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arXiv · 1107.4518

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

Veronica Felli·Alberto Ferrero
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Abstract

A monotonicity approach to the study of the asymptotic behavior 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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Veronica Felli, Alberto Ferrero. 2011-07-22. Almgren-type monotonicity methods for the classification of behavior at corners of solutions to semilinear elliptic equations. https://arxiv.org/abs/1107.4518

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