In this paper, using the method of moving planes, we study the monotonicity in some directions and symmetry of the Dirichlet problem involving the fractional Laplacian −Δα/2ux=fux,x∈Ω,ux>0,x∈Ω,ux=0,x∈ℝn\Ω, in a slab-like domain Ω=ℝn−1×0,h⊂ℝn
We use bifurcation theory to establish the existence of connected set of solutions of a fractional L...
Abstract. In this paper we prove the Pohozaev identity for the semilinear Dirich-let problem (−∆)su ...
Our concern is the computation of optimal shapes in problems involving (−Δ)1/2. We focus...
In this paper, we develop a direct method of moving planes in unbounded domains for the fractional p...
International audienceWe consider nonnegative solutions to -Delta u = f(u) in half-planes and strips...
In this paper, we study a nonlinear system involving the fractional p-Laplacian in a unit ball and e...
In this paper, we consider the following nonlinear system involving the fractional Laplacian \begin{...
We establish a symmetry result for a non-autonomous overdetermined problem associated to a sublinear...
AbstractIn this article, we apply the improved “moving plane” method to prove the symmetry of the so...
International audienceThis paper, which is the follow-up to part I, concerns the equation $(-\Delta)...
Abstract. In this paper we prove the Pohozaev identity for the semilinear Dirich-let problem (−∆)su ...
We deal with symmetry properties for solutions of nonlocal equations of the type(- \u394)s v = f (v)...
We study the regularity up to the boundary of solutions to the Dirichlet problem for the fractional ...
In this paper we prove the Pohozaev identity for the semilinear Dirichlet problem (-Delta)(s) u = f(...
This paper, which is the follow-up to part I, concerns the equation (-Delta)(s)v + G'(v) = 0 in R-n,...
We use bifurcation theory to establish the existence of connected set of solutions of a fractional L...
Abstract. In this paper we prove the Pohozaev identity for the semilinear Dirich-let problem (−∆)su ...
Our concern is the computation of optimal shapes in problems involving (−Δ)1/2. We focus...
In this paper, we develop a direct method of moving planes in unbounded domains for the fractional p...
International audienceWe consider nonnegative solutions to -Delta u = f(u) in half-planes and strips...
In this paper, we study a nonlinear system involving the fractional p-Laplacian in a unit ball and e...
In this paper, we consider the following nonlinear system involving the fractional Laplacian \begin{...
We establish a symmetry result for a non-autonomous overdetermined problem associated to a sublinear...
AbstractIn this article, we apply the improved “moving plane” method to prove the symmetry of the so...
International audienceThis paper, which is the follow-up to part I, concerns the equation $(-\Delta)...
Abstract. In this paper we prove the Pohozaev identity for the semilinear Dirich-let problem (−∆)su ...
We deal with symmetry properties for solutions of nonlocal equations of the type(- \u394)s v = f (v)...
We study the regularity up to the boundary of solutions to the Dirichlet problem for the fractional ...
In this paper we prove the Pohozaev identity for the semilinear Dirichlet problem (-Delta)(s) u = f(...
This paper, which is the follow-up to part I, concerns the equation (-Delta)(s)v + G'(v) = 0 in R-n,...
We use bifurcation theory to establish the existence of connected set of solutions of a fractional L...
Abstract. In this paper we prove the Pohozaev identity for the semilinear Dirich-let problem (−∆)su ...
Our concern is the computation of optimal shapes in problems involving (−Δ)1/2. We focus...
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