The concentration-compactness principle for variable exponent spaces and applications
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🧮 math.AP
keywords
applicationsexponentprinciplevariablecasecompactnessconcentrationconcentration-compactness
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In this paper we extend the well-known concentration -- compactness principle of P.L. Lions to the variable exponent case. We also give some applications to the existence problem for the $p(x)-$Laplacian with critical growth.
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