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19932026
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Showing 2018 · math.APShow all

10 papers · 2 filters

math.AP2018★ 10 cited

Existence and nonexistence results for a weighted elliptic equation in exterior domains

Zongming Guo, Xia Huang, Dong Ye

We consider positive solution to the weighted elliptic problem \begin{equation*} \left \{ \begin{array}{ll} -{\rm div} (|x|^θ\nabla u)=|x|^\ell u^p \;\;\; \mbox{in $\mathbb{R}^N \b…

math.AP2018★ 5 cited

The strong Legendre condition and the well-posedness of mixed Robin problems on manifolds with bounded geometry

Bernd Ammann, Nadine Große, Victor Nistor

Let be a smooth manifold with boundary and bounded geometry, be an open and closed subset, be a second order differential ope…

math.AP2018

When fast diffusion and reactive growth both induce accelerating invasions

Matthieu Alfaro, Thomas Giletti

We focus on the spreading properties of solutions of monostable equations with fast diffusion. The nonlinear reaction term involves a weak Allee effect, which tends to slow down th…

math.AP2018

A Borg-Levinson theorem for magnetic Schrödinger operators on a Riemannian manifold

Mourad Bellassoued, Mourad Choulli, Dos Santos Ferreira +2

This article is concerned with uniqueness and stability issues for the inverse spectral problem of recovering the magnetic field and the electric potential in a Riemannian manifold…

math.AP2018

Global variational solutions to a class of fractional spde's on unbounded domains

Marco Dozzi, Rim Touibi, Pierre-A Vuillermot

In this article we prove new results regarding the existence and the uniqueness of global variational solutions to Neumann initial-boundary value problems for a class of non-autono…

math.AP2018

The Hardy--Schrödinger Operator on the Poincaré Ball: Compactness and Multiplicity

Nassif Ghoussoub, Saikat Mazumdar, Frédéric Robert

Let be a compact smooth domain containing zero in the Poincaré ball model of the Hyperbolic space () and let be the Laplace-Bel…

math.AP2018

Calderón cavities inverse problem as a shape-from-moments problem

Alexandre Munnier, Karim Ramdani

In this paper, we address a particular case of Calderón's (or conductivity) inverse problem in dimension two, namely the case of a homogeneous background containing a finite number…

math.AP2018★ 10 cited

Liouville theorems for stable at infinity solutions of Lane-Emden system

Foued Mtiri, Dong Ye

We consider the Lane-Emden system , in , and we prove the nonexistence of smooth positive solutions which are stable outside a compact set, for…

math.AP2018★ 19 cited

Exhaustive existence and non-existence results for some prototype polyharmonic equations in the whole space

Quôc Anh Ngô, Van Hoang Nguyen, Quoc Hung Phan +1

In this paper, we are interested in entire, non-trivial, non-negative solutions and/or entire, positive solutions to the simplest models of polyharmonic equations with power-type n…

math.AP2018★ 1 cited

Examples of sharp asymptotic profiles of singular solutions to an elliptic equation with a sign-changing non-linearity

Florica C. Cîrstea, Frédéric Robert, Jérôme Vétois

The first two authors [Proc. Lond. Math. Soc. (3) {\bf 114}(1):1--34, 2017] classified the behaviour near zero for all positive solutions of the perturbed elliptic equation with a…