Jefferson A. Santos
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
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