Global solvability of Hammerstein equations with applications to BVP involving fractional Laplacian
type: Item
instance of: scholarly article
title: Global solvability of Hammerstein equations with applications to BVP involving fractional Laplacian
zbMATH Open document ID: 1291.45006
DOI: 10.1155/2013/240863
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: Some sufficient conditions for the nonlinear integral operator of the Hammerstein type to be a diffeomorphism defined on a certain Sobolev space are formulated. The main result assures the invertibility of the Hammerstein operator and in consequence the global solvability of the nonlinear Hammerstein equations. The applications of the result to nonlinear Dirichlet BVP involving the fractional Laplacian and to some specific Hammerstein equation are presented.
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 6306554
author: Dorota Bors
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/240863
OpenAlex ID: W1975867844
Wikidata QID: Q58915634
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description: scientific article; zbMATH DE number 6306554