5 citations · 11 across the 24 of their papers we have counts for
6 papers · 2 filters
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…
Nodal Solutions for sublinear-type problems with Dirichlet boundary conditions
Denis Bonheure, Ederson Moreira dos Santos, Enea Parini +2
We consider nonlinear second order elliptic problems of the type \[ -Δu=f(u) \text{ in } Ω, \qquad u=0 \text{ on } \partial Ω, \] where is an open -domain in $\mathbb{…
Morse index versus radial symmetry for fractional Dirichlet problems
Mouhamed Moustapha Fall, Pierre Aime Feulefack, Remi Yvant Temgoua +1
In this work, we provide an estimate of the Morse index of radially symmetric sign changing bounded weak solutions to the semilinear fractional Dirichlet problem $$ (-Δ)^su = f…