Add to ORKGAbstract. We study nonlinear elliptic equations of the form F (D2u) = f(u) where the main assumption on F and f is that there exists a one dimensional solution which solves the equation in all the directions ξ ∈ Rn. We show that entire monotone solutions u are one dimensional if their 0 level set is assumed to be Lipschitz, flat or bounded from one side by a hyperplane. 1
In this paper we consider fully nonlinear elliptic operators of the form F(x, u, Du, D(2)u). Our aim...
We consider entire solutions to $L u= f(u)$ in $R^2$, where $L$ is a general nonlocal operator with ...
This paper studies a conjecture made by E. De Giorgi in 1978 concerning the one-dimensional characte...
The paper deals with the existence of entire solutions for a quasilinear equation (Eλ) in RN, depen...
This article presents some qualitative results for solutions of the fully nonlinear elliptic equatio...
In this note we study quasimonotone systems of fully nonlinear equations, in the form H1(D 2u1, Du1...
Solutions of fully nonlinear elliptic equations with patches of zero gradient: Existence, regularit...
AbstractWe present an explicit monotone scheme for solving boundary value problems for fully nonline...
In this paper we establish a Liouville type theorem for fully nonlinear elliptic equations related t...
Abstract. We consider existence of entire solutions of a semilinear elliptic equation ∆u = k(x)f(u) ...
The aim of the talk is to discuss some recent results on structure conditions which allow solutions ...
AbstractWe prove the interior C2,α regularity of solutions for some nonconvex fully nonlinear ellipt...
Via nonsmooth critical point theory we obtain the existence of positive entire solutions of a class ...
We prove the interior C2,α regularity of solutions for some nonconvex fully nonlinear elliptic equat...
The paper highlighted some class of anisotropic elliptic equations of second order in divergence for...
In this paper we consider fully nonlinear elliptic operators of the form F(x, u, Du, D(2)u). Our aim...
We consider entire solutions to $L u= f(u)$ in $R^2$, where $L$ is a general nonlocal operator with ...
This paper studies a conjecture made by E. De Giorgi in 1978 concerning the one-dimensional characte...
The paper deals with the existence of entire solutions for a quasilinear equation (Eλ) in RN, depen...
This article presents some qualitative results for solutions of the fully nonlinear elliptic equatio...
In this note we study quasimonotone systems of fully nonlinear equations, in the form H1(D 2u1, Du1...
Solutions of fully nonlinear elliptic equations with patches of zero gradient: Existence, regularit...
AbstractWe present an explicit monotone scheme for solving boundary value problems for fully nonline...
In this paper we establish a Liouville type theorem for fully nonlinear elliptic equations related t...
Abstract. We consider existence of entire solutions of a semilinear elliptic equation ∆u = k(x)f(u) ...
The aim of the talk is to discuss some recent results on structure conditions which allow solutions ...
AbstractWe prove the interior C2,α regularity of solutions for some nonconvex fully nonlinear ellipt...
Via nonsmooth critical point theory we obtain the existence of positive entire solutions of a class ...
We prove the interior C2,α regularity of solutions for some nonconvex fully nonlinear elliptic equat...
The paper highlighted some class of anisotropic elliptic equations of second order in divergence for...
In this paper we consider fully nonlinear elliptic operators of the form F(x, u, Du, D(2)u). Our aim...
We consider entire solutions to $L u= f(u)$ in $R^2$, where $L$ is a general nonlocal operator with ...
This paper studies a conjecture made by E. De Giorgi in 1978 concerning the one-dimensional characte...