The nodal set of solutions to anomalous equations

Authors

  • Giorgio Tortone Dipartimento di Matematica, Alma Mater Studiorum Università di Bologna

DOI:

https://doi.org/10.6092/issn.2240-2829/10367

Keywords:

Nodal set, Degenerate or singular elliptic equations, Nonlocal diffusion, Monotonicity formulas, Blow-up classification

Abstract

This note focuses on the geometric-theoretic analysis of the nodal set of solutions to specific degenerate or singular equations. As they belong to the Muckenhoupt class A_2, these operators appear in the seminal works of Fabes, Kenig, Jerison and Serapioni. In particular, they have recently attracted a lot of attention in the last decade due to their link to the local realization of the fractional Laplacian. The  goal is to get a glimpse of the complete theory of the nodal set of solutions of such equations in the spirit of the seminal works of Hardt, Simon, Han and Lin.

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Published

2019-12-31

How to Cite

Tortone, G. (2019). The nodal set of solutions to anomalous equations. Bruno Pini Mathematical Analysis Seminar, 10(1), 98–109. https://doi.org/10.6092/issn.2240-2829/10367

Issue

Seminars 2019

Section

Articles

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Copyright (c) 2019 Giorgio Tortone

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