Journal ArticleDOI
Capacitary functions in convex rings
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This article is published in Archive for Rational Mechanics and Analysis.The article was published on 1977-09-01. It has received 203 citations till now.read more
Citations
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Comparison results between linear and quasilinear elliptic boundary value problems
TL;DR: In this article, the authors consider des resultats de comparaison du type suivant: on the one hand, if u∈C 2 ∩C(Ω) satisfait un probleme aux valeurs limites elliptique quasi lineaire: −div(a(x,u,⊇u)⊆ = b(x.u, u, u) dans Ω, u=φ sur ∂Ω, v =const.
Journal ArticleDOI
Power Convexity of Solutions to a Special Lagrangian Equation in Dimension Two
Wei Zhang,Qi Zhou +1 more
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Isoperimetric inequalities and geometry of level curves of harmonic functions on smooth and singular surfaces
Tomasz Adamowicz,Giona Veronelli +1 more
TL;DR: In this paper, the authors investigated the logarithmic convexity of the length of the level curves for harmonic functions on surfaces and related isoperimetric type inequalities, and showed that such curvatures satisfy certain Laplace type equations and inequalities, from which they infer various maximum and minimum principles.
References
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Book
Singular Integrals and Differentiability Properties of Functions.
TL;DR: Stein's seminal work Real Analysis as mentioned in this paper is considered the most influential mathematics text in the last thirty-five years and has been widely used as a reference for many applications in the field of analysis.
BookDOI
Multiple integrals in the calculus of variations
TL;DR: In this paper, a variational method in the theory of harmonic integrals has been proposed to solve the -Neumann problem on strongly pseudo-convex manifolds and parametric Integrals two-dimensional problems.