Ueber den Bau der Vogelniere.
On the penalized obstacle problem in the unit half ball.
Construction of Quasi-Uniformities.
Projectively Solid Sets and an N-dimensional Piccard's Theorem
We discuss functions f : X × Y → Z such that sets of the form f (A × B) have non-empty interiors provided that A and B are non-empty sets of second category and have the Baire property.
Note on a result of E.P. Lane
Homological transformations in four-dimensional space.
Topological spaces which admit a compatible complete quasi-uniformity
A Hölder infinity Laplacian
In this paper we study the limit as → ∞ of minimizers of the fractional -norms. In particular, we prove that the limit satisfies a non-local and non-linear equation. We also prove the existence and uniqueness of solutions of the equation. Furthermore, we prove the existence of solutions in general for the corresponding inhomogeneous equation. By making strong use of the barriers in this construction, we obtain some regularity results....
On the two-phase membrane problem with coefficients below the Lipschitz threshold
A Hölder infinity Laplacian
In this paper we study the limit as → ∞ of minimizers of the fractional -norms. In particular, we prove that the limit satisfies a non-local and non-linear equation. We also prove the existence and uniqueness of solutions of the equation. Furthermore, we prove the existence of solutions in general for the corresponding inhomogeneous equation. By making strong use of the barriers in this construction, we obtain some regularity results....
Totally bounded frame quasi-uniformities
This paper considers totally bounded quasi-uniformities and quasi-proximities for frames and shows that for a given quasi-proximity on a frame there is a totally bounded quasi-uniformity on that is the coarsest quasi-uniformity, and the only totally bounded quasi-uniformity, that determines . The constructions due to B. Banaschewski and A. Pultr of the Cauchy spectrum and the compactification of a uniform frame are meaningful for quasi-uniform frames. If is a totally bounded quasi-uniformity...
Page 1