UNIFORMLY NONLINEAR ELLIPTIC PROBLEMS WITH OBSTACLE

被引：0
|
作者：
Aharouch, Lahsen [1 ,2 ]
机构：
[1] King Khalid Univ, Coll Sci, Dept Math, Abha, Saudi Arabia
[2] Polydisciplinary Fac Ouarzazate, Ouarzazate, Morocco
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2020年 / 50卷 / 03期
关键词：
Sobolev spaces; nonlinear elliptic problem; truncations; unilateral problems; NATURAL GROWTH TERMS; UNILATERAL PROBLEMS; SIGN CONDITION; EQUATIONS; EXISTENCE;
D O I：
10.1216/rmj.2020.50.793
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove an existence result for solutions to a class of unilateral problems for the nonlinear elliptic equation whose prototype is -div(vertical bar del u vertical bar(p-2) del u) + b(x)vertical bar del u vertical bar(lambda) = f - divF in Omega, where Omega is a bounded open set of R-N, N >= 2, 1 < p < N, 0 <= lambda <= p -1, b(x) belongs to the Lorentz space L-N,L-1 (Omega), f is an element of L-1(Omega) and F is an element of (L-p' (Omega))(N), p' = p/(p - 1).
引用
收藏
页码：793 / 813
页数：21
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