Personal tools

Theme for TIFR Centre For Applicable Mathematics, Bangalore

Abstract: Affine Sobolev inequality is a refinement of the usual Sobolev inequality $$\nabla u\|_p \ge \|u\|_{p^\ast}$$that possesses additional group of invariance, namely the SL(N).We give some new representations of the inequality for the case p=2,discuss the related variational equations and compactness properties of the embedding.