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math.AP2016
Nonlinear time-harmonic Maxwell equations in domains
Thomas Bartsch, Jarosław Mederski
The search for time-harmonic solutions of nonlinear Maxwell equations in the absence of charges and currents leads to the elliptic equation $$\nabla\times\left(μ(x)^{-1} \nabla\tim…
math.AP2016
A natural constraint approach to normalized solutions of nonlinear Schrödinger equations and systems
Thomas Bartsch, Nicola Soave
We prove existence of normalized solutions to \[ \begin{cases} -Δu - λ_1 u = μ_1 u^3+ βu v^2 & \text{in } -Δv- λ_2 v = μ_2 v^3 +βu^2 v & \text{in }\int_…