5 citations · 8 across the 11 of their papers we have counts for
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math.AP2018
Local compactness and nonvanishing for weakly singular nonlocal quadratic forms
Sven Jarohs, Tobias Weth
In this work we study a class of nonlocal quadratic forms given by \[ \mathcal{E}_j(u,v)=\frac{1}{2}\int_{\mathbb{R}^N}\int_{\mathbb{R}^N}(u(x)-u(y))(v(x)-v(y))j(x-y)\ dxdy, \] whe…
math.AP2018
Critical domains for the first nonzero Neumann eigenvalue in Riemannian manifolds
Mouhamed Moustapha Fall, Tobias Weth
The present paper is devoted to geometric optimization problems related to the Neumann eigenvalue problem for the Laplace-Beltrami operator on bounded subdomains of a Riemannia…
math.AP2018
Symmetry breaking via Morse index for equations and systems of Hénon-Schrödinger type
Zhenluo Lou, Tobias Weth, Zhitao Zhang
We consider the Dirichlet problem for the Schrödinger-Hénon system in the unit ball $Ω\…