Extremal functions and contractive divisors in $A^{-n}$

C. Horowitz; B. Korenblum; B. Pinchuk

Displaying similar documents to “Extremal functions and contractive divisors in $A^{- n}$ ”

An inverse problem for the equation $▵ u = - c u - d$

Michael Vogelius (1994)

Annales de l'institut Fourier

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Let $Ω$ be a bounded, convex planar domain whose boundary has a not too degenerate curvature. In this paper we provide partial answers to an identification question associated with the boundary value problem $▵ u = - c u - d in Ω, u = 0 on \partial Ω .$ We prove two results: 1) If $Ω$ is not a ball and if one considers only solutions with $- c u - d \leq 0$ , then there exist at most finitely many pairs of coefficients $(c, d)$ so that the normal derivative $\frac{\partial u}{\partial ν} |_{\partial Ω}$ equals a given $ψ \neq 0$ . 2) If one imposes no sign condition on the...

On the continuation of solutions for elliptic equations in two variables

Frank Müller (2002)

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

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Ferromagnetic integrals, correlations and maximum principles

Johannes Sjöstrand (1994)

Annales de l'institut Fourier

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For correlations of the form (0.2) we consider a critical case and prove power decay upper bounds in terms of the fundamental solution of a certain elliptic operator. This is achieved by improving the use of a maximum principle. We also formulate a general maximum principle and give two applications.

On the product of the conjugates outside the unit circle of an algebraic number

Andrzej Schinzel (1973)

Acta Arithmetica

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Fatou and Korányi-Vági type theorems on the minimal ball.

Nguyên Viêt Anh (2002)

Publicacions Matemàtiques

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In this paper we develop the H(p ≥ 1) theory on the minimal ball. After identifying the admissible approach regions, we establish theorems of Fatou and Koráanyi-Vági type on this ball.

A partial differential operator which is surjective on Gevrey classes $Γ^{d} (ℝ ³)$ with 1 ≤ d < 2 and d ≥ 6 but not for 2 ≤ d < 6

Rüdiger Braun (1993)

Studia Mathematica

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It is shown that the partial differential operator $P (D) = \partial ⁴ / \partial x ⁴ - \partial ² / \partial y ² + i \partial / \partial z : Γ^{d} (ℝ ³) \to Γ^{d} (ℝ ³)$ is surjective if 1 ≤ d < 2 or d ≥ 6 and not surjective for 2 ≤ d < 6.

On the product of the conjugates outside the unit circle of an algebraic integer

A. Bazylewicz (1976)

Acta Arithmetica

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Displaying similar documents to “Extremal functions and contractive divisors in A - n ”

An inverse problem for the equation ▵ u = - c u - d

On the continuation of solutions for elliptic equations in two variables

Ferromagnetic integrals, correlations and maximum principles

On the product of the conjugates outside the unit circle of an algebraic number

Fatou and Korányi-Vági type theorems on the minimal ball.

A partial differential operator which is surjective on Gevrey classes Γ d ( ℝ ³ ) with 1 ≤ d < 2 and d ≥ 6 but not for 2 ≤ d < 6

On the product of the conjugates outside the unit circle of an algebraic integer

Displaying similar documents to “Extremal functions and contractive divisors in $A^{- n}$ ”

An inverse problem for the equation $▵ u = - c u - d$

A partial differential operator which is surjective on Gevrey classes $Γ^{d} (ℝ ³)$ with 1 ≤ d < 2 and d ≥ 6 but not for 2 ≤ d < 6