Some results about semilinear elliptic problems on half-spaces

We prove some new results about the growth, the monotonicity and the symmetry of (possibly) unbounded non-negative solutions of −∆u = f (u) on half-spaces, where f is merely a locally Lipschitz continuous function. Our proofs are based on a comparison principle for solutions of semilinear problems o...

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Bibliographic Details
Main Author: Alberto Farina
Format: Article
Language:English
Published: AIMS Press 2020-10-01
Series:Mathematics in Engineering
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/mine.2020033/fulltext.html