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Nonlinear Potential Theory on Metric Spaces

Anders Björn and Jana Björn
Publisher: 
European Mathematical Society
Publication Date: 
2011
Number of Pages: 
403
Format: 
Hardcover
Series: 
EMSTracts in Mathematics 17
Price: 
84.00
ISBN: 
9783037190999
Category: 
Monograph
We do not plan to review this book.
  • Newtonian spaces
  • Minimal $p$-weak upper gradients
  • Doubling measures
  • Poincaré inequalities
  • Properties of Newtonian functions
  • Capacities
  • Superminimizers
  • Interior regularity
  • Superharmonic functions
  • The Dirichlet problem for $p$-harmonic functions
  • Boundary regularity
  • Removable singularities
  • Irregular boundary points
  • Regular sets and applications thereof
  • Appendices
  • Bibliography
  • Index

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