Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609919 | Journal of Differential Equations | 2014 | 33 Pages |
Abstract
In line with the Concentration–Compactness Principle due to P.-L. Lions [19], we study the lack of compactness of Sobolev embedding of W1,n(Rn)W1,n(Rn), n⩾2n⩾2, into the Orlicz space LΦαLΦα determined by the Young function Φα(s)Φα(s) behaving like eα|s|n/(n−1)−1eα|s|n/(n−1)−1 as |s|→+∞|s|→+∞. In the light of this result we also study existence of ground state solutions for a class of quasilinear elliptic problems involving critical growth of the Trudinger–Moser type in the whole space RnRn.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
João Marcos do Ó, Manassés de Souza, Everaldo de Medeiros, Uberlandio Severo,