10 citations · 22 across the 18 of their papers we have counts for
37 papers
Decay of extremals of Morrey's inequality
Ryan Hynd, Simon Larson, Erik Lindgren
We study the decay (at infinity) of extremals of Morrey's inequality in . These are functions satisfying $$ \displaystyle \sup_{x\neq y}\frac{|u(x)-u(y)|}{|x-y|^{1-\f…
The Infinity-Laplacian in Smooth Convex Domains and in a Square
Karl K. Brustad, Erik Lindgren, Peter Lindqvist
We extend some theorems for the Infinity-Ground State and for the Infinity-Potential, known for convex polygons, to other domains in the plane, by applying Alexandroff's method to…
Finite difference schemes for the parabolic -Laplace equation
Félix del Teso, Erik Lindgren
We propose a new finite difference scheme for the degenerate parabolic equation \[ \partial_t u - \mbox{div}(|\nabla u|^{p-2}\nabla u) =f, \quad p\geq 2. \] Under the assumption th…
Higher Hölder regularity for mixed local and nonlocal degenerate elliptic equations
Prashanta Garain, Erik Lindgren
We consider equations involving a combination of local and nonlocal degenerate -Laplace operators. The main contribution of the paper is almost Lipschitz regularity for the homo…
Large time behavior for a nonlocal nonlinear gradient flow
Feng Li, Erik Lindgren
We study the large time behavior of the nonlinear and nonlocal equation where , and $$ (-Δ_p)^s v\, (x,t)=2 \,\te…
Uniqueness of extremals for some sharp Poincaré-Sobolev constants
Lorenzo Brasco, Erik Lindgren
We study the sharp constant for the embedding of into , in the case . We prove that for smooth connected sets, when and is sufficiently clos…