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Nonlinear Potential Theory on Metric Spaces

Anders Björn, Jana Björn
EMS Press
69 € · Hardcover

Boundary regularity, capacity, Dirichlet problem, doubling measure, interior regularity, metric space, minimizer Newtonian space Sobolev space potential theory upper gradient nonlinear, obstacle problem, Perron solution, p-harmonic function, Poincaré inequality

The p-Laplace equation is the main prototype for nonlinear elliptic problems and forms a basis for various applications, such as injection moulding of plastics, nonlinear elasticity theory and image processing. Its solutions, called p-harmonic functions, have been studied in various contexts since t...

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