Monotonicity formulas for extrinsic triharmonic maps and the triharmonic Lane–Emden equation

Simon Blatt

doi:10.1016/j.jde.2017.01.025

Monotonicity formulas for extrinsic triharmonic maps and the triharmonic Lane–Emden equation

Simon Blatt

Mathematics

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

Abstract

We derive monotonicity formulas and ε-regularity results for extrinsic triharmonic maps and triharmonic Lane–Emden equations. As an application, we prove partial regularity results for both types of equations in the supercritical regime.

Translated title of the contribution	Monotonicity formulas for extrinsic triharmonic maps and the triharmonic Lane–Emden equation
Original language	English
Pages (from-to)	5691-5734
Number of pages	42
Journal	Journal of Differential Equations
Volume	262
Issue number	12
DOIs	https://doi.org/10.1016/j.jde.2017.01.025
Publication status	Published - 15 Jun 2017

Bibliographical note

262

Keywords

Monotonicity formula
Partial regularity
Triharmonic Lane–Emden equation
Triharmonic map

Fields of Science and Technology Classification 2012

101 Mathematics

Access to Document

10.1016/j.jde.2017.01.025Licence: Unspecified

Cite this

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title = "Monotonicity formulas for extrinsic triharmonic maps and the triharmonic Lane–Emden equation",

abstract = "We derive monotonicity formulas and ε-regularity results for extrinsic triharmonic maps and triharmonic Lane–Emden equations. As an application, we prove partial regularity results for both types of equations in the supercritical regime.",

keywords = "Monotonicity formula, Partial regularity, Triharmonic Lane–Emden equation, Triharmonic map, Monotonicity formula, Partial regularity, Triharmonic Lane–Emden equation, Triharmonic map",

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N2 - We derive monotonicity formulas and ε-regularity results for extrinsic triharmonic maps and triharmonic Lane–Emden equations. As an application, we prove partial regularity results for both types of equations in the supercritical regime.

AB - We derive monotonicity formulas and ε-regularity results for extrinsic triharmonic maps and triharmonic Lane–Emden equations. As an application, we prove partial regularity results for both types of equations in the supercritical regime.

KW - Monotonicity formula

KW - Partial regularity

KW - Triharmonic Lane–Emden equation

KW - Triharmonic map

KW - Monotonicity formula

KW - Partial regularity

KW - Triharmonic Lane–Emden equation

KW - Triharmonic map

U2 - 10.1016/j.jde.2017.01.025

DO - 10.1016/j.jde.2017.01.025

M3 - Article

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VL - 262

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JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 12

ER -