On Lin-Ni's conjecture in dimensions four and six

Abstract

We give negative answers to Lin-Ni's conjecture for any four and six dimensional domains. No condition on the symmetry, geometry nor topology of the domain is needed.

28 pages

References in corpus (1)

• The Lin-Ni's problem for mean convex domains

Cited by in corpus (1)

• Non-existence of extremals for the Adimurthi-Druet inequality