On the behaviour of the solutions to p-laplacian equations as p goes to 1

被引：37
|
作者：
Mercaldo, A. [1 ]
Segura de Leon, S. [2 ]
Trombetti, C. [1 ]
机构：
[1] Univ Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, Italy
[2] Univ Valencia, Dept Anal Matemat, E-46100 Valencia, Spain
来源：
PUBLICACIONS MATEMATIQUES | 2008年 / 52卷 / 02期
关键词：
nonlinear elliptic equations; 1-Laplace operator;
D O I：
10.5565/PUBLMAT_52208_07
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper we study the behaviour as p goes to I of the weak solutions to the problems [GRAPHICS] where Omega is a bounded open set of R-N (N >= 2) with Lipschitz boundary and p > 1. As far as the datum f is concerned, we analyze several cases: the most general one is f epsilon W--1,W-infinity(Omega). We also illustrate our results by means of remarks and examples.
引用
收藏
页码：377 / 411
页数：35
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