Jefferson A. Santos
Abstract:
In this work, we study the existence and multiplicity of solutions
for a class of problems involving the
-Laplacian
operator in a
bounded domain, where the nonlinearity has a critical growth.
Our main tool is the variational method combined with the genus
theory for even functionals.
Submitted October 8, 2013. Published November 20, 2013.
Math Subject Classifications: 35J62, 35B33, 35A15.
Key Words: Quasilinear elliptic equations; critical growth;
variational methods.
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Jefferson A. Santos Universidade Federal de Campina Grande Unidade Acadêmica de Matemática e Estatística CEP: 58429-900, Campina Grande - PB, Brazil email: jefferson@dme.ufcg.edu.br |
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