David G. Costa, Yuxia Guo, & Miguel Ramos
We prove the existence of a nontrivial solution for the nonlinear elliptic problem
where is superlinear near zero and near infinity, changes sign, is positive, and is a weight function. For odd, we prove the existence of an infinite number of solutions.
Submitted June 23, 2001. Published March 4, 2002.
Math Subject Classifications: 35J25, 35J20, 58E05.
Key Words: Superlinear elliptic problems, Morse index, minimax methods.
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Chinese Academy of Sciences
Beijing 100080, China
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