Ranges of -homogeneous operators and their perturbations
Pavel Drábek (1980)
Časopis pro pěstování matematiky
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Displaying similar documents to “On the approximation of elliptic operators with discontinuous coefficients”
Ranges of -homogeneous operators and their perturbations
A note on nonhomogeneous initial and boundary conditions in parabolic problems solved by the Rothe method
Karel Rektorys, Marie Ludvíková (1980)
Aplikace matematiky
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When solving parabolic problems by the so-called Rothe method (see K. Rektorys, Czech. Math. J. 21 (96), 1971, 318-330 and other authors), some difficulties of theoretical nature are encountered in the case of nonhomogeneous initial and boundary conditions. As a rule, these difficulties lead to rather unnatural additional conditions imposed on the corresponding bilinear form and the initial and boundary functions. In the present paper, it is shown how to remove such additional assumptions...
Higher regularity of weak solutions of strongly nonlinear elliptic equations
Simader, Christian G.
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Some possibly degenerate elliptic problems with measure data and non linearity on the boundary
Thierry Gallouët, Yannick Sire (2011)
Annales de la faculté des sciences de Toulouse Mathématiques
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The goal of this paper is to study some possibly degenerate elliptic equation in a bounded domain with a nonlinear boundary condition involving measure data. We investigate two types of problems: the first one deals with the laplacian in a bounded domain with measure supported on the domain and on the boundary. A second one deals with the same type of data but involves a degenerate weight in the equation. In both cases, the nonlinearity under consideration lies on the boundary. For the...