Linear Potentials in Nonlinear Potential Theory

Linear Potentials in Nonlinear Potential Theory

Pointwise gradient bounds via Riesz potentials, such as those available for the linear Poisson equation, actually hold for general quasilinear degenerate equations of p -Laplacean type. The regularity theory of such equations completely reduces to that of the classical Poisson equation up to the C 1...

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Veröffentlicht in:Archive for rational mechanics and analysis 2013, Vol.207 (1), p.215-246
Hauptverfasser: Kuusi, Tuomo, Mingione, Giuseppe
Format: Artikel
Sprache:eng
Schlagworte:
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Classical Mechanics
Complex Systems
Fluid- and Aerodynamics
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
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Zusammenfassung:Pointwise gradient bounds via Riesz potentials, such as those available for the linear Poisson equation, actually hold for general quasilinear degenerate equations of p -Laplacean type. The regularity theory of such equations completely reduces to that of the classical Poisson equation up to the C 1 -level.
ISSN:0003-9527
1432-0673
DOI:10.1007/s00205-012-0562-z