Guoqing Zhang, Xiangping Liu, Sanyang Liu
Abstract:
In this article, we establish the existence and non-existence of solutions
for quasilinear equations with nonlinear boundary conditions and indefinite
weight. Our proofs are based on variational methods and their geometrical
features. In addition, we prove that all the weak solutions are in
for some
.
Submitted June 18, 2012. Published November 24, 2012.
Math Subject Classifications: 35J60, 35P30.
Key Words: Regularity; existence; nonlinear boundary conditions;
indefinite weight.
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Guoqing Zhang College of Science University of Shanghai for Science and Technology Shanghai 200093, China email: shzhangguoqing@126.com | |
Xiangping Liu College of Science University of Shanghai for Science and Technology Shanghai 200093, China email: Liuxp83355650@yeah.net | |
Sanyang Liu Department of Applied Mathematics Xidian University Xi'an 710071, China email: liusanyang@126.com |
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