Manasses de Souza
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
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