Special Session 75: Recent developments in Nonlinear PDEs, non-uniformly elliptic problems and related topics

Almgren type monotonicity formulas

Mariana Smit Vega Garcia
Western Washington University
USA
Co-Author(s):    Blair Davey
Abstract:
In this talk, we will explore the celebrated Almgrens monotonicity formula. This beautiful result with far-reaching consequences states that if u is harmonic in the unit ball, then a certain frequency function N(r) is non-decreasing. Moreover, N(r)=k for all r