Title

Equivalence Between Uniform L²⋆(Ω) A-Priori Bounds And Uniform L∞(Ω) A-Priori Bounds For Subcritical Elliptic Equations

Document Type

Article

Publication Date

2019

Published In

Topological Methods In Nonlinear Analysis

Abstract

We provide sufficient conditions for a uniform L²⋆(Ω) bound to imply a uniform L∞(Ω) bound for positive classical solutions to a class of subcritical elliptic problems in bounded C² domains in Rᴺ. We also establish an equivalent result for sequences of boundary value problems.

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