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 C1-level.
Linear Potentials in Nonlinear Potential Theory / Tuomo, Kuusi; Mingione, Giuseppe. - In: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. - ISSN 0003-9527. - 207:1(2013), pp. 215-246. [10.1007/s00205-012-0562-z]
Linear Potentials in Nonlinear Potential Theory
MINGIONE, Giuseppe
2013-01-01
Abstract
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 C1-level.File in questo prodotto:
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