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Si studia la perturbazione dello spettro deiroperatore $-\Delta+|x|^{2}$ dovuta all'introduzione di un potenziale singolare non polinomiale e si prova che la serie perturbativa del primo autovalore di tale operatore è sommabile secondo Borel.

Singular Perturbation Analysis of Travelling Waves for a Model in Phytopathology

J. B. Burie, A. Calonnec, A. Ducrot (2010)

Mathematical Modelling of Natural Phenomena

We investigate the structure of travelling waves for a model of a fungal disease propagating over a vineyard. This model is based on a set of ODEs of the SIR-type coupled with two reaction-diffusion equations describing the dispersal of the spores produced by the fungus inside and over the vineyard. An estimate of the biological parameters in the model suggests to use a singular perturbation analysis. It allows us to compute the speed and the profile of the travelling waves. The analytical results...

Solutions to a perturbed critical semilinear equation concerning the $N$ -Laplacian in $ℝ^{N}$

Elliot Tonkes (1999)

Commentationes Mathematicae Universitatis Carolinae

The aim of this paper is to study the existence of variational solutions to a nonhomogeneous elliptic equation involving the $N$ -Laplacian $- Δ_{N} u \equiv - {div (| \nabla u |}^{N - 2} \nabla u) = e (x, u) + h (x) in Ω$ where $u \in W_{0}^{1, N} (ℝ^{N})$ , $Ω$ is a bounded smooth domain in $ℝ^{N}$ , $N \geq 2$ , $e (x, u)$ is a critical nonlinearity in the sense of the Trudinger-Moser inequality and $h (x) \in {(W_{0}^{1, N})}^{*}$ is a small perturbation.

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Phase de diffusion pour des perturbations captives

Potential Scattering in a Homogeneous Electrostatic Field.

Problème de la glace pilée

Problèmes de convergence dans certaines EDP non linéaires et applications géométriques

Problèmes d'écrans perforés pour l'équation de Laplace

Puits multiples (d'après des travaux avec B. Helffer)

Puits multiples pour l'opérateur de Dirac

Random and deterministic perturbations of nonlinear oscillators.

Remarks on the Klein-Gordon equation

Resonances generated by analytic singularities on the density of states measure for perturbed periodic Schrödinger operators.

Robin type conditions arising from concentrated potentials

Second order nonpersistence of the sine Gordon breather under an exceptional perturbation

Separation theorem with respect to sub-topical functions and abstract convexity.

Singular non polynomial perturbations of $-\Delta+|x|^{2}$

Singular Perturbation Analysis of Travelling Waves for a Model in Phytopathology

Solutions to a perturbed critical semilinear equation concerning the $N$ -Laplacian in $ℝ^{N}$

Some results in viscoelasticity theory via a simple perturbation argument

Stability results for obstacle problems with measure data

Störungstheoretische Regularitätsuntersuchungen.

Superlinear elliptic equations

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