A remark on the regularity at the boundary for solutions of elliptic equations
M. K. Venkatesha Murthy (1961)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “On ellipticity of fourth order opetaror”
A remark on the regularity at the boundary for solutions of elliptic equations
Regularity in elliptic free boundary problems. II. Equations of higher order
D. Kinderlehrer, L. Nirenberg, J. Spruck (1979)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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On elliptic partial differential equations
L. Nirenberg (1959)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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A difference method for a system of second order ordinary differential equations
Krystyna Szafraniec (1989)
Annales Polonici Mathematici
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Remark on a uniqueness result for a boundary value problem of eighth-order.
Danet, Cristian-Paul (2009)
Applied Mathematics E-Notes [electronic only]
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A regularity theorem for linear second order elliptic divergence equations
R. A. Hager, J. Ross (1972)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Higher regularity for nonlinear oblique derivative problems in Lipschitz domains
Gary M. Lieberman (2002)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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There is a long history of studying nonlinear boundary value problems for elliptic differential equations in a domain with sufficiently smooth boundary. In this paper, we show that the gradient of the solution of such a problem is continuous when a directional derivative is prescribed on the boundary of a Lipschitz domain for a large class of nonlinear equations under weak conditions on the data of the problem. The class of equations includes linear equations with fairly rough coefficients...
Deficient Coerciveness Estimate for an Abstract Differential Equation with a Parameter Dependent Boundary Conditions
Aissa Aibeche, Angelo Favini, Chahrazed Mezoued (2007)
Bollettino dell'Unione Matematica Italiana
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In this paper we consider an abstract elliptic differential problem where the equation and the boundary conditions may contain a spectral parameter. We first prove that this problem generates an isomorphism between appropriate spaces and we establish a more precise estimate called coerciveness estimate with defect. The results obtained are applied to study some classes of elliptic, and also possibly degenerate, problems.