Compactness results for quasilinear problems with variable exponent on the whole space

In this work we give a compactness result which allows us to prove the point-wise convergence of the gradients of a sequence of solutions to a quasilinear inequality and for an arbitrary open set. This result suggests solutions to many problems, notably nonlinear elliptic problems with critical...

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Bibliographic Details
Main Authors: Olfa Allegue, Asma Karoui Souayah
Format: Article
Language:English
Published: Texas State University 2011-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2011/90/abstr.html