Almgren-type monotonicity methods for the classification of behaviour at corners of solutions to semilinear elliptic equations

Veronica Felli; Alberto Ferrero

doi:10.1017/S0308210511001314

Almgren-type monotonicity methods for the classification of behaviour at corners of solutions to semilinear elliptic equations

Veronica Felli
, Alberto Ferrero

Department of Science and Technological Innovation

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

Abstract

A monotonicity approach to the study of the asymptotic behaviour near corners of solutions to semilinear elliptic equations in domains with a conical boundary point is discussed. The presence of logarithms in the first term of the asymptotic expansion is excluded for boundary profiles sufficiently close to straight conical surfaces.

Original language	English
Pages (from-to)	957-1019
Number of pages	63
Journal	Proceedings of the Royal Society of Edinburgh Section A: Mathematics
Volume	143
Issue number	5
DOIs	https://doi.org/10.1017/S0308210511001314
Publication status	Published - Oct 2013

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title = "Almgren-type monotonicity methods for the classification of behaviour at corners of solutions to semilinear elliptic equations",

abstract = "A monotonicity approach to the study of the asymptotic behaviour near corners of solutions to semilinear elliptic equations in domains with a conical boundary point is discussed. The presence of logarithms in the first term of the asymptotic expansion is excluded for boundary profiles sufficiently close to straight conical surfaces.",

author = "Veronica Felli and Alberto Ferrero",

year = "2013",

month = oct,

doi = "10.1017/S0308210511001314",

language = "English",

volume = "143",

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journal = "Proceedings of the Royal Society of Edinburgh Section A: Mathematics",

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AU - Felli, Veronica

AU - Ferrero, Alberto

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N2 - A monotonicity approach to the study of the asymptotic behaviour near corners of solutions to semilinear elliptic equations in domains with a conical boundary point is discussed. The presence of logarithms in the first term of the asymptotic expansion is excluded for boundary profiles sufficiently close to straight conical surfaces.

AB - A monotonicity approach to the study of the asymptotic behaviour near corners of solutions to semilinear elliptic equations in domains with a conical boundary point is discussed. The presence of logarithms in the first term of the asymptotic expansion is excluded for boundary profiles sufficiently close to straight conical surfaces.

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DO - 10.1017/S0308210511001314

M3 - Article

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SP - 957

EP - 1019

JO - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

JF - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

IS - 5

ER -

Almgren-type monotonicity methods for the classification of behaviour at corners of solutions to semilinear elliptic equations

Abstract

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