Some Existence and Regularity Results By Neil Trudinger Revisited Without The Weighted Sobolev Spaces Framework
by Lucio Boccardo   G. Rita Cirmi  

Vol. 9 No. 3 (2014) P.295~P.315

ABSTRACT

Following J. Leray and J. L. Lions ([12]), we can say that this paper presents some results by N. Trudinger, concerning linear degenerate elliptic problems, revisited by the methods of [4], [5] (without the use of the weighted Sobolev spaces). Moreover, we study some cases completely new.

KEYWORDS
Degenerate elliptic equations, $W^{1,0}$-solutions.

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 35D30, 35J15, 35J70.

MILESTONES

Received: 2013-10-01
Revised : 2014-05-27
Accepted: 2014-04-06

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