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.

引用

页码：1373 / 1392

页数：20

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