Nonlinear Potential Theory of Degenerate Elliptic Equations
Nonlinear Potential Theory of Degenerate Elliptic Equations A self-contained treatment appropriate for advanced undergraduates and graduate students, this text offers a detailed development of the…
Specifikacia Nonlinear Potential Theory of Degenerate Elliptic Equations
Nonlinear Potential Theory of Degenerate Elliptic Equations
A self-contained treatment appropriate for advanced undergraduates and graduate students, this text 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, this treatment advances to the theory of weighted variational capacity. Chapter 7 defines superharmonic functions via the comparison principle, and chapters 8 through 14 form the core of the nonlinear potential theory of superharmonic functions. Succeeding chapters investigate solutions and supersolutions of equations, with emphasis on refined Sobolev spaces, variational integrals, and harmonic functions.
The text concludes with explorations Topics include balayage; Perron's method, barriers, and resolutivity; polar sets; harmonic measure; fine topology; harmonic morphisms; and quasiregular mappings.
Nonlinear Wave Equations
Arithmetic of Elliptic Curves
Arithmetic of Elliptic Curves
Methods of Nonlinear Analysis