Théorème d'indice et régularité pour une classe d'opérateurs elliptiques et dégénérés
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Dominique Prévosto, Jacques Rolland (1974)
Journées équations aux dérivées partielles
Dominique Prevosto, Jacques Rolland (1974)
Publications mathématiques et informatique de Rennes
Jacques Rolland (1975)
Journées équations aux dérivées partielles
Jean Pierre Raymond (1988)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Laurent Hoeltgen, Andreas Kleefeld, Isaac Harris, Michael Breuss (2019)
Applications of Mathematics
Laplace interpolation is a popular approach in image inpainting using partial differential equations. The classic approach considers the Laplace equation with mixed boundary conditions. Recently a more general formulation has been proposed, where the differential operator consists of a point-wise convex combination of the Laplacian and the known image data. We provide the first detailed analysis on existence and uniqueness of solutions for the arising mixed boundary value problem. Our approach considers...
Pham The Lai (1974/1975)
Séminaire Jean Leray
Bruno Franchi, Cristian E. Gutiérrez, Richard L. Wheeden (1994)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
In this Note we prove a two-weight Sobolev-Poincaré inequality for the function spaces associated with a Grushin type operator. Conditions on the weights are formulated in terms of a strong weight with respect to the metric associated with the operator. Roughly speaking, the strong condition provides relationships between line and solid integrals of the weight. Then, this result is applied in order to prove Harnack's inequality for positive weak solutions of some degenerate elliptic equations....
Roland Lemmert (1977)
Mathematische Annalen
Bianca Rosa Bellomo (1986)
Rendiconti del Seminario Matematico della Università di Padova
Maria Erminia Marina (1975)
Rendiconti del Seminario Matematico della Università di Padova
G. Métivier (1977/1978)
Séminaire Équations aux dérivées partielles (Polytechnique)
P. Bolley, J. Camus (1970/1971)
Séminaire Équations aux dérivées partielles (Polytechnique)
Garcia-Melian, Jorge (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Lei, Yutian (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Albo Carlos Cavalheiro (2014)
Applicationes Mathematicae
We investigate the existence and uniqueness of solutions to the Dirichlet problem for a degenerate nonlinear elliptic equation on Ω in the setting of the space H₀(Ω).
David Arcoya, Sergio Segura de León (2010)
ESAIM: Control, Optimisation and Calculus of Variations
We study a comparison principle and uniqueness of positive solutions for the homogeneous Dirichlet boundary value problem associated to quasi-linear elliptic equations with lower order terms. A model example is given by The main feature of these equations consists in having a quadratic gradient term in which singularities are allowed. The arguments employed here also work to deal with equations having lack of ellipticity or some dependence on u in the right hand side. Furthermore, they...
Fabio Punzo, Alberto Tesei (2009)
Annales de l'I.H.P. Analyse non linéaire
Erika Battaglia, Stefano Biagi, Andrea Bonfiglioli (0)
Annales de l’institut Fourier
Guy Métivier (1977)
Mémoires de la Société Mathématique de France
Pham The Lai, D. Robert (1979)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze