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

Abstract

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.

Keywords

• Quasilinear elliptic equations
• critical growth
• variational methods