Branches of positive solutions of subcritical elliptic equations in convex domains

Document Type

Article

Department

Mathematics (HMC)

Publication Date

2015

Abstract

We provide conditions for the existence of L1 a priori estimates for positive solutions to a class of subcritical elliptic equations in bounded C2 convex domains. These conditions widen the range of nonlinearities for which a priori bounds are known. Using these a priori bounds we prove the existence of positive solutions for a class of problems depending on a parameter

Rights Information

© 2015, American Institute of Mathematical Sciences

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