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

共 50 条

[1] Existence of Entropy solutions for some nonlinear elliptic problems involving variable exponent and measure data
Ahmedatt, Taghi
Azroul, Elhoussine
Hjiaj, Hassane
Touzani, Abdelfattah
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2018, 36 (02): : 33 - 55
[2] Solvability of nonlinear anisotropic elliptic unilateral problems with variable exponent and measure data
Abdelhafid Salmani
Youssef Akdim
Ahmed Sanhaji
Journal of Elliptic and Parabolic Equations, 2023, 9 : 1165 - 1193
[3] Entropy and renormalized solutions for nonlinear elliptic problem involving variable exponent and measure data
Mohamed Badr Benboubker
Houssam Chrayteh
Mostafa El Moumni
Hassane Hjiaj
Acta Mathematica Sinica, English Series, 2015, 31 : 151 - 169
[4] Entropy and Renormalized Solutions for Nonlinear Elliptic Problem Involving Variable Exponent and Measure Data
Benboubker, Mohamed Badr
Chrayteh, Houssam
El Moumni, Mostafa
Hjiaj, Hassane
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2015, 31 (01) : 151 - 169
[5] Entropy and Renormalized Solutions for Nonlinear Elliptic Problem Involving Variable Exponent and Measure Data
Mohamed Badr BENBOUBKER
Houssam CHRAYTEH
Mostafa EL MOUMNI
Hassane HJIAJ
Acta Mathematica Sinica,English Series, 2015, (01) : 151 - 169
[6] Entropy and Renormalized Solutions for Nonlinear Elliptic Problem Involving Variable Exponent and Measure Data
Mohamed Badr BENBOUBKER
Houssam CHRAYTEH
Mostafa EL MOUMNI
Hassane HJIAJ
ActaMathematicaSinica, 2015, 31 (01) : 151 - 169
[7] On removable singularities for solutions of Neumann problem for elliptic equations involving variable exponent
Apaza, Juan Alcon
JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS, 2023, 9 (01) : 107 - 123
[8] On removable singularities for solutions of Neumann problem for elliptic equations involving variable exponent
Juan Alcon Apaza
Journal of Elliptic and Parabolic Equations, 2023, 9 : 107 - 123
[9] On solutions of anisotropic elliptic equations with variable exponent and measure data
Kozhevnikova, L. M.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2020, 65 (03) : 333 - 367
[10] Existence and uniqueness result for nonlinear anisotropic elliptic unilateral problems with variable exponent and measure data
Salmani, A.
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2023, 72 (03) : 1687 - 1717

← 1 2 3 4 5 →