Existence and multiplicity of positive solutions for Dirichlet problems in unbounded domains.
Wu, Tsung-Fang (2007)
Abstract and Applied Analysis
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Wu, Tsung-Fang (2007)
Abstract and Applied Analysis
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Doboş, Gheorghe (2003)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Chen, Kuan-Ju (2009)
Boundary Value Problems [electronic only]
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Colin, Fabrice (2010)
Boundary Value Problems [electronic only]
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Elliot Tonkes (1999)
Commentationes Mathematicae Universitatis Carolinae
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The aim of this paper is to study the existence of variational solutions to a nonhomogeneous elliptic equation involving the -Laplacian where , is a bounded smooth domain in , , is a critical nonlinearity in the sense of the Trudinger-Moser inequality and is a small perturbation.
Olek, Anna, Szczepania, Kuba (2003)
Annales Academiae Scientiarum Fennicae. Mathematica
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Pao, C.V. (2005)
Advances in Difference Equations [electronic only]
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El Hamidi, Abdallah (2004)
International Journal of Mathematics and Mathematical Sciences
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Jacques Audounet, Jean-Michel Roquejoffre, Hélène Rouzaud (2002)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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This article is devoted to the numerical study of a flame ball model, derived by Joulin, which obeys to a singular integro-differential equation. The numerical scheme that we analyze here, is based upon a one step method, and we are interested in its long-time behaviour. We recover the same dynamics as in the continuous case: quenching, or stabilization of the flame, depending on heat losses, and an energy input parameter.