T. Weth

activity

20072026

most citedGround states and high energy solutions of the planar Schrödinger-Poisson system

5 citations · 11 across the 23 of their papers we have counts for

collaborators

Showing 2023Show all

7 papers · 1 filter

math.AP2023

An extension problem for the logarithmic Laplacian

Huyuan Chen, Daniel Hauer, Tobias Weth

The logarithmic Laplacian on the (whole) N-dimensional Euclidean space is defined as the first variation of the fractional Laplacian of order 2s at s=0 or, alternatively, as a sing…

math.AP2023

Differentiability of the nonlocal-to-local transition in fractional Poisson problems

Alberto Saldaña, Sven Jarohs, Tobias Weth

Let $u_{s}$ denote a solution of the fractional Poisson problem $(- Δ)^{s} u_{s} = f in Ω, u_{s} = 0 on R^{N} ∖ Ω,$ where $N \geq 2$ and $Ω\sub…

math.AP2023

Continuity of solutions to equations with weakly singular nonlocal operators

Sven Jarohs, Moritz Kassmann, Tobias Weth

We prove boundedness and regularity estimates for weak solutions to a class of linear nonlocal equations involving integro-differential operators with almost no order of differenti…

math.AP2023

Nondegeneracy properties and uniqueness of positive solutions to a class of fractional semilinear equations

Mouhamed Moustapha Fall, Tobias Weth

We prove that positive solutions $u \in H^{s} (R^{N})$ to the equation $(- Δ)^{s} u + u = u^{p}$ in $R^{N}$ are nonradially nondegenerate, for all $s \in (0, 1)$ , $N \geq 1$ and $p>…

math.AP2023

Multiplicity and symmetry breaking for supercritical elliptic problems in exterior domains

Alberto Boscaggin, Francesca Colasuonno, Benedetta Noris +1

We deal with the following semilinear equation in exterior domains \[-Δu + u = a(x)|u|^{p-2}u,\qquad u\in H^1_0({A_R}), \] where $A_{R} := {x \in R^{N} : ∣ x ∣ > R}$ , $N\ge 3…

math.AP2023

Exceptional domains in higher dimensions

Ignace Aristide Minlend, Tobias Weth, Jing Wu

We prove the existence of nontrivial unbounded exceptional domains in the Euclidean space $R^{N}$ , $N \geq 4$ . These domains arise as perturbations of complements of straight cylinder…