Given a (Formula presented.) family of vector fields (Formula presented.) which induces a continuous Carnot–Carathéodory distance, we show that any absolute minimizer of a supremal functional defined by a (Formula presented.) quasiconvex Hamiltonian (Formula presented.), allowing (Formula presented.) -variable dependence, is a viscosity solution to the Aronsson equation (Formula presented.).
The Aronsson equation for absolute minimizers of supremal functionals in Carnot–Carathéodory spaces / Pinamonti, A.; Verzellesi, S.; Wang, C.. - In: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. - ISSN 0024-6093. - 55:2(2023), pp. 998-1018. [10.1112/blms.12773]
The Aronsson equation for absolute minimizers of supremal functionals in Carnot–Carathéodory spaces
Pinamonti A.;Verzellesi S.
;
2023-01-01
Abstract
Given a (Formula presented.) family of vector fields (Formula presented.) which induces a continuous Carnot–Carathéodory distance, we show that any absolute minimizer of a supremal functional defined by a (Formula presented.) quasiconvex Hamiltonian (Formula presented.), allowing (Formula presented.) -variable dependence, is a viscosity solution to the Aronsson equation (Formula presented.).I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione
