New applications of the existence of solutions for equilibrium equations with Neumann type boundary condition
Identifieur interne : 000004 ( Main/Curation ); précédent : 000003; suivant : 000005New applications of the existence of solutions for equilibrium equations with Neumann type boundary condition
Auteurs : Zhaoqi Ji [République populaire de Chine] ; Tao Liu [République populaire de Chine] ; Hong Tian [République populaire de Chine] ; Tanriver ÜlkerSource :
- Journal of Inequalities and Applications [ 1025-5834 ] ; 2017.
Abstract
Using the existence of solutions for equilibrium equations with a Neumann type boundary condition as developed by Shi and Liao (J. Inequal. Appl. 2015:363,
Url:
DOI: 10.1186/s13660-017-1357-4
PubMed: 28490851
PubMed Central: 5400806
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Paraguay 1950, Rosario, S2000FZF Argentina</nlm:aff>
<wicri:noCountry code="subfield">S2000FZF Argentina</wicri:noCountry>
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<front><div type="abstract" xml:lang="en"><p>Using the existence of solutions for equilibrium equations with a Neumann type boundary condition as developed by Shi and Liao (J. Inequal. Appl. 2015:363, <xref ref-type="bibr" rid="CR1">2015</xref>
), we obtain the Riesz integral representation for continuous linear maps associated with additive set-valued maps with values in the set of all closed bounded convex non-empty subsets of any Banach space, which are generalizations of integral representations for harmonic functions proved by Leng, Xu and Zhao (Comput. Math. Appl. 66:1-18, <xref ref-type="bibr" rid="CR2">2013</xref>
). We also deduce the Riesz integral representation for set-valued maps, for the vector-valued maps of Diestel-Uhl and for the scalar-valued maps of Dunford-Schwartz.</p>
</div>
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<author><name sortKey="Zhao, Y" uniqKey="Zhao Y">Y Zhao</name>
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