Electron. J. Diff. Equ., Vol. 2013 (2013), No. 249, pp. 1-13.

Multiplicity of solutions for quasilinear equations involving critical Orlicz-Sobolev nonlinear terms

Jefferson A. Santos

In this work, we study the existence and multiplicity of solutions for a class of problems involving the $\phi$-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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