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Extremals in nonlinear potential theory (Q2086117)

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scientific article

Language	Label	Description	Also known as
English	Extremals in nonlinear potential theory	scientific article

Statements

scholarly article

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Extremals in nonlinear potential theory (English)

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Francis Seuffert

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publication date

20 October 2022

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full work available at URL

https://arxiv.org/abs/2005.13615

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zbMATH Keywords

nonlinear potential theory

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calculus of variations

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\(p\)-Laplacian

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MaRDI profile type

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Nonlinear potential theory on metric spaces

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Gradient estimates via non standard potentials and continuity

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Sharp Morrey-Sobolev inequalities and the distance from extremals

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The sharp Sobolev inequality in quantitative form

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Optimal second-order regularity for the \(p\)-Laplace system

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Gradient continuity estimates

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Gradient estimates via non-linear potentials

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Gradient stability for the Sobolev inequality: the case \(p\geq 2\)

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The quantitative isoperimetric inequality and related topics

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Elliptic partial differential equations of second order

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Asymptotic flatness of Morrey extremals

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On the quasi-linear elliptic PDE \({-\nabla \cdot ( \nabla{u}/ \sqrt{1-| \nabla{u} |^2}) = 4 \pi \sum_k a_k \delta_{s_k}}\) in physics and geometry

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Correction to: ``On the quasi-linear elliptic PDE \(-\nabla\cdot({\nabla}{u}/ \sqrt{1-|{\nabla}{u}|^2}) = 4\pi\sum_k a_k \delta_{s_k}\) in physics and geometry''

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Nonlinear potential theory of metric spaces

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Linear potentials in nonlinear potential theory

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Multiple integrals in the calculus of variations

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A note on strong-form stability for the Sobolev inequality

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Pointwise gradient estimates for a class of singular quasilinear equations with measure data

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An extension of the Bianchi-Egnell stability estimate to Bakry, Gentil, and Ledoux's generalization of the Sobolev inequality to continuous dimensions

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Advances in the Calculus of Variations

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1515/ACV-2020-0063

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Sitelinks

Mathematics(1 entry)

mardi Publication:2086117

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