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6 papers · 2 filters
Boundary singularities of solutions of semilinear elliptic equations with critical Hardy potentials
Konstantinos T. Gkikas, Laurent Veron
We study the boundary behaviour of the of (E) $-\Gd u-\myfrac{\xk }{d^2(x)}u+g(u)=0$, where $0<\xk <\frac{1}{4}$ and is a continuous nonndecreasing function in a bounded convex…
Improvement of the energy method for strongly non resonant dispersive equations and applications
Luc Molinet, Stéphane Vento
In this paper we propose a new approach to prove the local well-posedness of the Cauchy problem associated with strongly non resonant dispersive equations. As an example we obtain…
Global behavior of N competing species with strong diffusion: diffusion leads to exclusion
François Castella, Sten Madec, Yvan Lagadeuc
It is known that the competitive exclusion principle holds for a large kind of models involving several species competing for a single resource in an homogeneous environment. Vario…
Hollow vortices and minimal surfaces
Martin Traizet
We consider an overdetermined elliptic problem known as the hollow vortex problem. We prove that the solutions to this problem are in 1:1 correspondence with minimal graphs bounded…
Wiener criteria for existence of large solutions of nonlinear parabolic equations with absorption in a non-cylindrical domain
Quoc-Hung Nguyen, Laurent Veron
We obtain a necessary and a sufficient condition expressed in terms of Wiener type tests involving the parabolic - capacity, where , for the existe…
Regularity Results and Large Time Behavior for Integro-Differential Equations with Coercive Hamiltonians
Guy Barles, Shigeaki Koike, Olivier Ley +1
In this paper we obtain regularity results for elliptic integro-differential equations driven by the stronger effect of coercive gradient terms. This feature allows us to construct…