Guowei Dai, Ruyun Ma
Abstract:
In this article, we study elliptic problems with discontinuous
nonlinearities involving the p-Laplacian both in bounded and
unbounded domains. We prove that there exists a global branch
of positive solutions under some suitable assumptions of the nonlinearities.
Our results extend the corresponding ones of the Laplacian due to Ambrosetti,
et al.
Submitted July 23, 2012. Published March 5, 2013.
Math Subject Classifications: 35B32, 34B18, 35R70.
Key Words: Global bifurcation; p-Laplacian
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Guowei Dai Department of Mathematics, Northwest Normal University Lanzhou, 730070, China email: daiguowei@nwnu.edu.cn Tel: +86 931 7971297 | |
Ruyun Ma Department of Mathematics, Northwest Normal University Lanzhou, 730070, China email: mary@nwnu.edu.cn |
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