Almgren-type monotonicity methods for the classification of behaviour at corners of solutions to semilinear elliptic equations
Veronica Felli, Alberto Ferrero · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 2013
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.