3 papers
math.AP2026
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
Dual variational methods for time-harmonic nonlinear Maxwell's equations
Rainer Mandel
We prove the existence of infinitely many nontrivial solutions for time-harmonic nonlinear Maxwell's equations on bounded domains and on using dual variational metho…
math.AP2024
Optimal weighted Fourier restriction estimates for the sphere in 2D
Rainer Mandel
We prove weighted versions of the 2D Restriction Conjecture for the unit sphere in . Our results involve the weight functions and $(1+|x|+|y|)^…