Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900244 | Journal of Mathematical Analysis and Applications | 2018 | 16 Pages |
Abstract
This paper discusses the Keller-Osserman condition from a dynamical perspective in order to obtain a rather astonishing multiplicity result of large solutions. It turns out that, for any given increasing positive function f(u) that satisfies the Keller-Osserman condition, destroying the monotonicity of f(u) on a compact set with arbitrarily small measure can originate an arbitrarily large number of explosive solutions. Moreover, some counterexamples to an important result of [6] are given.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Julián López-Gómez, Luis Maire,