Existence and regularity for critical anisotropic equations with critical directions

Jérôme Vétois (1)

1 JAD - Laboratoire Jean Alexandre Dieudonné

We establish existence and regularity results for doubly critical anisotropic equations in domains of the Euclidean space. In particular, we answer a question posed by Fragala-Gazzola-Kawohl [24] when the maximum of the anisotropic con guration coincides with the critical Sobolev exponent.

Domaines: Equations aux dérivées partielles [math.AP]

Jérôme Vétois. Existence and regularity for critical anisotropic equations with critical directions. Advances in Differential Equations, 2011, 16 (1/2), pp.61-83. ⟨hal-00769043⟩