Zhou Yang, Di Geng, Huiwen Yan
Abstract:
In this paper, we consider the singular
-Laplacian type equation
where
,
is a smooth bounded domain in
containing the origin,
satisfies some growth
and singularity conditions. Under some mild assumptions on
,
applying the three critical points theorem developed
by Bonanno, we establish the existence of at least three distinct
weak solutions to the above problem if
admits some
hypotheses on the behavior at
or perturbation property.
Submitted January 14, 2008. Published April 22, 2008.
Math Subject Classifications: 35J60.
Key Words: p-Laplacian operator; singularity; multiple solutions.
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Zhou Yang School of Math. Sci., South China Normal University Guangzhou 510631, China email: yangzhou@scnu.edu.cn | |
Di Geng School of Math. Sci., South China Normal University Guangzhou 510631, China email: gengdi@scnu.edu.cn | |
Huiwen Yan School of Math. Sci., South China Normal University Guangzhou 510631, China email: hwyan10@yahoo.com.cn |
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