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arXiv:1207.6671 [math.AP]AbstractReferencesReviewsResources

Maximum principle and one-sign solutions for the elliptic $p$-Laplacian

Guowei Dai

Published 2012-07-28Version 1

In this paper, we prove a maximum principle for the $p$-Laplacian with a sign-changing weight. As an application of this maximum principle, we study the existence of one-sign solutions for a class of quasilinear elliptic problems.

Comments: 6 pages
Categories: math.AP
Subjects: 35B50, 35B32, 35D05, 35J70
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