Add to ORKGWe study the local behaviour of solutions of the following type of equation, -?u - V(x)u + g(u) = 0 when V is singular at some points and g is a non-decreasing function. Emphasis is put on the case when V(x) = c|x|-2 and g has a power-like growth
AbstractIn this paper we deal with semilinear elliptic problem of the form−ε2Δu+V(z)u=f(u),inR2u∈C2(...
International audienceThis paper deals with the study of ''\textit{sharp localized}'' solutions of a...
AbstractWe consider the following nonlinear problem in RN(0.1){−Δu+V(|y|)u=uN+2N−2,u>0, in RN;u∈H1(R...
We prove some existence (and sometimes also uniqueness) of weak solutions to some stationary equatio...
The main goal of this paper is to study the nature of the support of the solution of suitable nonlin...
We study the following singularly perturbed nonlocal Schrödinger equation. where V(. x) is a continu...
We consider the nonlinear Schrödinger equation associated to a singular potential of the form \ud $a...
We study the Cauchy problem associated with nonlinear Schrödinger-type equations with a nonlocal ter...
We study positive bound states for the equation -ε2 Δu + Vu = up, in ℝN, where ε > 0 is a real pa...
Presented by Haïm Brezis We consider the nonlinear Schrödinger equation associated to a singular pot...
The main goal of this paper is to study the nature of the support of the solution of suitable nonlin...
AbstractWe consider existence and asymptotic behavior of solutions for an equation of the formε2Δu−V...
We consider the following class of nonlinear elliptic equations, where q > 1 and A is a positive ...
The Schrödinger equation, an equation central to quantum mechanics, is a dispersive equation which m...
AbstractIn this paper we deal with semilinear elliptic problem of the form−ε2Δu+V(z)u=f(u),inR2u∈C2(...
International audienceThis paper deals with the study of ''\textit{sharp localized}'' solutions of a...
AbstractWe consider the following nonlinear problem in RN(0.1){−Δu+V(|y|)u=uN+2N−2,u>0, in RN;u∈H1(R...
We prove some existence (and sometimes also uniqueness) of weak solutions to some stationary equatio...
The main goal of this paper is to study the nature of the support of the solution of suitable nonlin...
We study the following singularly perturbed nonlocal Schrödinger equation. where V(. x) is a continu...
We consider the nonlinear Schrödinger equation associated to a singular potential of the form \ud $a...
We study the Cauchy problem associated with nonlinear Schrödinger-type equations with a nonlocal ter...
We study positive bound states for the equation -ε2 Δu + Vu = up, in ℝN, where ε > 0 is a real pa...
Presented by Haïm Brezis We consider the nonlinear Schrödinger equation associated to a singular pot...
The main goal of this paper is to study the nature of the support of the solution of suitable nonlin...
AbstractWe consider existence and asymptotic behavior of solutions for an equation of the formε2Δu−V...
We consider the following class of nonlinear elliptic equations, where q > 1 and A is a positive ...
The Schrödinger equation, an equation central to quantum mechanics, is a dispersive equation which m...
AbstractIn this paper we deal with semilinear elliptic problem of the form−ε2Δu+V(z)u=f(u),inR2u∈C2(...
International audienceThis paper deals with the study of ''\textit{sharp localized}'' solutions of a...
AbstractWe consider the following nonlinear problem in RN(0.1){−Δu+V(|y|)u=uN+2N−2,u>0, in RN;u∈H1(R...