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Elliptic PDEs, Measures and Capacities

From the Poisson Equation to Nonlinear Thomas-Fermi Problems

Elliptic PDEs, Measures and Capacities( )
Author: Ponce, Augusto C.
Series title:EMS Tracts in Mathematics Ser.
ISBN:978-3-03719-140-8
Publication Date:Oct 2016
Publisher:European Mathematical Society
Book Format:Hardback
List Price:USD $69.00
Book Description:

Partial differential equations (PDEs) and geometric measure theory (GMT) are branches of analysis whose connections are usually not emphasized in introductory graduate courses. Yet one cannot dissociate the notions of mass or electric charge, naturally described in terms of measures, from the physical potential they generate. Having such a principle in mind, this book illustrates the beautiful interplay between tools from PDEs and GMT in a simple and elegant way by investigating...
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