Judith Campos Cordero

most citedPartial regularity for local minimizers of variational integrals with lower order terms

3 citations · 3 across the 1 of their papers we have counts for

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3 papers

math.AP2021★ 3 cited

Partial regularity for local minimizers of variational integrals with lower order terms

Judith Campos Cordero

We consider functionals of the form $F (u) := \int_{Ω} F (x, u, \nabla u) d x,$ where $Ω \subseteq R^{n}$ is open and bounded. The integrand $F\colonΩ\times\mat…

math.AP2016

Boundary regularity and sufficient conditions for strong local minimizers

Judith Campos Cordero

In this paper we present a new proof of the sufficiency theorem for strong local minimizers concerning $C^{1}$ -extremals at which the second variation is strictly positive. The resul…

math.AP2016

Necessary and sufficient conditions for the strong local minimality of $C^{1}$ extremals on a class of non-smooth domains

Judith Campos Cordero, Konstantinos Koumatos

Motivated by applications in materials science, a set of quasiconvexity at the boundary conditions is introduced for domains that are locally diffeomorphic to cones. These conditio…

Partial regularity for local minimizers of variational integrals with lower order terms

Boundary regularity and sufficient conditions for strong local minimizers

Necessary and sufficient conditions for the strong local minimality of C1 extremals on a class of non-smooth domains

Necessary and sufficient conditions for the strong local minimality of $C^{1}$ extremals on a class of non-smooth domains