HOLDER CONTINUITY OF DEGENERATE p-HARMONIC FUNCTIONS

被引：5

作者：

Giannetti, Flavia ^{[1
]}

di Napoli, Antonia Passarelli ^{[1
]}

机构：

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

来源：

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2014年 / 39卷 / 02期

关键词：

Degenerate elliptic equations; Holder's continuity; WEAK SOLUTIONS; REGULARITY;

D O I：

10.5186/aasfm.2014.3949

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a partial Holder continuity result for finite energy solutions of degenerate elliptic equations. The function that measures the degeneracy of the problem is assumed to belong to a suitable Sobolev class. Moreover, we prove an analogous result for infinite energy solutions provided their gradients have a suitable degree of integrability.

引用

页码：567 / 577

页数：11

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