Multiplicity of solutions for quasilinear equations involving critical Orlicz-Sobolev nonlinear terms
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.
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| Format: | Article |
| Language: | English |
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Texas State University
2013-11-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/249/abstr.html |