Non-Zero Radial Solutions for Elliptic Systems with Coupled Functional BCs in Exterior Domains

We prove new results on the existence, non-existence, localization and multiplicity of non-trivial radial solutions of a system of elliptic boundary value problems on exterior domains subject to non-local, nonlinear, functional boundary conditions. Our approach relies on fixed point index theory. As...

Full description

Saved in:
Bibliographic Details
Published inProceedings of the Edinburgh Mathematical Society Vol. 62; no. 3; pp. 747 - 769
Main Authors Cianciaruso, Filomena, Infante, Gennaro, Pietramala, Paolamaria
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.08.2019
Subjects
Boundary conditions
Boundary value problems
Domains
Fixed points (mathematics)
Primary 35J66
fixed point index
34B10
elliptic system
non-trivial solution
nonlinear functional boundary conditions
Secondary 45G15
cone
Online AccessGet full text

Cover

More Information
Summary:We prove new results on the existence, non-existence, localization and multiplicity of non-trivial radial solutions of a system of elliptic boundary value problems on exterior domains subject to non-local, nonlinear, functional boundary conditions. Our approach relies on fixed point index theory. As a by-product of our theory we provide an answer to an open question posed by do Ó, Lorca, Sánchez and Ubilla. We include some examples with explicit nonlinearities in order to illustrate our theory.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0013-0915
1464-3839
DOI:10.1017/S0013091518000706