104 citations · 168 across the 13 of their papers we have counts for
6 papers · 1 filter
A note on the implicit function theorem for quasi-linear eigenvalue problems
Robin Nittka
We consider the quasi-linear eigenvalue problem subject to Dirichlet boundary conditions on a bounded open set , where is a locally Lipschitz continuous fun…
Inhomogeneous Parabolic Neumann Problems
Robin Nittka
We study second order parabolic equations on Lipschitz domains subject to inhomogeneous Neumann (or, more generally, Robin) boundary conditions. We prove existence and uniqueness o…
Quasilinear elliptic and parabolic Robin problems on Lipschitz domains
Robin Nittka
We prove Hölder continuity up to the boundary for solutions of quasi-linear degenerate elliptic problems in divergence form, not necessarily of variational type, on Lipschitz domai…
Regularity of Solutions of Linear Second Order Elliptic and Parabolic Boundary Value Problems on Lipschitz Domains
Robin Nittka
For a linear, strictly elliptic second order differential operator in divergence form with bounded, measurable coefficients on a Lipschitz domain we show that solutions of the…
Approximation of the Semigroup generated by the Robin Laplacian in terms of the Gaussian Semigroup
Robin Nittka
For smooth bounded open sets in euclidean space, we construct corresponding contractive linear extension operators for the space of continuous functions which preserve regularity o…
Isometric Lattice Homomorphisms between Sobolev Spaces
Markus Biegert, Robin Nittka
Given bounded domains and in $\mathds{R}^N$ and an isometry from to , we give sufficient conditions ensuring that corresponds to a…