Journal ArticleDOI
Mixed boundary value problems in plane domains with corners
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This article is published in Mathematische Zeitschrift.The article was published on 1970-02-01. It has received 48 citations till now. The article focuses on the topics: Mixed boundary condition & Boundary value problem.read more
Citations
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Journal ArticleDOI
Boundary-value problems for partial differential equations in non-smooth domains
V A Kondrat'ev,O A Oleinik +1 more
TL;DR: In this paper, the authors considered boundary value problems in non-smooth domains with conic points and isolated non-regular points on the boundary and showed that the solutions of these problems are asymptotic in the neighbourhood of a conic boundary point.
Journal ArticleDOI
On the integral equation method for the plane mixed boundary value problem of the Laplacian
TL;DR: In this article, the plane boundary value problem for the Laplacian with Dirichlet data on one part and Neumann data on the remaining part of the boundary is converted into a system of Fredholm integral equations.
Book
Elliptic boundary value problems of second order in piecewise smooth domains
TL;DR: In this paper, strong and weak solutions of the Dirichlet problem for elliptic divergence form quasilinear equations with triple degeneration in a neighborhood of a boundary edge are given.
Journal ArticleDOI
Boundary value problems for variational integrals involving surface curvatures
TL;DR: In this paper, NITSCHE et al. considered the problem of boundary value maximization with respect to a free energy functional which is quadratic in the principal curvatures.
Book ChapterDOI
Discretization of Semiconductor Device Problems (I)
Franco Brezzi,Luisa Donatella Marini,Stefano Micheletti,Paola Pietra,Riccardo Sacco,Song Wang +5 more
TL;DR: In this article, it is shown that the conservation part of the drift-diffusion (DD) system is convection dominated with respect to increasing powers of the carrier group velocity.
References
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Journal ArticleDOI
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
Book
Lectures on Elliptic Boundary Value Problems
TL;DR: In this article, the authors present an introduction to the theory of higher-order elliptic boundary value problems, and a detailed study of basic problems of the theory, such as the problem of existence and regularity of solutions of higher order elliptic edge value problems.
MonographDOI
Applications of functional analysis in mathematical physics
S. L. Sobolev,Felix E. Browder +1 more