W. Reichel

activity

20072009

most citedLocalized Modes of the Linear Periodic Schrödinger Operator with a Nonlocal Perturbation

1 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2009★ 1 cited

Existence of solutions to nonlinear, subcritical higher-order elliptic Dirichlet problems

Wolfgang Reichel, Tobias Weth

We consider the $2 m$ -th order elliptic boundary value problem $Lu = f (x, u)$ on a bounded smooth domain $Ω \subset R^{N}$ with Dirichlet boundary conditions on $\partial Ω$ . The operator…

math.SP2008★ 1 cited

Localized Modes of the Linear Periodic Schrödinger Operator with a Nonlocal Perturbation

Tomáš Dohnal, Michael Plum, Wolfgang Reichel

We consider the existence of localized modes corresponding to eigenvalues of the periodic Schrödinger operator $- \partial_{x}^{2} + V (x)$ with an interface. The interface is modeled by…

math.AP2007

A priori bounds and a Liouville theorem on a half-space for higher order elliptic Dirichlet problems

Wolfgang Reichel, Tobias Weth

We consider the $2 m$ -th order elliptic boundary value problem $Lu = f (x, u)$ on a bounded smooth domain $Ω$ in $R^{N}$ with Dirichlet boundary conditions. The operator $L$ is a uniforml…