Hilbert’s $$19{\text {th}}$$ problem revisited
نویسندگان
چکیده
In this survey article we revisit Hilbert’s 19th problem concerning the regularity of minimizers variational integrals. We first discuss classical theory (that is, statement and resolution in all dimensions). then recent results degenerate convex functionals. Finally, some open problems. Exercises are included for benefit researchers who entering subject.
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ژورنال
عنوان ژورنال: Bollettino Dell'unione Matematica Italiana
سال: 2022
ISSN: ['2198-2759', '1972-6724']
DOI: https://doi.org/10.1007/s40574-021-00315-3