Solvability of nonlinear multivalued elliptic problems involving degenerate coercivity with variable exponents and L1 - data.

被引：0

作者：

Akdim, Youssef ^{[1
]}

Belayachi, Mohammed ^{[2
]}

Ouboufettal, Morad ^{[1
]}

机构：

[1] Univ Sidi Mohamed Ben Abdellah, Fac Sci Dhar El Mahraz, Dept Math, LAMA Lab, POB 1796, Atlas Fez, Morocco

[2] Univ Sidi Mohamed Ben Abdellah, Fac Polydisciplinary Taza, Dept Math, Lab LSI, POB 1223, Taza, Morocco

来源：

FILOMAT | 2024年 / 38卷 / 16期

关键词：

Degenerate coercivity; Entropy solution; Maximal monotone graph; Multivalued problems; Sobolev spaces with variable exponents; SOBOLEV SPACES; LEBESGUE;

D O I：

10.2298/FIL2416839A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is interested in studying existence results for a general class of nonlinear elliptic problems with variable exponents associated with the differential ff erential inclusion and degenerate coercivity. We prove an existence of entropy solutions for this non-coercive differential ff erential inclusion. Moreover, we will give some regularity results for these solutions.

引用

页码：5839 / 5861

页数：23

共 24 条

[1]

Adams R.A., 1975, Sobolev Spaces, Pure and Applied Mathematics, V65

[2]

Akdim Y, 2022, J ELLIPTIC PARABOL, V8, P127, DOI 10.1007/s41808-022-00145-0

[3]

Alvino A., 2003, ANNMATPURA APPL, V4, P53

[4]

Benboubker MB, 2011, ELECTRON J DIFFER EQ