Morrey spaces and local regularity of minimizers of variational integrals

We study the regularity (Hölder continuity, BMO, higher summability) of local minimizers of integral functionals of the Calculus of Variations in the scalar case. We assume that the integrand satisfies a growth condition involving a function which belongs to a certain Morrey space. No differentiabil...

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Bibliographic Details
Main Authors: G. Cupini, R. Petti
Format: Article
Language:English
Published: Sapienza Università Editrice 2001-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2001/121-141.pdf