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The Dirichlet problem for elliptic equations in the plane

Paola Cavaliere, Maria Transirico (2005)

Commentationes Mathematicae Universitatis Carolinae

In this paper an existence and uniqueness theorem for the Dirichlet problem in $W^{2, p}$ for second order linear elliptic equations in the plane is proved. The leading coefficients are assumed here to be of class VMO.

The Dirichlet problem for the Monge-Ampère equation in convex (but not strictly convex) domains.

Hartenstine, David (2006)

Electronic Journal of Differential Equations (EJDE) [electronic only]

The Dirichlet problem in half-space for elliptic equations with unbounded coefficients

J. H. Chabrowski (1987)

Rendiconti del Seminario Matematico della Università di Padova

The discontinuous boundary problem for transversally-isotopic plates containing linear defects.

Rasheed, Al-Momani Raid, Ahmad, Jafar Husni (1998)

Revista Colombiana de Matemáticas

The inhomogeneous dam problem with discontinuous permeability

Avner Friedman, Shao-Yun Huang (1987)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

The p-harmonic system with measure-valued right hand side

Georg Dolzmann, Norbert Hungerbühler, Stefan Müller (1997)

Annales de l'I.H.P. Analyse non linéaire

Trace imbeddings for $T$ -sets and application to Neumann-Dirichlet problems with measures included in the boundary data

Andrée Decarreau, Jin Liang, Jean-Michel Rakotoson (1996)

Annales de la Faculté des sciences de Toulouse : Mathématiques