A characterization of caloric morphisms between manifolds.
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Nishio, Masaharu, Shimomura, Katsunori (2003)
Annales Academiae Scientiarum Fennicae. Mathematica
Peter A. Loeb (1982)
Mathematische Annalen
S. Chang (1981)
Studia Mathematica
Brzezina, Miroslav (1996)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
Rainer Wittmann (1988)
Journal für die reine und angewandte Mathematik
Wolfhard Hansen (1971)
Annales de l'institut Fourier
This paper is devoted to a study of harmonic mappings of a harmonic space on a harmonic space which are related to a family of harmonic mappings of into . In this way balayage in may be reduced to balayage in . In particular, a subset of is polar if and only if is polar. Similar result for thinness. These considerations are applied to the heat equation and the Laplace equation.
T. I. Andriadze, F. Criado (1990)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
Heinz Leutwiler (1987)
Aequationes mathematicae
Byszewski, Ludwik (1992)
Journal of Applied Mathematics and Stochastic Analysis
Gontara, Sabrine, El Abidine, Zagharide Zine (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Tero Kilpeläinen, Jan Maly (1990)
Manuscripta mathematica
Pawel Kröger (1989)
Mathematische Annalen
Josef Král, Stanislav Mrzena (1980)
Časopis pro pěstování matematiky
Fabrice Bethuel, Giandomenico Orlandi, Didier Smets (2005)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
We derive estimates for various quantities which are of interest in the analysis of the Ginzburg-Landau equation, and which we bound in terms of the -energy and the parameter . These estimates are local in nature, and in particular independent of any boundary condition. Most of them improve and extend earlier results on the subject.
N.A. Watson (1993)
Mathematica Scandinavica
R. Coifman, Guido Weiss (1970)
Studia Mathematica
Miroslav Brzezina (1990)
Czechoslovak Mathematical Journal
Jaroslav Lukes, Jan Maty (1981)
Mathematische Annalen
Abdoul Ifra, Lotfi Riahi (2004)
Annales Polonici Mathematici
We consider the general Schrödinger operator on a half-space in ℝⁿ, n ≥ 3. We prove that the L-Green function G exists and is comparable to the Laplace-Green function provided that μ is in some class of signed Radon measures. The result extends the one proved on the half-plane in [9] and covers the case of Schrödinger operators with potentials in the Kato class at infinity considered by Zhao and Pinchover. As an application we study the cone of all positive L-solutions continuously vanishing...
Abderrahim Aslimani, Imad El Ghazi, Mohamed El Kadiri, Sabah Haddad (2016)
Commentationes Mathematicae Universitatis Carolinae
In this paper we study some potential theoretical properties of solutions and super-solutions of some PDE systems (S) of type , , on a domain of , where and are suitable measures on , and , are two second order linear differential elliptic operators on with coefficients of class . We also obtain the integral representation of the nonnegative solutions and supersolutions of the system (S) by means of the Green kernels and Martin boundaries associated with and , and a convergence...
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