Mingzhu Wu, Zuodong Yang
Abstract:
We study the perturbed equation
where
,
,
.
Under proper conditions on
and
, we obtain
the existence and multiplicity of solutions. We also study the
existence of solutions which change sign.
Submitted July 23, 2009. Published January 13, 2010.
Math Subject Classifications: 35J25, 35J60.
Key Words: Potential; critical point theory; p-Laplace;
sign changing solution; multiplicity of solutions;
concentration-compactness.
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Mingzhu Wu Institute of Mathematics, School of Mathematical Science Nanjing Normal University, Jiangsu Nanjing 210046, China email: wumingzhu_2010@163.com | |
Zuodong Yang Institute of Mathematics, School of Mathematical Science Nanjing Normal University, Jiangsu Nanjing 210046, China. College of Zhongbei, Nanjing Normal University Jiangsu Nanjing 210046, China email: zdyang_jin@263.net |
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