A remark on the regularity at the boundary for solutions of elliptic equations

M. K. Venkatesha Murthy

Displaying similar documents to “A remark on the regularity at the boundary for solutions of elliptic equations”

On elliptic partial differential equations

L. Nirenberg (1959)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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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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Nonlocal elliptic boundary value problems

Martin Schechter (1966)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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The $L_{p}$ approach to the Dirichlet problem. Part I : regularity theorems

Shmuel Agmon (1959)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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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.

Linear elliptic operators with measurable coefficients

Neil S. Trudinger (1973)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Displaying similar documents to “A remark on the regularity at the boundary for solutions of elliptic equations”

On elliptic partial differential equations

Regularity in elliptic free boundary problems. II. Equations of higher order

Nonlocal elliptic boundary value problems

The L p approach to the Dirichlet problem. Part I : regularity theorems

Deficient Coerciveness Estimate for an Abstract Differential Equation with a Parameter Dependent Boundary Conditions

Linear elliptic operators with measurable coefficients

The $L_{p}$ approach to the Dirichlet problem. Part I : regularity theorems