Manasses de Souza
Abstract:
Using minimax methods we study the existence and multiplicity of
nontrivial solutions for a singular class of semilinear elliptic
nonhomogeneous equation where the potentials can change sign and
the nonlinearities may be unbounded in
and behaves like
when
.
We establish the
existence of two distinct solutions when the perturbation is
suitable small.
Submitted May 2, 2011. Published August 3, 2011.
Math Subject Classifications: 35J60, 35J20, 35B33.
Key Words: Variational methods; Trudinger-Moser inequality;
critical points; critical exponents.
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Manasses de Souza Departamento de Matemática Universidade Federal da Paraíba 58.051-900 João Pessoa, PB, Brazil email: manasses@mat.ufpb.br |
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