We construct a trace preserving operator which improves the integrability of functions in Sobolev classes refining the ones available in literature. As applications, we prove a C^1,\alpha partial regularity result for local minimizers of quasiconvex integral functionals satisfying non standard (p-q ) growth conditions in the borderline case p=n-1 and q=n , and a global integrability result for weak solutions to a nonlinear elliptic system.
A Trace Preserving Lemma and C^{1,\alpha} Regularity
CAROZZA M;
2017-01-01
Abstract
We construct a trace preserving operator which improves the integrability of functions in Sobolev classes refining the ones available in literature. As applications, we prove a C^1,\alpha partial regularity result for local minimizers of quasiconvex integral functionals satisfying non standard (p-q ) growth conditions in the borderline case p=n-1 and q=n , and a global integrability result for weak solutions to a nonlinear elliptic system.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
