Boundedness of Stable Solutions to Semilinear Elliptic Equations: A Survey

This article is a survey on boundedness results for stable solutions to semilinear elliptic problems.For these solutions, we present the currently known L∞${L^{\infty}}$ estimates that hold for all nonlinearities.Such estimates are known to hold up to dimension 4.They are expected to be true also in...

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Bibliographic Details
Main Author: Cabré Xavier
Format: Article
Language:English
Published: De Gruyter 2017-05-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2017-0008