Motivated by a problem arising in astrophysics we study a nonlinear elliptic equation in $\mathbb{R}^{N}$ with cylindrical symmetry and with singularities on a whole subspace of $\mathbb{R}^{N}$. We study the problem in a variational framework and, as the nonlinearity also displays a critical behavior, we use some suitable version of the Concentration-Compactness Principle. We obtain several results on existence and nonexistence of solutions
We study existence and asymptotic properties of solutions to a semilinear elliptic equation in the w...
The book is dedicated to the study of elliptic problems when lack of compactness occurs. This resear...
The paper deals with the existence of positive solutions of the problem - Delta u = u(p) in Omega, u...
Motivated by a problem arising in astrophysics we study a nonlinear elliptic equation in RN with cyl...
We study the existence of solutions to a semi-linear elliptic equation in the whole space. The equat...
We prove some existence and non-existence results for a nonlinear elliptic equation involving cylind...
In this paper we study the existence of concentrated solutions of the nonlinear field equation $$ -h...
Key words andphrases: Concentration-compactness principle, critical Sobolev exponent, symmetric and ...
A semilinear elliptic problem containing both a singularity and a critical growth term is considered...
Abstract. This paper deals with a class of nonlinear elliptic equations involving a critical power-n...
International audienceWe study the asymptotic behavior as ε goes to zero of solutions in H^1_0(Ω ) t...
AbstractWe study properties of solutions with isolated singularities to general conformally invarian...
AbstractWe consider the following nonlinear Schrödinger equations in Rn{ε2Δu−V(r)u+up=0in Rn;u>0in R...
We study compactness properties for solutions of a semilinear elliptic equation with critical nonlin...
In the present paper, an elliptic equation with singular cylindrical growth is considered. By using ...
We study existence and asymptotic properties of solutions to a semilinear elliptic equation in the w...
The book is dedicated to the study of elliptic problems when lack of compactness occurs. This resear...
The paper deals with the existence of positive solutions of the problem - Delta u = u(p) in Omega, u...
Motivated by a problem arising in astrophysics we study a nonlinear elliptic equation in RN with cyl...
We study the existence of solutions to a semi-linear elliptic equation in the whole space. The equat...
We prove some existence and non-existence results for a nonlinear elliptic equation involving cylind...
In this paper we study the existence of concentrated solutions of the nonlinear field equation $$ -h...
Key words andphrases: Concentration-compactness principle, critical Sobolev exponent, symmetric and ...
A semilinear elliptic problem containing both a singularity and a critical growth term is considered...
Abstract. This paper deals with a class of nonlinear elliptic equations involving a critical power-n...
International audienceWe study the asymptotic behavior as ε goes to zero of solutions in H^1_0(Ω ) t...
AbstractWe study properties of solutions with isolated singularities to general conformally invarian...
AbstractWe consider the following nonlinear Schrödinger equations in Rn{ε2Δu−V(r)u+up=0in Rn;u>0in R...
We study compactness properties for solutions of a semilinear elliptic equation with critical nonlin...
In the present paper, an elliptic equation with singular cylindrical growth is considered. By using ...
We study existence and asymptotic properties of solutions to a semilinear elliptic equation in the w...
The book is dedicated to the study of elliptic problems when lack of compactness occurs. This resear...
The paper deals with the existence of positive solutions of the problem - Delta u = u(p) in Omega, u...