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 partial regularity result for local minimizers of quasiconvex integral functionals satisfying non standard 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 operator and applications

Carozza M.;
2021-01-01

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 partial regularity result for local minimizers of quasiconvex integral functionals satisfying non standard 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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12070/45978
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