Cintia Pacchiano Camacho

On the Lavrentiev Gap for Manifold-Valued Maps

Abstract We characterize necessary and sufficient conditions ensuring approximation by smooth maps in the Sobolev space $$W^{1,\varphi }$$ W 1 , φ between suitable compact manifolds, where the prototypical example of Young function $$\varphi $$ φ is the double-phase integrand.

Boundary regularity for quasiminima of double-phase problems on metric spaces

We give a sufficient condition for Hölder continuity at a boundary point for quasiminima of double-phase functionals of $p,q$-Laplace type, in the setting of metric measure spaces equipped with a doubling measure and supporting a Poincaré inequality. We use a variational approach...