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

Dipartimento di Scienze e Innovazione Tecnologica

Risultato della ricerca: Contributo su rivista › Articolo in rivista › 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.

Lingua originale	Inglese
pagine (da-a)	957-1019
Numero di pagine	63
Rivista	Proceedings of the Royal Society of Edinburgh Section A: Mathematics
Volume	143
Numero di pubblicazione	5
DOI	https://doi.org/10.1017/S0308210511001314
Stato di pubblicazione	Pubblicato - ott 2013

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10.1017/S0308210511001314

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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",

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

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

Abstract

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