年 / 33卷 / 04期

关键词：

Topological degree theory; Generalized Lebesgue and Sobolev spaces; Nonlinear boundary condition; VARIABLE EXPONENT; FUNCTIONALS; EQUATIONS; SPACES;

D O I：

10.1007/s13370-022-01033-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using topological degree theory and under appropriate assumptions on the perturbation terms f(x, u) and g(x, u), we will prove the existence of at least one weak solution for a p(x)-Laplacian problem with a nonlinear boundary condition in a bounded domain Omega.

引用

页数：9

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