5 citations · 8 across the 16 of their papers we have counts for
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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…
Spectral properties of the logarithmic Laplacian
Ari Laptev, Tobias Weth
We obtain spectral inequalities and asymptotic formulae for the discrete spectrum of the operator in an open set , , of finite measure wit…
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{…