Biswas-Lőrinczi2020_Article_AmbrosettiProdiTypeResultsForD.pdf (456.63 kB)

Ambrosetti-Prodi type results for Dirichlet problems of fractional Laplacian-like operators

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journal contribution
posted on 09.06.2020, 13:30 by Anup Biswas, Jozsef Lorinczi
We establish Ambrosetti–Prodi type results for viscosity and classical solutions of nonlinear Dirichlet problems for fractional Laplace and comparable operators. In the choice of nonlinearities we consider semi-linear and super-linear growth cases separately. We develop a new technique using a functional integration-based approach, which is more robust in the non-local context than a purely analytic treatment.

Funding

INSPIRE faculty fellowship and a DST-SERB Grant EMR/2016/004810.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Integral Equations and Operator Theory

Volume

92

Publisher

Springer Verlag

Version

VoR (Version of Record)

Rights holder

© The Authors

Publisher statement

This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

Acceptance date

20/05/2020

Publication date

2020-06-04

Copyright date

2020

ISSN

0378-620X

eISSN

1420-8989

Language

en

Depositor

Dr Jozsef Lorinczi. Deposit date: 9 June 2020

Article number

26

Licence

Exports