Results 21 to 30 of about 59 (51)

Harnack Inequalities and ABP Estimates for Nonlinear Second‐Order Elliptic Equations in Unbounded Domains

open access: yesAbstract and Applied Analysis, Volume 2008, Issue 1, 2008., 2008
We are concerned with fully nonlinear uniformly elliptic operators with a superlinear gradient term. We look for local estimates, such as weak Harnack inequality and local maximum principle, and their extension up to the boundary. As applications, we deduce ABP‐type estimates and weak maximum principles in general unbounded domains, a strong maximum ...
M. E. Amendola   +3 more
wiley   +1 more source

The compactificability classes of certain spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2006, Issue 1, 2006., 2006
We apply the theory of the mutual compactificability to some spaces, mostly derived from the real line. For example, any noncompact locally connected metrizable generalized continuum, the Tichonov cube without its zero point Iℵ0\{0}, as well as the Cantor discontinuum without its zero point Dℵ0\{0} are of the same class of mutual compactificability as ...
Martin Maria Kovár
wiley   +1 more source

Line antiderivations over local fields and their applications

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2005, Issue 2, Page 263-309, 2005., 2005
A non‐Archimedean antiderivational line analog of the Cauchy‐type line integration is defined and investigated over local fields. Classes of non‐Archimedean holomorphic functions are defined and studied. Residues of functions are studied; Laurent series representations are described.
S. V. Ludkovsky
wiley   +1 more source

Some applications of minimal open sets

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 8, Page 471-476, 2001., 2001
We characterize minimal open sets in topological spaces. We show that any nonempty subset of a minimal open set is pre‐open. As an application of a theory of minimal open sets, we obtain a sufficient condition for a locally finite space to be a pre‐Hausdorff space.
Fumie Nakaoka, Nobuyuki Oda
wiley   +1 more source

Therapeutic Use of Botulinum Neurotoxins in Dermatology: Systematic Review. [PDF]

open access: yesToxins (Basel), 2021
Martina E   +4 more
europepmc   +1 more source

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