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.File in questo prodotto:
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