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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Monotonicity of the $p$-Green functions
TL;DR: In this paper , a monotonicity formula for the proper p-Green function along its level sets for 1 < p < 3 was established on a complete p-nonparabolic 3-dimensional manifold with nonnegative scalar curvature and vanishing second homology.
Journal ArticleDOI
Some overdetermined problems related to the anisotropic capacity
TL;DR: In this article, the authors characterized the Wulff shape of an anisotropic norm in terms of solutions to overdetermined problems for the Finsler p-capacity of a convex set Ω ⊂ R N, with 1 p N.
Journal ArticleDOI
CORRECTORS AND FIELD FLUCTUATIONS FOR THE p(x)-LAPLACIAN WITH ROUGH EXPONENTS
Silvia Jimenez,Robert Lipton +1 more
TL;DR: In this article, a corrector theory for the strong approximation of fields inside composites made from two materials with different power-law behavior is provided. But the corrector is not applicable to the case of a single material and cannot be used to measure the amplification of applied macroscopic fields.
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Minkowski Inequality on complete Riemannian manifolds with nonnegative Ricci curvature
TL;DR: In this article, the authors considered Riemannian manifolds with nonnegative Ricci curvature and Euclidean volume growth and proved the validity of a new optimal Minkowski inequality.
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.