Add to ORKGUsing the Caffarelli--Silvestre extension, we show for a general open set $\Om\subset\R^n$ that a boundary point $x_0$ is regular for the fractional Laplace equation $(-\Delta)^su=0$, $0<s<1$, if and only if $(x_0,0)$ is regular for the extended weighted equation in a subset of $\R^{n+1}$. As a consequence, we characterize regular boundary points for $(-\Delta)^su=0$ by a Wiener criterion involving a Besov capacity. A decay estimate for the solutions near regular boundary points and the Kellogg property are also obtained
We study the Brezis\u2013Nirenberg effect in two families of noncompact boundary value problems invo...
summary:Let $u$ be a weak solution of a quasilinear elliptic equation of the growth $p$ with a measu...
AbstractIn this paper we give some geometric criteria (analogous to Wiener's, Poincaré's and Zaremba...
The primary purpose of this paper is to study the Wiener-type regularity criteria for non-linear equ...
Abstract. We study the regularity up to the boundary of solutions to the Dirich-let problem for the ...
We prove Besov regularity estimates for the solution of the Dirichlet problem involving the integral...
We study the regularity up to the boundary of solutions to the Dirichlet problem for the fractional ...
In this note we review some recent results in [64, 95, 96] concerning necessary and sufficient condi...
International audienceWe present a construction of harmonic functions on bounded domains for the spe...
We consider a boundary value problem driven by the p-fractional Laplacian with nonlocal Robin bounda...
We look for solutions of (-) s u + f (u) = 0 s u+f(u)=0 in a bounded smooth domain Ω, s ϵ (0,1) sin(...
In this note we review some recent results in [64, 95, 96] concerning necessary and sufficient cond...
We study the boundary regularity of solutions to the porous medium equation $u_t=\Delta u^m$ in t...
We establish a necessary and sufficient condition for a boundary point to be regular for the Dirichl...
This paper presents regularity results and associated high order numerical methods for one-dimension...
We study the Brezis\u2013Nirenberg effect in two families of noncompact boundary value problems invo...
summary:Let $u$ be a weak solution of a quasilinear elliptic equation of the growth $p$ with a measu...
AbstractIn this paper we give some geometric criteria (analogous to Wiener's, Poincaré's and Zaremba...
The primary purpose of this paper is to study the Wiener-type regularity criteria for non-linear equ...
Abstract. We study the regularity up to the boundary of solutions to the Dirich-let problem for the ...
We prove Besov regularity estimates for the solution of the Dirichlet problem involving the integral...
We study the regularity up to the boundary of solutions to the Dirichlet problem for the fractional ...
In this note we review some recent results in [64, 95, 96] concerning necessary and sufficient condi...
International audienceWe present a construction of harmonic functions on bounded domains for the spe...
We consider a boundary value problem driven by the p-fractional Laplacian with nonlocal Robin bounda...
We look for solutions of (-) s u + f (u) = 0 s u+f(u)=0 in a bounded smooth domain Ω, s ϵ (0,1) sin(...
In this note we review some recent results in [64, 95, 96] concerning necessary and sufficient cond...
We study the boundary regularity of solutions to the porous medium equation $u_t=\Delta u^m$ in t...
We establish a necessary and sufficient condition for a boundary point to be regular for the Dirichl...
This paper presents regularity results and associated high order numerical methods for one-dimension...
We study the Brezis\u2013Nirenberg effect in two families of noncompact boundary value problems invo...
summary:Let $u$ be a weak solution of a quasilinear elliptic equation of the growth $p$ with a measu...
AbstractIn this paper we give some geometric criteria (analogous to Wiener's, Poincaré's and Zaremba...