ON SOME NONLINEAR ELLIPTIC PROBLEMS WITH BOUNDARY CONDITIONS IN GENERALIZED SOBOLEV SPACES

被引：1
|
作者：
Azraibi, Ouidad [1 ]
Alla, Said Ait Dada [2 ]
El Haji, Badr [2 ]
机构：
[1] Sidi Mohamed Ben Abdellah Univ, Fac Sci, Dept Math, Atlas Fez, Morocco
[2] Abdelmalek Essaadi Univ, Fac Sci Tetouan, Dept Math, Tetouan, Morocco
来源：
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2024年 / 2024卷
关键词：
Anisotropic weighted Sobolev spaces; Elliptic problem; Entropy solutions; Measure data; Truncation; EXISTENCE; EQUATIONS;
D O I：
10.23952/jnfa.2024.19
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to establish existence results for the following anisotropic elliptic equation - div B(x , theta, del theta) = f - div F, where the datum f is an element of L-1 (Omega) and F is an element of Pi(N)(i = 1) L-i(p)' (Omega, w(i)*) . Furthermore, only the large monotonicity conditions are assumed on B ( x, s, xi). To overcome this difficulty, we use the approach of Minty's lemma in the anisotropic weighted Sobolev spaces.
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