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On a Trace Inequality for One-Sided Potentials and Applications to the Solvability of Nonlinear Integral Equations

On a Trace Inequality for One-Sided Potentials and Applications to the Solvability of Nonlinear... Necessary and sufficient conditions, which govern a trace inequality for one-sided potentials in the “diagonal” case, are established. An application to the existence of positive solutions of a certain nonlinear integral equation is presented. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

On a Trace Inequality for One-Sided Potentials and Applications to the Solvability of Nonlinear Integral Equations

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References (12)

Publisher
de Gruyter
Copyright
© Heldermann Verlag
ISSN
1072-947X
eISSN
1072-9176
DOI
10.1515/GMJ.2001.521
Publisher site
See Article on Publisher Site

Abstract

Necessary and sufficient conditions, which govern a trace inequality for one-sided potentials in the “diagonal” case, are established. An application to the existence of positive solutions of a certain nonlinear integral equation is presented.

Journal

Georgian Mathematical Journalde Gruyter

Published: Sep 1, 2001

Keywords: Riemann–Liouville and Weyl operators; trace inequality; weight; nonlinear integral equation

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