Entropy solutions for some nonlinear and noncoercive unilateral elliptic problems

被引：4
|
作者：
Akdim, Youssef [1 ]
Belayachi, Mohammed [2 ]
Hjiaj, Hassane [3 ]
Mekkour, Mounir [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 Phys & Informat, Lab LSI, POB 1223, Taza Gare, Morocco
[3] Univ Abdelmalek Essaadi, Fac Sci Tetouan, Dept Math, BP 2121, Tetouan, Morocco
来源：
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2020年 / 69卷 / 03期
关键词：
Nonlinear elliptic equations; Non-coercive problems; Entropy solutions; Obstacle problems; NATURAL GROWTH TERMS; EQUATIONS; EXISTENCE;
D O I：
10.1007/s12215-019-00477-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is concerned with the study of the existence results to the obstacle problem associated with the equation having degenerate coercivity, whose prototype is given by: {- div(b(vertical bar u vertical bar)vertical bar del u vertical bar(p-2)del u) + d(vertical bar u vertical bar)vertical bar del u vertical bar(p) = f(x, u) in Omega, u = 0 on partial derivative Omega, where Omega is a bounded open set of R-N (N >= 2), with 1 < p < N, and f (., s) satisfying some growth condition. We show the existence of entropy solutions for this non-coercive unilateral elliptic equation, and we will conclude some regularity results.
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页码：1373 / 1392
页数：20
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