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Its importance in many areas of pure and applied mathematics has been recognized since the days of Laplace
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Nonlinear Potential Theory of Degenerate Elliptic Equations hobbyist musiciansA self contained treatment appropriate for advanced undergraduate and graduate students, this volume offers a detailed development of the necessary background for its survey of the nonlinear potential theory of superharmonic functions. Starting with the theory of weighted Sobolev spaces, the text advances to the theory of weighted variational capacity. Succeeding chapters investigate solutions and supersolutions of equations, with emphasis on refined
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