Jiu Liu, Jia-Feng Liao, Chun-Lei Tang
Abstract:
In this article, we study the semilinear elliptic equation
where
,
if
, and
if
,
where
is a bounded
set with nonempty interior. By using the Nehari manifold, we obtain
a positive ground state solution.
Submitted January 17, 2015. Published April 7, 2015.
Math Subject Classifications: 35J20, 35J61.
Key Words: Semilinear elliptic equation; zero mass; Nehari manifold;
ground state solution.
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Jiu Liu School of Mathematics and Statistics Southwest University Chongqing 400715, China email: jiuliu2011@163.com |
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Jia-Feng Liao School of Mathematics and Statistics Southwest University Chongqing 400715, China email: liaojiafeng@163.com |
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Chun-Lei Tang School of Mathematics and Statistics Southwest University Chongqing 400715, China Phone +86 23 68253135, Fax +86 23 68253135 email: tangcl@swu.edu.cn |
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