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.
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页码：499 / 528
页数：29
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