On functions, whose lines of steepest descent bend proportionally to level lines

Giorgio Talenti

Displaying similar documents to “On functions, whose lines of steepest descent bend proportionally to level lines”

Exact solutions to some external mixed problems in potential theory

Valery I. Fabrikant (1986)

Aplikace matematiky

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A new and elegant procedure is proposed for the solution of mixed potential problems in a half-space with a circular line of division of boundary conditions. The approach is based on a new type of integral operators with special properties. Two general external problems are solved; i) An arbitrary potential is specified at the boundary outside a circle, and its normal derivative is zero inside; ii) An arbitrary normal derivative is given outside the circle, and be potential is zero inside....

On the Hölder continuity of solutions of second order elliptic equations in two variables

L. C. Piccinini, S. Spagnolo (1972)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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

A. Bazylewicz (1976)

Acta Arithmetica

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On functional measures of skewness

Renata Dziubińska, Dominik Szynal (1996)

Applicationes Mathematicae

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We introduce a concept of functional measures of skewness which can be used in a wider context than some classical measures of asymmetry. The Hotelling and Solomons theorem is generalized.

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

Andrzej Schinzel (1973)

Acta Arithmetica

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On the local limit theorem for general lattice distribution.

Peten'ko, V.O. (2001)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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On a 3D-Hypersingular Equation of a Problem for a Crack

Samko, Stefan (2011)

Fractional Calculus and Applied Analysis

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MSC 2010: 45DB05, 45E05, 78A45 We show that a certain axisymmetric hypersingular integral equation arising in problems of cracks in the elasticity theory may be explicitly solved in the case where the crack occupies a plane circle. We give three different forms of the resolving formula. Two of them involve regular kernels, while the third one involves a singular kernel, but requires less regularity assumptions on the the right-hand side of the equation.