Title

Branches of positive solutions of subcritical elliptic equations in convex domains

Document Type

Article

Department

Harvey Mudd College, 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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