USAChile Workshop on Nonlinear Analysis,
Electron. J. Diff. Eqns., Conf. 06, 2001, pp. 155171.
Double resonant problems which are locally nonquadratic 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 nonquadraticity 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 C^{2}
on real Hilbert spaces.
Published January 8, 2001.
Math Subject Classifications: 35J65, 58E05.
Key Words: Resonance, nonquadratic at infinity, Morse index.
Show me the
PDF file (180K),
TEX file, and other files for this article.

Marcelo F. Furtado
Dpto. Matematica
Universidade de Brasilia
70910 Brasilia, DF Brazil
email: furtado@mat.unb.br


Elves A. B. Silva
Dpto. Matematica
Universidade de Brasilia
70910 Brasilia, DF Brazil
email: elves@mat.unb.br 
Return to the EJDE web page