A NOTE ON UNIQUENESS FOR L1-DATA ELLIPTIC PROBLEMS WITH ORLICZ GROWTH

被引：4

作者：

Chlebicka, Iwona ^{[1
]}

Giannetti, Flavia ^{[2
]}

Zatorska-Goldstein, Anna ^{[1
]}

机构：

[1] Univ Warsaw, Inst Appl Math & Mech, Banacha 2, PL-02097 Warsaw, Poland

[2] Univ Napoli, Dipartimento Matemat & Applicaz R Caccioppoli, Via Cintia, I-80126 Naples, Italy

来源：

COLLOQUIUM MATHEMATICUM | 2022年 / 168卷 / 02期

关键词：

measure data problems; uniqueness; Orlicz-Sobolev spaces; BOUNDARY-VALUE-PROBLEMS; RENORMALIZED SOLUTIONS; EQUATIONS;

D O I：

10.4064/cm8472-4-2021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study existence and uniqueness of solutions to the problem - div A (x, u, del u) + g(x, u) = f in Omega subset of R, where Omega is a bounded Lipschitz domain, A has Orlicz growth with respect to the last two variables, g satisfies the sign condition with respect to the second variable, and f is merely integrable.

引用

页码：199 / 210

页数：12

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