Biswas-Lőrinczi2020_Article_AmbrosettiProdiTypeResultsForD.pdf (456.63 kB)
Ambrosetti-Prodi type results for Dirichlet problems of fractional Laplacian-like operators
journal contributionposted on 2020-06-09, 13:30 authored 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.
INSPIRE faculty fellowship and a DST-SERB Grant EMR/2016/004810.
- Mathematical Sciences
Published inIntegral Equations and Operator Theory
- VoR (Version of Record)
Rights holder© The Authors
Publisher statementThis 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/.