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

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 funct...

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Bibliographic Details

Main Authors:	Anup Biswas, Jozsef Lorinczi
Format:	Default Article
Published:	2020
Subjects:	Semi-linear nonlocal exterior value problem Ambrosetti–Prodi problem Viscosity solutions Bifurcations Fractional Schrödinger operator Principal eigenvalues Maximum principles
Online Access:	https://hdl.handle.net/2134/12452408.v1
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