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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