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math.AP2025
Ground state solutions to generalized nonlinear wave equations with infinite-dimensional kernel
Rainer Mandel, Tobias Weth
The present paper is devoted to existence results for time-periodic solutions of generalized nonlinear wave equations in a closed Riemannian manifold M. Our main focus lies on the…
math.AP2025
Fractional Dirichlet problems with an overdetermined nonlocal Neumann condition
Michele Gatti, Julian Scheuer, Tobias Weth
We investigate symmetry and quantitative approximate symmetry for an overdetermined problem related to the fractional torsion equation in a regular open, bounded set $Ω\subseteq \m…
math.AP2025
A new framework for Ljusternik-Schnirelmann theory and its application to planar Choquard equations
Omar Cabrera, Silvia Cingolani, Tobias Weth
We consider the planar logarithmic Choquard equation in the strongly indefinite and possibly degenerat…