Yiwei Ye, Chun-Lei Tang
Abstract:
In this article, we study the existence of infinitely many solutions
for the semilinear elliptic equation
in a bounded domain of
with the Dirichlet boundary conditions, where the primitive of the
nonlinearity f is either superquadratic at infinity or
subquadratic at zero.
Submitted September 1, 2013. Published June 16, 2014.
Math Subject Classifications: 34C25, 35B38, 47J30.
Key Words: Elliptic boundary value problems; critical points;
Cerami sequence; fountain theorem; symmetric mountain pass lemma.
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Yiwei Ye School of Mathematics and Statistics, Southwest University Chongqing 400715, China email: yeyiwei2011@126.com | |
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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