Journal ArticleDOI
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
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This article is published in Communications on Pure and Applied Mathematics.The article was published on 1959-11-01. It has received 3953 citations till now. The article focuses on the topics: Free boundary problem & Boundary value problem.read more
Citations
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Asymptotic Analysis of Periodic Structures
Book
Functional Analysis, Sobolev Spaces and Partial Differential Equations
TL;DR: In this article, the theory of conjugate convex functions is introduced, and the Hahn-Banach Theorem and the closed graph theorem are discussed, as well as the variations of boundary value problems in one dimension.
Book ChapterDOI
On elliptic partial differential equations
TL;DR: In this paper, a series of lectures on the theory of elliptic differential equations is presented, including the Hilbert space approach to the Dirichlet problem for strongly elliptic systems, and various inequalities.
Journal ArticleDOI
Bifurcation from simple eigenvalues
TL;DR: In this article, a general version of the main problem of bifurcation theory, given p ϵ C, determine the structure of G−1{0} in some neighborhood of p.
Journal ArticleDOI
Fine phase mixtures as minimizers of energy
TL;DR: In this article, the authors explore a theoretical approach to these fine phase mixtures based on the minimization of free energy and show that the α-phase breaks up into triangular domains called Dauphine twins which become finer and finer in the direction of increasing temperature.
References
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Journal ArticleDOI
On the existence of certain singular integrals
A. P. Calderón,A. Zygmund +1 more
TL;DR: In this article, it was shown that the integral can exist almost everywhere even if K is not integrable, and the most interesting special case is that of K (x) = 1/x.
Book ChapterDOI
On Singular Integrals
TL;DR: In this paper, the results obtained jointly with A. P. Calderon during the last few years are presented, but not all the results are accompanied by proofs, and for additional details the reader is referred to original papers.
Journal ArticleDOI
Interior estimates for elliptic systems of partial differential equations
Avron Douglis,Louis Nirenberg +1 more