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math.AP2017
The unique continuation property of sublinear equations
Nicola Soave, Tobias Weth
We derive the unique continuation property of a class of semi-linear elliptic equations with non-Lipschitz nonlinearities. The simplest type of equations to which our results apply…
math.AP2017★ 5 cited
Ground states and high energy solutions of the planar Schrödinger-Poisson system
Miao Du, Tobias Weth
In this paper, we are concerned with the Schrödinger-Poisson system \begin{equation} (0.1)\qquad -Δu + u +ϕu = |u|^{p-2}u \quad \text{in}\ \mathbb{R}^{d},\qquad Δϕ= u^{2} \quad \te…
math.AP2017★ 1 cited
Near-sphere lattices with constant nonlocal mean curvature
Xavier Cabre, Mouhamed Moustapha Fall, Tobias Weth
We are concerned with unbounded sets of whose boundary has constant nonlocal (or fractional) mean curvature, which we call CNMC sets. This is the equation associated…