一类退化非强制椭圆型方程重整解的存在性

IF 0.3 Q4 MATHEMATICS

Mathematica Bohemica Pub Date : 2022-06-23 DOI:10.21136/mb.2022.0061-21

Y. Akdim, M. Belayachi, H. Hjiaj

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引用次数: 0

摘要

．本文研究了一类非线性退化椭圆型方程，其原型为:Ω是R N (N > 2)的有界开集，1 < p < N, f∈l1 (Ω)，在函数b(·)和d(·)的某些生长条件下，假设c(·)在L N/ (p−1)(Ω)中。我们证明了该非强制椭圆方程重整解的存在性，并得到了一些正则性结果。

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Existence of renormalized solutions for some degenerate and non-coercive elliptic equations

. This paper is devoted to the study of some nonlinear degenerated elliptic equations, whose prototype is given by where Ω is a bounded open set of R N ( N > 2) with 1 < p < N and f ∈ L 1 (Ω) , under some growth conditions on the function b ( · ) and d ( · ) , where c ( · ) is assumed to be in L N/ ( p − 1) (Ω) . We show the existence of renormalized solutions for this non-coercive elliptic equation, also, some regularity results will be concluded.

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来源期刊

Mathematica Bohemica MATHEMATICS-

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

52 weeks