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math.AP2021
Automatic quasiconvexity of homogeneous isotropic rank-one convex integrands
André Guerra, Jan Kristensen
We consider the class of non-negative rank-one convex isotropic integrands on which are also positively -homogeneous. If we prove, condit…
math.AP2021
Compensation phenomena for concentration effects via nonlinear elliptic estimates
André Guerra, Bogdan Raiţă, Matthew Schrecker
We study compensation phenomena for fields satisfying both a pointwise and a linear differential constraint. This effect takes the form of nonlinear elliptic estimates, where const…
math.AP2021★ 3 cited
Oscillations in wave map systems and homogenization of the Einstein equations in symmetry
André Guerra, Rita Teixeira da Costa
In 1989, Burnett conjectured that, under appropriate assumptions, the limit of highly oscillatory solutions to the Einstein vacuum equations is a solution of the Einstein--massless…