Almgren-type monotonicity methods for the classification of behavior at   corners of solutions to semilinear elliptic equations
  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. 
Veronica Felli and Alberto Ferrero
math.AP