A surprising linear type estimate for nonlinear elliptic equations

Tuomo Kuusi; Giuseppe Mingione

doi:10.1016/j.crma.2011.07.025

A surprising linear type estimate for nonlinear elliptic equations

Tuomo Kuusi^*, Giuseppe Mingione

^*Corresponding author for this work

Department of Mathematics and Systems Analysis

Research output: Contribution to journal › Article › Scientific › peer-review

15 Citations (Scopus)

Abstract

Pointwise gradient bounds via Riesz potentials, like those available for the Poisson equation, actually hold for p-Laplacian type equations.

Original language	English
Pages (from-to)	889-892
Number of pages	4
Journal	COMPTES RENDUS MATHEMATIQUE
Volume	349
Issue number	15-16
DOIs	https://doi.org/10.1016/j.crma.2011.07.025
Publication status	Published - Aug 2011
MoE publication type	A1 Journal article-refereed

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10.1016/j.crma.2011.07.025

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title = "A surprising linear type estimate for nonlinear elliptic equations",

abstract = "Pointwise gradient bounds via Riesz potentials, like those available for the Poisson equation, actually hold for p-Laplacian type equations.",

author = "Tuomo Kuusi and Giuseppe Mingione",

year = "2011",

month = aug,

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language = "English",

volume = "349",

pages = "889--892",

journal = "COMPTES RENDUS MATHEMATIQUE",

issn = "1631-073X",

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AU - Mingione, Giuseppe

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AB - Pointwise gradient bounds via Riesz potentials, like those available for the Poisson equation, actually hold for p-Laplacian type equations.

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DO - 10.1016/j.crma.2011.07.025

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JO - COMPTES RENDUS MATHEMATIQUE

JF - COMPTES RENDUS MATHEMATIQUE

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