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

作者：Felli Veronica^*; Ferrero Alberto

来源：Proceedings of the Royal Society of Edinburgh: Section A Mathematics , 2013, 143(5): 957-1019.

DOI：10.1017/S0308210511001314

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.

• 出版日期2013-10