Displaying similar documents to “On the concentration of solutions of singularly perturbed Hamiltonian systems in N .”

Solutions to a perturbed critical semilinear equation concerning the N -Laplacian in N

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 N -Laplacian - Δ N u - div ( | u | N - 2 u ) = e ( x , u ) + h ( x ) in Ω where u W 0 1 , N ( N ) , Ω is a bounded smooth domain in N , N 2 , e ( x , u ) is a critical nonlinearity in the sense of the Trudinger-Moser inequality and h ( x ) ( W 0 1 , N ) * is a small perturbation.

Numerical simulation of a point-source initiated flame ball with heat losses

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.