Ambrosetti–Prodi Type Results for Dirichlet Problems of Fractional Laplacian-Like Operators

Lorinczi, Jozsef; BISWAS, ANUP

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dc.contributor.author	BISWAS, ANUP	en_US
dc.contributor.author	Lorinczi, Jozsef	en_US
dc.date.accessioned	2020-06-30T11:16:19Z
dc.date.available	2020-06-30T11:16:19Z
dc.date.issued	2020-06	en_US
dc.identifier.citation	Integral Equations and Operator Theory, 92(3).	en_US
dc.identifier.issn	-	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/4850
dc.identifier.uri	https://doi.org/10.1007/s00020-020-02584-7	en_US
dc.description.abstract	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.	en_US
dc.language.iso	en	en_US
dc.publisher	Springer Nature	en_US
dc.subject	Semi-linear nonlocal exterior value problem	en_US
dc.subject	Ambrosetti–Prodi problem	en_US
dc.subject	Viscosity solutions	en_US
dc.subject	Bifurcations	en_US
dc.subject	Fractional Schrödinger operator	en_US
dc.subject	Principal eigenvalues	en_US
dc.subject	Maximum principles	en_US
dc.subject	TOC-JUN-2020	en_US
dc.subject	2020	en_US
dc.subject	2020-JUL-WEEK1	en_US
dc.title	Ambrosetti–Prodi Type Results for Dirichlet Problems of Fractional Laplacian-Like Operators	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Integral Equations and Operator Theory	en_US
dc.publication.originofpublisher	Foreign	en_US