On the boundary domains of the n-th eigenfunctions for the self-adjoined elliptic equation
Jan Bochenek (1965)
Annales Polonici Mathematici
Similarity:
Displaying similar documents to “Doubling properties and unique continuation at the boundary for elliptic operators with singular magnetic fields”
On the boundary domains of the n-th eigenfunctions for the self-adjoined elliptic equation
A regularity result for boundary value problems on Lipschitz domains
Ding Hua (1989)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Similarity:
Generalized Maximum Principle for Divergence Form Elliptic Equations in Unbounded Domains
Maurizio Chicco (2009)
Bollettino dell'Unione Matematica Italiana
Similarity:
In this note I extend some previuos results concerning a generalized maximum principle for linear second order elliptic equations in divergence form, to the case of unbounded domains.
Boundary value problems of linear elastostatics and hydrostatics on Lipschitz domains
Carlos E. Kenig (1983-1984)
Séminaire Équations aux dérivées partielles (Polytechnique)
Similarity:
An overdetermined elliptic problem in a domain with countably rectifiable boundary
Przemysław Górka (2007)
Colloquium Mathematicae
Similarity:
We examine an elliptic equation in a domain Ω whose boundary ∂Ω is countably (m-1)-rectifiable. We also assume that ∂Ω satisfies a geometrical condition. We are interested in an overdetermined boundary value problem (examined by Serrin [Arch. Ration. Mech. Anal. 43 (1971)] for classical solutions on domains with smooth boundary). We show that existence of a solution of this problem implies that Ω is an m-dimensional Euclidean ball.
Boundary value problems for elliptic equations.
Carlos E. Kenig (1991)
Publicacions Matemàtiques
Similarity:
In this note I will describe some recent results, obtained jointly with R. Fefferman and J. Pipher [RF-K-P], on the Dirichlet problem for second-order, divergence form elliptic equations, and some work in progress with J. Pipher [K-P] on the corresponding results for the Neumann and regularity problems.
Fatou theorems for some nonlinear elliptic equations.
Eugene Fabes, Nicola Garofalo, Santiago Marin Malave, Sandro Salsa (1988)
Revista Matemática Iberoamericana
Similarity:
Area integral estimates for higher order elliptic equations and systems
Björn E. J. Dahlberg, Carlos E. Kenig, Jill Pipher, G. C. Verchota (1997)
Annales de l'institut Fourier
Similarity:
Let be an elliptic system of higher order homogeneous partial differential operators. We establish in this article the equivalence in norm between the maximal function and the square function of solutions to in Lipschitz domains. Several applications of this result are discussed.
Elliptic and degenerate-elliptic operators in unbounded domains
D. E. Edmunds, W. D. Evans (1973)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
Dini continuity of the first derivatives of generalized solutions to the Dirichlet problem for linear elliptic second order equations in nonsmooth domains
Mikhail Borsuk (1998)
Annales Polonici Mathematici
Similarity:
We consider generalized solutions to the Dirichlet problem for linear elliptic second order equations in a domain bounded by a Dini-Lyapunov surface and containing a conical point. For such solutions we derive Dini estimates for the first order generalized derivatives.