Nonlinear Elliptic Problems Involving the Generalized p(u) -Laplacian Operator with Fourier Boundary Condition

被引：0

作者：

Temghart, Said Ait ^{[1
]}

Allalou, Chakir ^{[1
]}

Hilal, Khalid ^{[1
]}

机构：

[1] Sultan Moulay Slimane Univ, FST Beni Mellal, Lab LMACS, Beni Mellal, Morocco

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2023年 / 41卷

关键词：

Generalized p(u)-Laplacian; entropy solutions; Fourier boundary condition; Sobolev space with variable exponents; P(U)-LAPLACIAN;

D O I：

10.5269/bspm.62948

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper considers the existence of entropy solutions for some generalized elliptic p(u)-Laplacian problems with Fourier boundary conditions, when the variable exponent p is a real continuous function and we have dependency on the solution u. We get the results by assuming the right-hand side function f to be an integrable function, and by using the regularization approach combined with the theory of Sobolev spaces with variable exponents.

引用

页码：19 / 19

页数：1

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