Existence of Infinite Energy Solutions of Degenerate Elliptic Equations

被引：3

作者：

Moscariello, Gioconda ^{[1
]}

di Napoli, Antonia Passarelli ^{[1
]}

Porzio, Maria Michaela ^{[2
]}

机构：

[1] Univ Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, Italy

[2] Univ Roma La Sapienza, Dipartimento Matemat G Castelnuovo, I-00185 Rome, Italy

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2012年 / 31卷 / 04期

关键词：

Infinite energy solutions; Orlicz-Zygmund classes; maximal function; RIGHT-HAND SIDE; WEAK SOLUTIONS; INTEGRABILITY; REGULARITY; MINIMA;

D O I：

10.4171/ZAA/1466

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish an existence theorem for infinite energy solutions of degenerate elliptic equations whose right hand side belongs to a Orlicz-Zygmund class. The function which measures the degree of degeneracy of the problem is assumed to be exponentially integrable. We also study the regularity of the solution when the right hand side belongs to a suitable Lebesgue space.

引用

页码：393 / 426

页数：34

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