First variations of principal eigenvalues with respect to the domain and point-wise growth of positive solutions for problems where bifurcation from infinity occurs
type: Item
instance of: scholarly article
title: First variations of principal eigenvalues with respect to the domain and point-wise growth of positive solutions for problems where bifurcation from infinity occurs
zbMATH Open document ID: 0915.35080
published in: Journal of Differential Equations
publication date: 1998-10-18T00:00:00Z
review text: The authors report results on the first variation of the principle eigenvalue for a nonlinear eigenvalue problem associated to a sublinear elliptic boundary value problem stemming from holomorphic perturbations of the boundary. This analysis is used to establish the pointwise growth to infinity of the positive solutions of a class of sublinear elliptic boundary value problems with vanishing coefficients at the value of the parameter where bifurcation from infinity occurs.
Mathematics Subject Classification ID: 35P30
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B32
zbMATH DE Number: 1212355
zbMATH Keywords: sublinear elliptic boundary value problem
zbMATH Keywords: holomorphic perturbations of the boundary
author: Julián López-Gómez
author: José C. Sabina de Lis
reviewed by: Nikolai L. Vulchanov
MaRDI profile type: Publication
full work available at URL: jdeq.1998.3456
OpenAlex ID: W2078938099
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DOI: 10.1006/JDEQ.1998.3456
description: scientific article; zbMATH DE number 1212355