We prove a C1,1-regularity result for minimizers of the functional (Formula presented.) provided I⊂R is a bounded open interval and ‖g‖∞ is sufficiently small, thus partially establishing a De Giorgi conjecture in dimension one and codimension one. We also extend our result to a suitable anisotropic setting.
A De Giorgi conjecture on the regularity of minimizers of Cartesian area in 1D
Bellettini, Giovanni
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2026-01-01
Abstract
We prove a C1,1-regularity result for minimizers of the functional (Formula presented.) provided I⊂R is a bounded open interval and ‖g‖∞ is sufficiently small, thus partially establishing a De Giorgi conjecture in dimension one and codimension one. We also extend our result to a suitable anisotropic setting.File in questo prodotto:
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