Existence of Entropy Solutions of the Anisotropic Elliptic Nonlinear Problem with Measure Data in Weighted Sobolev Space

被引：4

作者：

Abbassi, Adil ^{[1
]}

Allalou, Chakir ^{[1
]}

Kassidi, Abderrazak ^{[1
]}

机构：

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

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2022年 / 40卷

关键词：

Entropy solutions; Anisotropic unilateral; Weighted anisotropic Sobolev space; EQUATIONS;

D O I：

10.5269/bspm.52541

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to study the following nonlinear anisotropic elliptic unilateral problem {Au -div empty set(u) = mu in Omega u = 0 on partial derivative Omega, where the right hand side mu belongs to L-1 (Omega) + W--1,W-(p) over arrow' (Omega, (omega) over arrow*). The operator Au = - Sigma(N)(i=1) partial derivative(i), a(i)(x, u, del(u)) is a Leray-Lions anisotropic operator acting from W-0(1, (p) over arrow) (Omega, (omega) over arrow) into its dual W--1,W- (p) over arrow (Omega, 1, (omega) over arrow*) and empty set(i) is an element of C-0(R,R).

引用

页数：22

共 18 条

[1]

Abbassi A., 2017, Advances in Science, Technology and Engineering Systems Journal, V2, P45, DOI [10.25046/aj020509, DOI 10.25046/AJ020509]

[2]

Adams R.A., 1975, Sobolev Spaces

[3]

Akdim Y, 2001, ELECTRON J DIFFER EQ

[4]

Akdim Y, 2018, Moroc J Pure Appl Anal, V4, P171

[5]

[Anonymous], 1996, Differential Integral Equations

[6]

Azroul E., 2014, NONLINEAR DYN SYST T, V14, P223

[7]

Azroul E, 2016, AFR MAT, V27, P795, DOI 10.1007/s13370-015-0375-y

[8]

Benkirane A, 2007, Z ANAL ANWEND, V26, P303

[9]

Benkirane A., 1998, RENDICONTI MATEMATIC, V18, P289

[10]

Bnilan P., 1995, Ann. Scuola Norm. Sup. Pisa Cl. Sci, P241

← 1 2 →