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 C1,α 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 operator and applications / Carozza, M.; Kristensen, J.; Passarelli di Napoli, A.. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 501:1(2021), p. 124170. [10.1016/j.jmaa.2020.124170]
A trace preserving operator and applications
Passarelli di Napoli A.
2021
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 C1,α 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
