M. Ramos & P. Rodrigues
Abstract:
We prove the existence of a nonzero solution for the fourth order
elliptic equation
with boundary conditions
.
Here,
is a real parameter,
is superlinear
both at zero and infinity and
changes sign in
.
The proof uses a variational argument based on the argument
by Bahri-Lions [3].
Published January 1, 2001.
Math Subject Classifications: 35J25, 35J20, 58E05.
Key Words: Superlinear elliptic problems, Morse index, biharmonic operator.
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Paula Rodrigues
FCT, Universidade Nova de Lisboa
Quinta da Torre
2825 Monte da Caparica, Portugal
e-mail: paula.p.rodrigues@netc.pt