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- W2032541036 abstract "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 corresponding critical growth, V ( x ) is a continuous potential, h ∈ ( L Φ ( R n ) ) ∗ is a nontrivial continuous function and μ > 0 is a small parameter." @default.
- W2032541036 created "2016-06-24" @default.
- W2032541036 creator A5055962361 @default.
- W2032541036 date "2011-07-01" @default.
- W2032541036 modified "2023-10-16" @default.
- W2032541036 title "Generalized -Laplacian: Quasilinear nonhomogenous problem with critical growth" @default.
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- W2032541036 doi "https://doi.org/10.1016/j.na.2011.03.002" @default.
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