Title:	S-shaped bifurcation diagrams in exterior domains
Authors:	Chhetri, Maya Drábek, Pavel Shivaji, Ratnasingham
Citation:	CHHETRI, M., DRÁBEK, P., SHIVAJI, R. S-shaped bifurcation diagrams in exterior domains. Positivity, 2019, roč. 23, č. 5, s. 1147-1164. ISSN 1385-1292.
Issue Date:	2019
Publisher:	Springer
Document type:	článek article
URI:	2-s2.0-85061924458 http://hdl.handle.net/11025/35554
ISSN:	1385-1292
Keywords in different language:	Exterior domain;Singular problem;Positive weak solution;Decay;S-shaped bifurcation diagram
Abstract in different language:	We study a nonlinear eigenvalue problem on the exterior to a simply connected bounded domain inRN containing the origin.We consider positive weak solutions satisfying Dirichlet boundary conditions on the compact boundary and decaying to zero at infinity. We discuss multiplicity and uniqueness results of solutions with respect to a bifurcation parameter and conjecture an S-shaped bifurcation diagram for positive reaction terms which are singular at the origin and sublinear at infinity. As a by-product, on regions exterior to a ball with radially symmetric weight functions, we obtain radial symmetry of solutions when uniqueness holds.
Rights:	Plný text není přístupný. © Springer
Appears in Collections:	Články / Articles (KMA) OBD

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.