A priori estimates for global solutions and multiple equilibria of a superlinear parabolic problem involving measures

We consider a noncoercive elliptic problem in a bounded domain with a power nonlinearity and measure data. It is known that the problem possesses a stable solution and we prove existence of three further solutions. The proof is based on uniform bounds of global solutions of the corresponding parabol...

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Bibliographic Details
Main Author:	Pavol Quittner
Format:	Article
Language:	English
Published:	Texas State University 2001-05-01
Series:	Electronic Journal of Differential Equations
Subjects:	superlinear parabolic equation semilinear elliptic equation multiplicity singular solutions.
Online Access:	http://ejde.math.txstate.edu/Volumes/2001/29/abstr.html

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spelling	doaj-e4d5d73140ce4e2e8b05637c0151d2922020-11-25T01:14:43ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912001-05-01200129117A priori estimates for global solutions and multiple equilibria of a superlinear parabolic problem involving measuresPavol QuittnerWe consider a noncoercive elliptic problem in a bounded domain with a power nonlinearity and measure data. It is known that the problem possesses a stable solution and we prove existence of three further solutions. The proof is based on uniform bounds of global solutions of the corresponding parabolic problem and on a topological degree argument. http://ejde.math.txstate.edu/Volumes/2001/29/abstr.htmlsuperlinear parabolic equationsemilinear elliptic equationmultiplicitysingular solutions.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Pavol Quittner
spellingShingle	Pavol Quittner A priori estimates for global solutions and multiple equilibria of a superlinear parabolic problem involving measures Electronic Journal of Differential Equations superlinear parabolic equation semilinear elliptic equation multiplicity singular solutions.
author_facet	Pavol Quittner
author_sort	Pavol Quittner
title	A priori estimates for global solutions and multiple equilibria of a superlinear parabolic problem involving measures
title_short	A priori estimates for global solutions and multiple equilibria of a superlinear parabolic problem involving measures
title_full	A priori estimates for global solutions and multiple equilibria of a superlinear parabolic problem involving measures
title_fullStr	A priori estimates for global solutions and multiple equilibria of a superlinear parabolic problem involving measures
title_full_unstemmed	A priori estimates for global solutions and multiple equilibria of a superlinear parabolic problem involving measures
title_sort	priori estimates for global solutions and multiple equilibria of a superlinear parabolic problem involving measures
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2001-05-01
description	We consider a noncoercive elliptic problem in a bounded domain with a power nonlinearity and measure data. It is known that the problem possesses a stable solution and we prove existence of three further solutions. The proof is based on uniform bounds of global solutions of the corresponding parabolic problem and on a topological degree argument.
topic	superlinear parabolic equation semilinear elliptic equation multiplicity singular solutions.
url	http://ejde.math.txstate.edu/Volumes/2001/29/abstr.html
work_keys_str_mv	AT pavolquittner aprioriestimatesforglobalsolutionsandmultipleequilibriaofasuperlinearparabolicprobleminvolvingmeasures AT pavolquittner prioriestimatesforglobalsolutionsandmultipleequilibriaofasuperlinearparabolicprobleminvolvingmeasures
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A priori estimates for global solutions and multiple equilibria of a superlinear parabolic problem involving measures

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