Weyl's lemma on \(RCD(K, N)\) metric measure spaces (Q6641652)

scientific article; zbMATH DE number 7947607

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English	Weyl's lemma on \(RCD(K, N)\) metric measure spaces	scientific article; zbMATH DE number 7947607

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instance of

scholarly article

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title

Weyl's lemma on \(RCD(K, N)\) metric measure spaces (English)

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Calculus of Variations and Partial Differential Equations

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publication date

21 November 2024

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zbMATH Keywords

local regularity

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gradient estimates

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elliptic equations with discontinuous coefficients

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MaRDI profile type

Publication

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cites work

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Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below

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Metric measure spaces with Riemannian Ricci curvature bounded from below

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Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds

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On the Bakry-Émery condition, the gradient estimates and the local-to-global property of \(\mathrm{RCD}^*(K,N)\) metric measure spaces

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Weakly non-collapsed RCD spaces are strongly non-collapsed

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On a conjecture of J. Serrin

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Boundary regularity and stability for spaces with Ricci bounded below

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The Dini condition and regularity of weak solutions of elliptic equations

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Differentiability of Lipschitz functions on metric measure spaces

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Lower bounds on Ricci curvature and the almost rigidity of warped products

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On the structure of spaces with Ricci curvature bounded below. I

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On the structure of spaces with Ricci curvature bounded below. III

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Existence of Harmonic L 1 Functions in Complete Riemannian Manifolds

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Non-Gaussian Aspects of Heat Kernel Behaviour

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The behavior of harmonic functions at singular points of \(\mathsf{RCD}\) spaces

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A short proof of local regularity of distributional solutions of Poisson’s equation

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On C1, C2, and weak type-(1,1) estimates for linear elliptic operators

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An Extension of Weyl's Lemma to Infinite Dimensions

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The abstract Lewy-Stampacchia inequality and applications

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Lectures on nonsmooth differential geometry

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A note on the topological stability theorem from RCD spaces to Riemannian manifolds

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Hypoelliptic second order differential equations

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On the asymptotic behavior of the dimension of spaces of harmonic functions with polynomial growth

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Cheeger-harmonic functions in metric measure spaces revisited

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Isoperimetric inequality via Lipschitz regularity of Cheeger-harmonic functions

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Sharp spectral gaps on metric measure spaces

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Pathological solutions to elliptic problems in divergence form with continuous coefficients

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Differentiability of solutions to second-order elliptic equations via dynamical systems

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Structure theory of metric measure spaces with lower Ricci curvature bounds

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The Riemannian structure of Alexandrov spaces

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Alexandrov meets Lott--Villani--Sturm

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Local Poincaré inequalities from stable curvature conditions on metric spaces

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Self-improvement of the Bakry-Émery condition and Wasserstein contraction of the heat flow in \(\text{RCD}(K, \infty)\) metric measure spaces

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Q4838145

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Newtonian spaces: An extension of Sobolev spaces to metric measure spaces

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Weyl's law in the theory of automorphic forms

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Identifiers

Mathematics Subject Classification ID

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10.1007/S00526-024-02862-X

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Sitelinks

Mathematics(1 entry)

mardi Publication:6641652