Generalized n -Laplacian: Quasilinear nonhomogenous problem with critical growth

@inproceedings{ern2011GeneralizedN,
  title={Generalized n -Laplacian: Quasilinear nonhomogenous problem with critical growth},
  author={Robert {\vC}ern{\'y}},
  year={2011}
}
  • Robert Černý
  • Published 2011
  • Mathematics
  • Abstract Applying the generalized Moser–Trudinger inequality, the Mountain Pass Theorem and the Ekeland Variational Principle we study the existence of non-trivial weak solutions to the problem − div ( Φ ′ ( | ∇ u | ) ∇ u | ∇ u | ) + V ( x ) Φ ′ ( | u | ) u | u | = f ( x , u ) + μ h ( x ) , x ∈ R n , u ∈ W 1 L Φ ( R n ) where Φ is a Young function such that the space  W 1 L Φ ( R n ) is embedded into exponential or multiple exponential Orlicz space, the nonlinearity f ( x , t ) has the… CONTINUE READING

    Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv