The Caffarelli-Kohn-Nirenberg Inequality for Submanifolds in Riemannian Manifolds

Márcio Batista, Heudson Mirandola, Feliciano Vitório

After works by Michael and Simon [10], Hoffman and Spruck [9], and White [14], the celebrated Sobolev inequality could be extended to submanifolds in a huge class of Riemannian man…