5 papers · 1 filter
Existence and non-existence results for a fractional Lane-Emden equation with nonlocal Neumann conditions
Eleonora Cinti, Matteo Talluri, Tobias Weth
We consider the fractional Lane-Emden equation with a nonlocal Neumann condition in a half-space. We establish the existence of non-constant solutions for the critical problem in a…
-harmonic functions in the small order limit
Sven Jarohs, Abhrojyoti Sen, Tobias Weth
We study families of functions satisfying the equations , in a smooth bounded open set . The main purpose of this paper i…
Normalized solutions of Nehari-Pankov type to mass-supercritical indefinite variational problems
Damien Galant, Tobias Weth
We consider abstract nonlinear equations of the form , where is a self-adjoint operator with compact resolvent on a Hilbert space , is…
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 \…
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…