Geodesic
Multiplicity of solutions for quasilinear equations involving critical Orlicz-Sobolev nonlinear terms
Electronic journal of differential equations, Tome 2013 (2013)
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.
Classification : 35J62, 35B33, 35A15
Keywords: quasilinear elliptic equations, critical growth, variational methods 
@article{EJDE_2013__2013__a80,
     author = {Santos,  Jefferson A.},
     title = {Multiplicity of solutions for quasilinear equations involving critical {Orlicz-Sobolev} nonlinear terms},
     journal = {Electronic journal of differential equations},
     year = {2013},
     volume = {2013},
     zbl = {1291.35083},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a80/}
}
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AU  - Santos,  Jefferson A.
TI  - Multiplicity of solutions for quasilinear equations involving critical Orlicz-Sobolev nonlinear terms
JO  - Electronic journal of differential equations
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VL  - 2013
UR  - http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a80/
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ID  - EJDE_2013__2013__a80
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%0 Journal Article
%A Santos,  Jefferson A.
%T Multiplicity of solutions for quasilinear equations involving critical Orlicz-Sobolev nonlinear terms
%J Electronic journal of differential equations
%D 2013
%V 2013
%U http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a80/
%G en
%F EJDE_2013__2013__a80
Santos,  Jefferson A. Multiplicity of solutions for quasilinear equations involving critical Orlicz-Sobolev nonlinear terms. Electronic journal of differential equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a80/