NEUMANN PROBLEMS FOR NONLINEAR ELLIPTIC EQUATIONS INVOLVING VARIABLE EXPONENT AND MEASURE DATA

被引：0

作者：

Benboubker, Mohamed Badr ^{[1
]}

Ouaro, Stanislas ^{[2
]}

Traore, Urbain ^{[3
]}

机构：

[1] Sidi Mohamed Ben Abdellah Univ, Higher Sch Technol, Fes, Morocco

[2] Univ Ouagadougou, Lab Anal Math Equat LAME, UFR, Sci Exactes & Appl, 03 BP 7021 Ouaga 03, Ouagadougou, Burkina Faso

[3] Univ Joseph KI ZERBO, Lab Math & Informat LAMI, Ouagadougou, Burkina Faso

来源：

MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS | 2024年 / 92卷

关键词：

Nonlinear elliptic problem; variable exponents; entropy solution; Neumann boundary conditions; Radon measure; BOUNDARY-VALUE-PROBLEMS; ENTROPY SOLUTIONS; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the question of the existence of entropy solutions for the problem - div ( a ( x, u, del u ) + Phi( u )) + g ( x, u, del u ) = mu posed in an open bounded subset ohm of R- N with the homogeneous Neumann boundary condition ( a ( x, u, del u ) + Phi( u )) <middle dot> eta = 0 . The functional setting involves Lebesgue and Sobolev spaces with variable exponent.

引用

页码：13 / 40

页数：28

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