We deal with maps (Formula presented.) minimizing variational integrals (Formula presented.), where (Formula presented.), (Formula presented.) is convex and blows when (Formula presented.) : (Formula presented.). If such a blow up is a power of (Formula presented.), then we derive regularity for the minimizer (Formula presented.). We are able also to deal with integrals containing all the minors: (Formula presented.) with (Formula presented.).

Regularity for minimizers with positive Jacobian

Francesco Leonetti
Membro del Collaboration Group
;
Marta Macrì
Membro del Collaboration Group
;
2020-01-01

Abstract

We deal with maps (Formula presented.) minimizing variational integrals (Formula presented.), where (Formula presented.), (Formula presented.) is convex and blows when (Formula presented.) : (Formula presented.). If such a blow up is a power of (Formula presented.), then we derive regularity for the minimizer (Formula presented.). We are able also to deal with integrals containing all the minors: (Formula presented.) with (Formula presented.).
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/128496
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