5 citations · 8 across the 9 of their papers we have counts for
21 papers · 1 filter
Short time existence and smoothness of the nonlocal mean curvature flow of graphs
Anoumou Attiogbe, Mouahmed Moustapha Fall, Tobias Weth
We consider the geometric evolution problem of entire graphs moving by fractional mean curvature. For this, we study the associated nonlocal quasilinear evolution equation satisfie…
Symmetry properties of sign-changing solutions to nonlinear parabolic equations in unbounded domains
Juraj Földes, Alberto Saldaña, Tobias Weth
We study the asymptotic (in time) behavior of positive and sign-changing solutions to nonlinear parabolic problems in the whole space or in the exterior of a ball with Dirichlet bo…
Small order asymptotics of the Dirichlet eigenvalue problem for the fractional Laplacian
Pierre Aime Feulefack, Sven Jarohs, Tobias Weth
In this article, we study the asymptotics of Dirichlet eigenvalues and eigenfunctions of the fractional Laplacian in bounded open Lipschitz sets in the small order limit $…
The Poisson problem for the fractional Hardy operator: Distributional identities and singular solutions
Huyuan Chen, Tobias Weth
The purpose of this paper is to study and classify singular solutions of the Poisson problem $$ %\begin{equation}\label{eq 0.1} \left \{ \begin{aligned} {\mathcal L}^s_μu = f \quad…
The nonlinear Schrödinger equation in the half-space
Antonio J. Fernández, Tobias Weth
The present paper is concerned with the half-space Dirichlet problem \begin{equation} \tag{} \label{problem-abstract} -Δv + v = |v|^{p-1}v,\ \mbox{ in } \mathbb{R}^N_{+}, \qqu…
Fourier-extension estimates for symmetric functions and applications to nonlinear Helmholtz equations
Tobias Weth, Tolga Yesil
We establish weighted -Fourier-extension estimates for -invariant functions defined on the unit sphere , allowing for exponents below…