We analyze a natural approach to the regularity of solutions of problems related to some anisotropic Laplacian operators, and a subsequent extension of the usual De Giorgi classes, by investigating the relation of the functions in such classes with the weak solutions to some anisotropic elliptic equations as well as with the quasi-minima of the corresponding functionals with anisotropic polynomial growth.
Intrinsic geometry and De Giorgi classes certain anisotropic Sobolev spaces / Baroni, Paolo; DI CASTRO, Agnese; Palatucci, Giampiero. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S. - ISSN 1937-1179. - 10:4(2017), pp. 647-659. [10.3934/dcdss.2017032]
Intrinsic geometry and De Giorgi classes certain anisotropic Sobolev spaces
BARONI, PAOLO;DI CASTRO, Agnese;PALATUCCI, Giampiero
2017-01-01
Abstract
We analyze a natural approach to the regularity of solutions of problems related to some anisotropic Laplacian operators, and a subsequent extension of the usual De Giorgi classes, by investigating the relation of the functions in such classes with the weak solutions to some anisotropic elliptic equations as well as with the quasi-minima of the corresponding functionals with anisotropic polynomial growth.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
