Existence and multiplicity results for Dirichlet problem with fractional Laplacian and nonlinearity
type: Item
instance of: scholarly article
title: Existence and multiplicity results for Dirichlet problem with fractional Laplacian and nonlinearity
author: Robert Stańczy
author: Dorota Bors
published in: Journal of Fixed Point Theory and Applications
publication date: 2022-01-07T00:00:00Z
review text: In this paper, the authors studied the constructive sufficient conditions for the nonexistence, existence and multiplicity results for Dirichlet BVPs with the fractional Laplacian. By using topological Krasnosel'skii Fixed Point Theorem combined with analytic analysis of the properties of the fractional Laplace operator enabling the proper definition of the cone invariant under the action of the inverse of the fractional Laplace operator
reviewed by: Thanin Sitthiwirattham
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 7453459
zbMATH Keywords: fractional Laplacian
zbMATH Keywords: fixed point
zbMATH Keywords: integral equation
zbMATH Keywords: differential equation
zbMATH Keywords: cone compression and expansion
MaRDI profile type: Publication
full work available at URL: s11784-021-00915-8
OpenAlex ID: W3217570302
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DOI: 10.1007/S11784-021-00915-8
description: scientific article; zbMATH DE number 7453459