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 ∂ Ω . We prove two results: 1) If Ω is not a ball and if one considers only solutions with - c u - d ≤ 0 , then there exist at most finitely many pairs of coefficients ( c , d ) so that the normal derivative ∂ u ∂ ν | ∂ Ω equals a given ψ ≠ 0 . 2) If one imposes no sign condition on the...

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.

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.