We consider variational integral functionals [Formula presented]where [Formula presented] is a bounded open subset in [Formula presented] and the integrand [Formula presented] is not subjected to any growth condition from above neither satisfies any regularity assumption, growing linearly with respect to the [Formula presented]-variable. Their interest relies on the fact that they are strictly connected with optimal transport problems with congestion effects. The aim of this paper is to find sufficient conditions on the boundary datum [Formula presented] in order to obtain global and explicit estimates for the solutions of the following minimization problem [Formula presented]

Pointwise bounds for minimizers of some anisotropic functionals

Leonetti, Francesco;
2018-01-01

Abstract

We consider variational integral functionals [Formula presented]where [Formula presented] is a bounded open subset in [Formula presented] and the integrand [Formula presented] is not subjected to any growth condition from above neither satisfies any regularity assumption, growing linearly with respect to the [Formula presented]-variable. Their interest relies on the fact that they are strictly connected with optimal transport problems with congestion effects. The aim of this paper is to find sufficient conditions on the boundary datum [Formula presented] in order to obtain global and explicit estimates for the solutions of the following minimization problem [Formula presented]
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/128195
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 14
  • ???jsp.display-item.citation.isi??? 14
social impact