Journal ArticleDOI
Nonlinear eigenvalue problems with nonlocal operators
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This article is published in Communications on Pure and Applied Mathematics.The article was published on 1970-11-01. It has received 12 citations till now. The article focuses on the topics: Nonlinear system & Eigenvalues and eigenvectors.read more
Citations
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Journal ArticleDOI
Some global results for nonlinear eigenvalue problems
TL;DR: In this paper, the structure of the solution set for a large class of nonlinear eigenvalue problems in a Banach space is investigated, and the existence of continua, i.e., closed connected sets, of solutions of these equations is demonstrated.
Journal ArticleDOI
Nonlinear sturm‐lionville problems for second order ordinary differential equations
Book ChapterDOI
A Global Theorem for Nonlinear Eigenvalue Problems and Applications
TL;DR: In this paper, a nonlinear extension of a linear Strum-Liouville theorem for second order ordinary differential equations is presented where nodal properties play an important role, and existence results for positive solutions of quasi-linear elliptic partial differential equations are also obtained.
Journal ArticleDOI
The influence of elasticity on analysis: Modern developments
TL;DR: The authors examine plusieurs domaines de l'analyse auxquels l'elasticite a apporte une contribution importante: questions de connectivite de la theorie globale des bifurcations; particularites de LDA non lineaire; calcul des variations; convergence faible; inegalites variationnelles; autres contributions
References
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Book
Elements of the topology of plane sets of points
TL;DR: This book provides an elementary introduction to the ideas and methods of topology by the detailed study of certain topics by the elegant but rigorous proofs of many of the basic theorems.
Journal ArticleDOI
Nonlinear sturm‐lionville problems for second order ordinary differential equations
Journal ArticleDOI
Singular points of functional equations
TL;DR: In this paper, the authors consider the problem of branching of the solutions in the neighborhood of a given solution for a very general type of nonlinear integral equations and obtain results exactly parallel to some for ordinary algebraic functions over the real or complex field.