Geodesic
Multiplicity of solutions for quasilinear equations involving critical Orlicz-Sobolev nonlinear terms
Electronic Journal of Differential Equations, Tome 2013 (2013).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {2013},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a80/}
}
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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/