Guoqing Zhang, Huiling Fu
Abstract:
In this article, we prove a compact embedding theorem for the weighted
Orlicz-Sobolev space of radially symmetric functions. Using the embedding
theorem and critical points theory, we prove the existence of multiple
radial solutions and radial ground states for the following modified capillary
surface equation
where
,
,
satisfies some suitable conditions,
and
are continuous, nonnegative functions.
Submitted August 6, 2014. Published March 7, 2015.
Math Subject Classifications: 35J65, 35J70.
Key Words: Compact theorem; modified capillary surface equation;
weighted Orlicz-Sobolev space; ground state.
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Guoqing Zhang College of Sciences University of Shanghai for Science and Technology Shanghai 200093, China email: shzhangguoqing@126.com | |
Huiling Fu College of Sciences University of Shanghai for Science and Technology Shanghai 200093, China email: fuhuiliing80@163.com |
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