Zhe Hu, Li Wang, Peihao Zhao
Abstract:
This article concerns the existence of positive solutions for a
nonlinear Neumann problem involving the m-Laplacian.
The equation does not have a variational structure. We use a blow-up
argument and a Liouville-type theorem to obtain a priori estimates
and obtain the existence of positive solutions by the Krasnoselskii
fixed point theorem.
Submitted March 19, 2016. Published July 12, 2016.
Math Subject Classifications: 26A33, 65M12, 65M06.
Key Words: m-Laplacian; nonlinear Neumann boundary conditions;
a priori estimates.
Show me the PDF file (211 KB), TEX file for this article.
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Zhe Hu School of Mathematics and Statistics Lanzhou University Lanzhou 730000, China email: huzhe@upc.edu.cn |
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Li Wang School of Mathematics and Statistics Lanzhou University Lanzhou 730000, China email: lwang10@lzu.edu.cn |
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Peihao Zhao School of Mathematics and Statistics Lanzhou University Lanzhou 730000, China email: zhaoph@lzu.edu.cn |
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