Nonlinear divergence equation with potentials vanishing in some direction at infinity: the exponential critical case
J A Cardoso,
J L Carvalho,
E S de Medeiros
Abstract:The purpose of this article is to state some weighted Sobolev embedding involving functions that vanishing only in a direction. In this setting we prove a weighted Trudinger–Moser type inequality and as an application, we addressed the existence of solutions to a class of elliptic equation of the form
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