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- W2116716821 abstract "This paper deals with an improvement of a class of the Trudinger-Moser inequality with a singular weight associated to the embedding of the standard Sobolev space H10(Ω) into Orlicz spaces for any smooth domain , in particular for . As an application of this result, using the Ekeland variational principle and the mountain-pass theorem we establish sufficient conditions for the existence and multiplicity of weak solutions for the following class of problems where a ∈ [0, 2), V(x) is a continuous positive potential bounded away from zero and which can be “large” at the infinity, the nonlinearity f(s) behaves like when |s| +∞ and is a small perturbation. © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim" @default.
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- W2116716821 date "2011-08-09" @default.
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- W2116716821 title "On a class of singular Trudinger-Moser type inequalities and its applications" @default.
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- W2116716821 doi "https://doi.org/10.1002/mana.201000083" @default.
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