Extensions of a result by G. Talenti to (p,q)-Laplace equations

Behrouz Emamizadeh; Yichen Liu; Giovanni Porru

doi:10.1016/j.na.2018.09.005

Extensions of a result by G. Talenti to (p,q)-Laplace equations

Behrouz Emamizadeh, Yichen Liu, Giovanni Porru^*

^*Corresponding author for this work

Department of Applied Mathematics

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

3 Citations (Scopus)

Abstract

We prove a comparison result for solutions to (p,q)-Laplace equation via Schwarz symmetrization. For the p-Laplace equation, the corresponding result is due to Giorgio Talenti. In a special (radial) case we also prove a reverse comparison result.

Original language	English
Pages (from-to)	41-51
Number of pages	11
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	180
DOIs	https://doi.org/10.1016/j.na.2018.09.005
Publication status	Published - Mar 2019

Keywords

(p,q)-Laplacian
Comparison results
Symmetrization

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10.1016/j.na.2018.09.005

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title = "Extensions of a result by G. Talenti to (p,q)-Laplace equations",

abstract = "We prove a comparison result for solutions to (p,q)-Laplace equation via Schwarz symmetrization. For the p-Laplace equation, the corresponding result is due to Giorgio Talenti. In a special (radial) case we also prove a reverse comparison result.",

keywords = "(p,q)-Laplacian, Comparison results, Symmetrization",

author = "Behrouz Emamizadeh and Yichen Liu and Giovanni Porru",

note = "Publisher Copyright: {\textcopyright} 2018",

year = "2019",

month = mar,

doi = "10.1016/j.na.2018.09.005",

language = "English",

volume = "180",

pages = "41--51",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

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T1 - Extensions of a result by G. Talenti to (p,q)-Laplace equations

AU - Emamizadeh, Behrouz

AU - Liu, Yichen

AU - Porru, Giovanni

PY - 2019/3

Y1 - 2019/3

N2 - We prove a comparison result for solutions to (p,q)-Laplace equation via Schwarz symmetrization. For the p-Laplace equation, the corresponding result is due to Giorgio Talenti. In a special (radial) case we also prove a reverse comparison result.

AB - We prove a comparison result for solutions to (p,q)-Laplace equation via Schwarz symmetrization. For the p-Laplace equation, the corresponding result is due to Giorgio Talenti. In a special (radial) case we also prove a reverse comparison result.

KW - (p,q)-Laplacian

KW - Comparison results

KW - Symmetrization

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U2 - 10.1016/j.na.2018.09.005

DO - 10.1016/j.na.2018.09.005

M3 - Article

AN - SCOPUS:85054795369

SN - 0362-546X

VL - 180

SP - 41

EP - 51

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

ER -

Extensions of a result by G. Talenti to (p,q)-Laplace equations

Abstract

Keywords

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