Some new and short proofs for a class of Caffarelli-Kohn-Nirenberg type inequalities

By David G. Costa. 2008

60 citations recorded by the source corpus.

Abstract In this note we provide simple and short proofs for a class of inequalities of Caffarelli–Kohn–Nirenberg type with sharp constants. Our approach suggests some definitions of weighted Sobolev spaces and their embedding into weighted L 2 spaces. These may be useful in studying solvability of problems involving new singular PDEs.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/01d6ec5d24912d76f13c9cb5048565da94a64180

Citations in the corpus

• On horizontal Hardy, Rellich, Caffarelli–Kohn–Nirenberg and p-sub-Laplacian inequalities on stratified groups (2016, unknown): “[10] and [18]) for G ≡ R with the sharp constant: |n− γ| p ∥∥∥∥ f ‖x‖ γ p ∥∥∥∥ p”