USA-Chile Workshop on Nonlinear Analysis,
Electron. J. Diff. Eqns., Conf. 06, 2001, pp. 155-171.
Double resonant problems which are locally non-quadratic at infinity
Marcelo F. Furtado & Elves A. B. Silva
Abstract:
We establish the existence of a nontrivial solution for a double
resonant elliptic problem under a local non-quadraticity condition
at infinity and pointwise limits. We also study the existence
of a nonzero solution when there is resonance at the first eigenvalue.
The first result is obtained as an application of an
abstract theorem that establishes the existence of a nontrivial
critical point for functionals of class C2
on real Hilbert spaces.
Published January 8, 2001.
Math Subject Classifications: 35J65, 58E05.
Key Words: Resonance, non-quadratic at infinity, Morse index.
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Marcelo F. Furtado
Dpto. Matematica
Universidade de Brasilia
70910 Brasilia, DF Brazil
e-mail: furtado@mat.unb.br
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Elves A. B. Silva
Dpto. Matematica
Universidade de Brasilia
70910 Brasilia, DF Brazil
e-mail: elves@mat.unb.br |
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