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math.AP2007
Sharp exponential integrability for traces of monotone Sobolev functions
Pekka Pankka, Pietro Poggi-Corradini, Kai Rajala
We use geometric methods to obtain a sharp exponential integrability result for boundary traces of monotone Sobolev functions defined on the unit ball.
math.AP2004★ 4 cited
Embedding operators and boundary-value problems for rough domains
V. G. Goldshtein, A. G. Ramm
In the first part of the paper boundary-value problems are considered under weak assumptions on the smoothness of the domains. We assume nothing about smoothness of the boundary $\…
math.AP2004
The Hele-Shaw problem as a "Mesa" limit of Stefan problems: Existence, uniqueness, and regularity of the free boundary
I. A. Blank, M. K. Korten, C. N. Moore
We study a Hele-Shaw problem with a mushy region obtained as a Mesa type limit of one phase Stefan problems in exterior domains. We study the convergence, determine some of the qua…