In dieser Arbeit setzen wir uns mit der Ph.D. Thesis von Luis Silvestre auseinander, in welcher er das Hindernisproblem für den gebrochenen Laplace Operator behandelt hat. Das Ziel war es seine Arbeit nachzuvollziehen und seine Beweise vollständig auszuformulieren. Dabei haben wir uns auf die Existenz der Lösung und erste Regularitätsresultate beschränkt
Abstract The primary motivation of this paper is to extend the application of the reproducing-kernel...
In this paper we establish a multiplicity result for a class of unilateral, nonlinear, nonlocal prob...
Let $N\geq 2$ be an integer. For each real number $s\in(0,1)$ we denote by $(-\Delta)^s$ the corresp...
In dieser Arbeit setzen wir uns mit der Ph.D. Thesis von Luis Silvestre auseinander, in welcher er d...
Given a function ϕ and s ∈ (0, 1), we will study the solutions of the following obstacle problem: • ...
We use a characterization of the fractional Laplacian as a Dirichlet to Neumann operator for an appr...
We establish the C1+\u3b3C1+\u3b3-H\uf6lder regularity of the regular free boundary in the stationar...
We investigate the obstacle problem for a class of nonlinear equations driven by nonlocal, possibly ...
We study the singular part of the free boundary in the obstacle problem for the fractional Laplacian...
In this paper, we study an elliptic obstacle problem with a generalized fractional Laplacian and a m...
We consider an optimal rearrangement minimization problem involving the fractional Laplace operator ...
textGiven a function ϕ and s ∈ (0, 1), we will study the solutions of the following obstacle proble...
Abstract. We use a characterization of the fractional Laplacian as a Dirich-let to Neumann operator ...
We deal with the obstacle problem for a class of nonlinear integro-differential operators, whose mod...
We study the regularity of the solution to an obstacle problem for a class of integro–differential o...
Abstract The primary motivation of this paper is to extend the application of the reproducing-kernel...
In this paper we establish a multiplicity result for a class of unilateral, nonlinear, nonlocal prob...
Let $N\geq 2$ be an integer. For each real number $s\in(0,1)$ we denote by $(-\Delta)^s$ the corresp...
In dieser Arbeit setzen wir uns mit der Ph.D. Thesis von Luis Silvestre auseinander, in welcher er d...
Given a function ϕ and s ∈ (0, 1), we will study the solutions of the following obstacle problem: • ...
We use a characterization of the fractional Laplacian as a Dirichlet to Neumann operator for an appr...
We establish the C1+\u3b3C1+\u3b3-H\uf6lder regularity of the regular free boundary in the stationar...
We investigate the obstacle problem for a class of nonlinear equations driven by nonlocal, possibly ...
We study the singular part of the free boundary in the obstacle problem for the fractional Laplacian...
In this paper, we study an elliptic obstacle problem with a generalized fractional Laplacian and a m...
We consider an optimal rearrangement minimization problem involving the fractional Laplace operator ...
textGiven a function ϕ and s ∈ (0, 1), we will study the solutions of the following obstacle proble...
Abstract. We use a characterization of the fractional Laplacian as a Dirich-let to Neumann operator ...
We deal with the obstacle problem for a class of nonlinear integro-differential operators, whose mod...
We study the regularity of the solution to an obstacle problem for a class of integro–differential o...
Abstract The primary motivation of this paper is to extend the application of the reproducing-kernel...
In this paper we establish a multiplicity result for a class of unilateral, nonlinear, nonlocal prob...
Let $N\geq 2$ be an integer. For each real number $s\in(0,1)$ we denote by $(-\Delta)^s$ the corresp...