Existence and uniqueness for a class of nonlinear elliptic equations with measure data

被引：0

作者：

Maria Michaela Porzio

Flavia Smarrazzo

机构：

[1] Università di Roma ”La Sapienza”,Dipartimento di Pianificazione, Design, Tecnologia dell’Architettura

[2] Università Campus Bio-Medico di Roma,undefined

来源：

Annali di Matematica Pura ed Applicata (1923 -) | 2022年 / 201卷

关键词：

Radon measures; Compatibility conditions; Nonlinear degenerate elliptic equations; Inhomogeneous media; Primary: 35D99; 35J70; 35R25; Secondary: 28A33; 28A50;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study existence and uniqueness of Radon measure-valued solutions for a class of nonlinear elliptic equations in inhomogeneous media. Solutions are constructed by a regularization procedure which relies on a standard approximation of the measure data and satisfy both a persistence property and a compatibility condition prescribing the structure of their concentrated and diffuse parts with respect to a suitable capacity.

引用

页码：499 / 528

页数：29

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