Regularity of the boundary of a capillary drop on an inhomogeneous plane and related variational problems.
Luis A. Caffarelli, Avner Friedman (1985)
Revista Matemática Iberoamericana
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Luis A. Caffarelli, Avner Friedman (1985)
Revista Matemática Iberoamericana
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J. Górski (1960)
Annales Polonici Mathematici
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Ján Andres, Vladimír Vlček (1992)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Alexander Hanuška (1968)
Aplikace matematiky
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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....
Robert Vrabel (2011)
Kybernetika
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This paper deals with the three-point boundary value problem for the nonlinear singularly perturbed second-order systems. Especially, we focus on an analysis of the solutions in the right endpoint of considered interval from an appearance of the boundary layer point of view. We use the method of lower and upper solutions combined with analysis of the integral equation associated with the class of nonlinear systems considered here.