A detour on a class of nonlocal degenerate operators

Authors

  • Delia Schiera Universidade de Lisboa, Departamento de Matemática do Instituto Superior Técnico

DOI:

https://doi.org/10.6092/issn.2240-2829/17272

Keywords:

Maximum and comparison principles, Fully nonlinear degenerate elliptic PDE, Nonlocal operators, Eigenvalue problem

Abstract

We present some recent results on a class of degenerate operators which are modeled on the fractional Laplacian, converge to the truncated Laplacian, and are extremal among operators with fractional diffusion along subspaces of possibly different dimensions. In particular, we will recall basic properties of these operators, validity of maximum principles, and related phenomena.

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Published

2023-07-06

How to Cite

Schiera, D. (2023). A detour on a class of nonlocal degenerate operators. Bruno Pini Mathematical Analysis Seminar, 14(1), 95–115. https://doi.org/10.6092/issn.2240-2829/17272

Issue

Vol. 14 No. 1 (2023): Nonlocal and Nonlinear PDEs at the University of Bologna

Section

Articles

License

Copyright (c) 2023 Delia Schiera

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 Unported License.