Add to ORKGAbstract. In this paper we find the optimal regularity for viscosity solutions of the pseudo infinity Laplacian. We prove that the solutions are locally Lipschitz and show an example that proves that this result is optimal. We also show existence and uniqueness for the Dirichlet problem. 1. Introduction. The main goal of this article is to study the optimal regularity of viscosity solutions to the pseudo infinity Laplacian. We find that the solutions are Lipschitz but not necessarily C1. The pseudo infinity Laplacian is the second order nonlinear operator give
We show that viscosity solutions to the normalized p(x)-Laplace equation coincide with distribution...
We consider weak solutions to a class of Dirichlet boundary value problems involving the p-Laplace o...
We develop interior W2,p,μ and W2,BMO regularity theories for Ln-viscosity solutions to fully nonlin...
In this paper we find the optimal regularity for viscosity solutions of the pseudo infinity Laplacia...
Abstract. In this paper we find the optimal regularity for viscosity solutions of the pseudo infinit...
This paper is devoted to the existence and Lipschitz regularity of viscosity solutions for a class o...
We continue our study in [24] on viscosity solutions to a one-phase free boundary problem for the ...
AbstractWe answer the much sought after question on regularity of the viscosity solution u to the Di...
In this doctoral thesis we consider a special type of degenerate elliptic partial differential equat...
We consider the pseudo-p-Laplacian, an anisotropic version of the p-Laplacian operator for p not eq...
The viscosity solutions of a nonlinear equation related to the p-Laplacian are considered. Besides t...
We consider the pseudo-p-Laplacian, an anisotropic version of the p-Laplacian operator for p 6 != 2....
Abstract. We propose a new method for showing C1,α regularity for solutions of the infinity Laplacia...
We review some recent results related to the homogeneous Dirichlet problem for the infinity Laplace ...
AbstractWe establish Lipschitz regularity for solutions to a family of non-isotropic fully nonlinear...
We show that viscosity solutions to the normalized p(x)-Laplace equation coincide with distribution...
We consider weak solutions to a class of Dirichlet boundary value problems involving the p-Laplace o...
We develop interior W2,p,μ and W2,BMO regularity theories for Ln-viscosity solutions to fully nonlin...
In this paper we find the optimal regularity for viscosity solutions of the pseudo infinity Laplacia...
Abstract. In this paper we find the optimal regularity for viscosity solutions of the pseudo infinit...
This paper is devoted to the existence and Lipschitz regularity of viscosity solutions for a class o...
We continue our study in [24] on viscosity solutions to a one-phase free boundary problem for the ...
AbstractWe answer the much sought after question on regularity of the viscosity solution u to the Di...
In this doctoral thesis we consider a special type of degenerate elliptic partial differential equat...
We consider the pseudo-p-Laplacian, an anisotropic version of the p-Laplacian operator for p not eq...
The viscosity solutions of a nonlinear equation related to the p-Laplacian are considered. Besides t...
We consider the pseudo-p-Laplacian, an anisotropic version of the p-Laplacian operator for p 6 != 2....
Abstract. We propose a new method for showing C1,α regularity for solutions of the infinity Laplacia...
We review some recent results related to the homogeneous Dirichlet problem for the infinity Laplace ...
AbstractWe establish Lipschitz regularity for solutions to a family of non-isotropic fully nonlinear...
We show that viscosity solutions to the normalized p(x)-Laplace equation coincide with distribution...
We consider weak solutions to a class of Dirichlet boundary value problems involving the p-Laplace o...
We develop interior W2,p,μ and W2,BMO regularity theories for Ln-viscosity solutions to fully nonlin...