2 results match your criteria Bulletin Of Mathematical Sciences[Journal]

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Amenability of coarse spaces and -algebras.

Bull Math Sci 2018 9;8(2):257-306. Epub 2017 Nov 9.

5Department of Mathematics, Penn State University, 109 McAllister Building, University Park, PA 16802 USA.

In this article we analyze the notions of amenability and paradoxical decomposition from an algebraic perspective. We consider this dichotomy for locally finite extended metric spaces and for general algebras over fields. In the context of algebras we also study the relation of amenability with proper infiniteness. Read More

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http://dx.doi.org/10.1007/s13373-017-0109-6DOI Listing
November 2017
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Guide to nonlinear potential estimates.

Bull Math Sci 2014;4:1-82. Epub 2014 Jan 9.

Dipartimento di Matematica e Informatica, Università di Parma, Parco Area delle Scienze 53/a, Campus, 43124  Parma, Italy.

One of the basic achievements in nonlinear potential theory is that the typical linear pointwise estimates via fundamental solutions find a precise analog in the case of nonlinear equations. We give a comprehensive account of this fact and prove new unifying families of potential estimates. We also describe new fine properties of solutions to measure data problems. Read More

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http://dx.doi.org/10.1007/s13373-013-0048-9DOI Listing
January 2014
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