On positive solutions for some semilinear periodic parabolic eigenvalue problems.
type: Item
instance of: scholarly article
title: On positive solutions for some semilinear periodic parabolic eigenvalue problems.
zbMATH Open document ID: 1091.35036
DOI: 10.1016/S0022-247X(02)00527-9
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-04-09T00:00:00Z
review text: Let \(\Omega\) be a bounded domain in \(\mathbb R^N\), \(N\geq2\). Consider positive \(T\)-periodic solutions of the problem \(Lu=\lambda g(x,t,u)\) in \(\Omega\times\mathbb R\), \(u=0\) on \(\partial\Omega\times\mathbb R\), where \(L\) is a linear parabolic operator and \(g\) is \(T\)-periodic in \(t\). Denote \(G(x,t,\xi)=g(x,t,\xi)/\xi\) and assume that \(G\) is nonincreasing in \(\xi\) and \(\int_0^T\text{ess}\,\)sup
reviewed by: Pavol Quittner
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 35D05
Mathematics Subject Classification ID: 47J10
zbMATH DE Number: 1895748
zbMATH Keywords: periodic parabolic eigenvalue problem
zbMATH Keywords: bifurcation
zbMATH Keywords: positive solution
zbMATH Keywords: principal eigenvalue
author: T. Godoy
author: U. Kaufmann
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1895748