Almgren-type monotonicity methods for the classification of behavior at corners of solutions to semilinear elliptic equations
arXiv:1107.4518
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.