Maria Alessandra Ragusa

Anisotropic variable exponent Sobolev spaces and applications to elliptic equations with critical growth

Abstract We establish critical embeddings for anisotropic Sobolev spaces with variable exponents, resolving, under log-Hölder continuity supplemented by finite Sobolev regularity and a quantitative integrability-gap condition, an open problem raised by Fan. We derive a Poincaré-t...