Pointwise estimates for minimizers of some non-uniformly degenerate functionals

Vittorio Scornazzani

Displaying similar documents to “Pointwise estimates for minimizers of some non-uniformly degenerate functionals”

Pointwise estimates for a class of strongly degenerate elliptic operators : a geometrical approach

B. Franchi, R. Serapioni (1987)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Gehring's lemma for metrics and higher integrability of the gradient for minimizers of noncoercive variational functionals

Bruno Franchi, Francesco Serra Cassano (1996)

Studia Mathematica

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We prove a higher integrability result - similar to Gehring's lemma - for the metric space associated with a family of Lipschitz continuous vector fields by means of sub-unit curves. Applications are given to show the higher integrability of the gradient of minimizers of some noncoercive variational functionals.

Hölder continuity results for a class of functionals with non-standard growth

Michela Eleuteri (2004)

Bollettino dell'Unione Matematica Italiana

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We prove regularity results for real valued minimizers of the integral functional $\int f (x, u, D u)$ under non-standard growth conditions of $p (x)$ -type, i.e. $L^{- 1} {|z|}^{p (x)} \leq f (x, s, z) \leq L (1 + {|z|}^{p (x)})$ under sharp assumptions on the continuous function $p (x) > 1$ .