Nonlocal Neumann boundary conditions

Authors

  • Edoardo Proietti Lippi Università degli Studi di Perugia, Dipartimento di Ingegneria Civile ed Ambientale

DOI:

https://doi.org/10.6092/issn.2240-2829/17275

Keywords:

fractional p-Laplacian, Neumann boundary conditions, regularity, superlinear problems, mixed local and fractional Laplacians

Abstract

We present some properties of a nonlocal version of the Neumann boundary conditions associated to problems involving the fractional p-Laplacian. For this problems, we show some regularity results for the general case and some existence results for particular types of problems. When p=2, we give a generalization of the boundary conditions in which both the nonlocal and the classic Neumann conditions are present, and we consider problems involving both nonlocal and local interactions.

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Published

2023-07-06

How to Cite

Proietti Lippi, E. (2023). Nonlocal Neumann boundary conditions. Bruno Pini Mathematical Analysis Seminar, 14(1), 58–76. https://doi.org/10.6092/issn.2240-2829/17275

Issue

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

Section

Articles

License

Copyright (c) 2023 Edoardo Proietti Lippi

Creative Commons License

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