W. Reichel

activity

20072026

most cited"Boundary blowup" type sub-solutions to semilinear elliptic equations with Hardy potential

29 citations · 58 across the 19 of their papers we have counts for

collaborators

Showing 2016 · math.APShow all

3 papers · 2 filters

math.AP2016

A breather construction for a semilinear curl-curl wave equation with radially symmetric coefficients

Michael Plum, Wolfgang Reichel

We consider the semilinear curl-curl wave equation $s(x) \partial_t^2 U +\nabla\times\nabla\times U + q(x) U \pm V(x) |U|^{p-1} U = 0 \mbox{ for } (x,t)\in \mathbb{R}^3\times\mathb…

math.AP2016

Existence of cylindrically symmetric ground states to a nonlinear curl-curl equation with non-constant coefficients

Andreas Hirsch, Wolfgang Reichel

We consider the nonlinear curl-curl problem $\nabla \times \nabla \times U + V (x) U = f (x, ∣ U ∣^{2}) U$ in $R^{3}$ related to the nonlinear Maxwell equations with Kerr-type nonlinear…

math.AP2016

A priori bounds and global bifurcation results for frequency combs modeled by the Lugiato-Lefever equation

Rainer Mandel, Wolfgang Reichel

In nonlinear optics $2 π$ -periodic solutions $a \in C^{2} ([0, 2 π]; C)$ of the stationary Lugiato-Lefever equation $- d a " = (i - ζ) a + ∣ a ∣^{2} a - i f$ serve as a model for f…