Space expansion for a solution of an anisotropic p -Laplacian equation by using a parabolic approach

Fatma Gamze Düzgün; Paolo Marcellini; Vincenzo Vespri

Space expansion for a solution of an anisotropic p -Laplacian equation by using a parabolic approach

Fatma Gamze Düzgün
, Paolo Marcellini
, Vincenzo Vespri

Division of Analysis and Theory of Functions

University of Florence

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

23 Citations (Scopus)

Abstract

In this study we show that a technique introduced in the parabolic setting works also in the elliptic context. More precisely we prove a space expansion of positivity for solutions of an elliptic equation with anisotropic growth.

Original language	English
Pages (from-to)	93-111
Number of pages	19
Journal	Rivista di Matematica della Universita di Parma
Volume	5
Issue number	1
Publication status	Published - 2014

Keywords

Anisotropic p-Laplacian
Degenerate elliptic equations
Quantitative estimates

Cite this

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title = "Space expansion for a solution of an anisotropic p -Laplacian equation by using a parabolic approach",

abstract = "In this study we show that a technique introduced in the parabolic setting works also in the elliptic context. More precisely we prove a space expansion of positivity for solutions of an elliptic equation with anisotropic growth.",

keywords = "Anisotropic p-Laplacian, Degenerate elliptic equations, Quantitative estimates",

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AU - Düzgün, Fatma Gamze

AU - Marcellini, Paolo

AU - Vespri, Vincenzo

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N2 - In this study we show that a technique introduced in the parabolic setting works also in the elliptic context. More precisely we prove a space expansion of positivity for solutions of an elliptic equation with anisotropic growth.

AB - In this study we show that a technique introduced in the parabolic setting works also in the elliptic context. More precisely we prove a space expansion of positivity for solutions of an elliptic equation with anisotropic growth.

KW - Anisotropic p-Laplacian

KW - Degenerate elliptic equations

KW - Quantitative estimates

UR - https://www.scopus.com/pages/publications/84906683745

M3 - Article

AN - SCOPUS:84906683745

SN - 0035-6298

VL - 5

SP - 93

EP - 111

JO - Rivista di Matematica della Universita di Parma

JF - Rivista di Matematica della Universita di Parma

IS - 1

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Space expansion for a solution of an anisotropic p -Laplacian equation by using a parabolic approach

Abstract

Keywords

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