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Displaying 181 – 200 of 1784

Approximations by regular sets and Wiener solutions in metric spaces

Anders Björn, Jana Björn (2007)

Commentationes Mathematicae Universitatis Carolinae

Let $X$ be a complete metric space equipped with a doubling Borel measure supporting a weak Poincaré inequality. We show that open subsets of $X$ can be approximated by regular sets. This has applications in nonlinear potential theory on metric spaces. In particular it makes it possible to define Wiener solutions of the Dirichlet problem for $p$ -harmonic functions and to show that they coincide with three other notions of generalized solutions.

Area Nevanlinna type classes of analytic functions in the unit disk and related spaces

Romi Shamoyan, Seraphim Maksakov (2018)

Communications in Mathematics

The survey collects many recent advances on area Nevanlinna type classes and related spaces of analytic functions in the unit disk concerning zero sets and factorization representations of these classes and discusses approaches, used in proofs of these results.

Arithmetic capacities on IP N.

Robert Rumely, Chi Fong Lau (1994)

Mathematische Zeitschrift

Associated families of pluriharmonic maps and isotropy.

R. Tribuzy, J.-H. Eschenburg (1998)

Manuscripta mathematica

Asymptotic behavior for a class of modified $α$ -potentials in a half space.

Qiao, Lei, Deng, Guantie (2010)

Journal of Inequalities and Applications [electronic only]

Asymptotic behavior of Fourier-Laplace transform

Lars Hörmander (1993)

Journées équations aux dérivées partielles

Asymptotic Behavior of Fundamental Solutions and Potential Theory of Prabolic Operators with Variable Coeeficients.

Nicola Garofalo, Ermanno Lanconelli (1989)

Mathematische Annalen

Asymptotic behavior of the invariant measure for a diffusion related to an NA group

Ewa Damek, Andrzej Hulanicki (2006)

Colloquium Mathematicae

On a Lie group NA that is a split extension of a nilpotent Lie group N by a one-parameter group of automorphisms A, the heat semigroup $μ_{t}$ generated by a second order subelliptic left-invariant operator $\sum_{j = 0}^{m} Y_{j} + Y$ is considered. Under natural conditions there is a $μ ̌_{t}$ -invariant measure m on N, i.e. $μ ̌_{t} * m = m$ . Precise asymptotics of m at infinity is given for a large class of operators with Y₀,...,Yₘ generating the Lie algebra of S.

Asymptotic behaviour and correctors for linear Dirichlet problems with simultaneously varying operators and domains

Gianni Dal Maso, François Murat (2004)

Annales de l'I.H.P. Analyse non linéaire

Asymptotic behaviour of generalized Poisson integrals in rank one symmetric spaces and in trees

Peter Sjögren (1988)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Asymptotic growth of Cauchy transforms.

Jones, P.W., Poltoratski, A.G. (2004)

Annales Academiae Scientiarum Fennicae. Mathematica

Asymptotic Paths for Subharmonic Functions.

Bent Fuglede (1975)

Mathematische Annalen

Asymptotic paths for subsolutions of quasilinear elliptic equations.

Juha Heinonen (1988)

Manuscripta mathematica

Asymptotic tracts of harmonic functions. III.

Barth, Karl F., Brannan, David A. (1996)

International Journal of Mathematics and Mathematical Sciences

Asymptotically minimax estimation of order-constrained parameters and eigenfunctions of the laplacian on the ball

Adam Korányi, K. Brenda MacGibbon (2002)

Annales de l'I.H.P. Probabilités et statistiques

Asymptotics for some Green Kernels on the Heisenberg Group and the Martin Boundary.

D. Müller, H. Hueber (1989)

Mathematische Annalen

Axiomatique des fonctions biharmoniques. I

Emmanuel P. Smyrnelis (1975)

Annales de l'institut Fourier

Les théories axiomatiques existantes de fonctions harmoniques ne s’appliquent pas à des équations simples d’ordre $> 2$ , comme l’équation biharmonique $Δ^{2} u = Δ (Δ u) = 0$ ou le système équivalent $Δ u_{1} = - u_{2}$ , $Δ u_{2} = 0$ .On développe donc ici, au moyen d’un faisceau de couples convenables de fonctions $(u_{1}, u_{2})$ une approche axiomatique locale applicable à des équations du type $L_{2} (L_{1} u) = 0$ , où $L_{j}$ ( $j = 1, 2$ ) est un opérateur linéaire du second ordre elliptique ou parabolique. Deux axiomatiques harmoniques lui sont associées. On traite, dans ce cadre, le problème (généralisé)...

Axiomatique des fonctions biharmoniques. II

Emmanuel P. Smyrnelis (1976)

Annales de l'institut Fourier

Dans un espace biharmonique, on définit un balayage de couples de mesures et, en particulier, on retrouve les trois mesures du problème de Riquier. Une de ces mesures n’étant pas harmonique, son étude présente un certain intérêt. On établit, dans ce cadre, des inégalités de type Harnack et on introduit les fonctions hyperharmoniques d’ordre 2. Le problème de la construction d’un espace biharmonique à partir de deux espaces harmoniques est aussi étudié. Enfin, on donne des applications de la théorie...

Balayage de fonctions excessives

J. C. Taylor (1970/1971)

Séminaire Brelot-Choquet-Deny. Théorie du potentiel

Balayage-Operatoren in der Potentialtheorie.

Udo Bauermann (1977)

Mathematische Annalen

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