Exact multiplicity of positive solutions to a superlinear problem

We generalize previous uniqueness results on a semilinear elliptic equation with zero Dirichlet boundary condition and superlinear, subcritical nonlinearity. Our proof is based on a bifurcation approach and a Pohozaev type integral identity, which greatly simplifies the previous arguments.

Bibliographic Details
Main Author:	Junping Shi
Format:	Article
Language:	English
Published:	Texas State University 2003-02-01
Series:	Electronic Journal of Differential Equations
Subjects:	Semilinear elliptic equations exact multiplicity of solutions.
Online Access:	http://ejde.math.txstate.edu/conf-proc/10/s1/abstr.html

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spelling	doaj-732eab6864c54e458ebad23904eb7fcc2020-11-24T21:24:24ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912003-02-01Conference10257265Exact multiplicity of positive solutions to a superlinear problemJunping ShiWe generalize previous uniqueness results on a semilinear elliptic equation with zero Dirichlet boundary condition and superlinear, subcritical nonlinearity. Our proof is based on a bifurcation approach and a Pohozaev type integral identity, which greatly simplifies the previous arguments. http://ejde.math.txstate.edu/conf-proc/10/s1/abstr.htmlSemilinear elliptic equationsexact multiplicity of solutions.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Junping Shi
spellingShingle	Junping Shi Exact multiplicity of positive solutions to a superlinear problem Electronic Journal of Differential Equations Semilinear elliptic equations exact multiplicity of solutions.
author_facet	Junping Shi
author_sort	Junping Shi
title	Exact multiplicity of positive solutions to a superlinear problem
title_short	Exact multiplicity of positive solutions to a superlinear problem
title_full	Exact multiplicity of positive solutions to a superlinear problem
title_fullStr	Exact multiplicity of positive solutions to a superlinear problem
title_full_unstemmed	Exact multiplicity of positive solutions to a superlinear problem
title_sort	exact multiplicity of positive solutions to a superlinear problem
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2003-02-01
description	We generalize previous uniqueness results on a semilinear elliptic equation with zero Dirichlet boundary condition and superlinear, subcritical nonlinearity. Our proof is based on a bifurcation approach and a Pohozaev type integral identity, which greatly simplifies the previous arguments.
topic	Semilinear elliptic equations exact multiplicity of solutions.
url	http://ejde.math.txstate.edu/conf-proc/10/s1/abstr.html
work_keys_str_mv	AT junpingshi exactmultiplicityofpositivesolutionstoasuperlinearproblem
_version_	1725988510711676928

Exact multiplicity of positive solutions to a superlinear problem

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