Limiting Sobolev inequalities and the 1-biharmonic operator
Limiting Sobolev inequalities and the 1-biharmonic operator
Abstract In this article we present recent results on optimal embeddings, and associated PDEs, of the space of functions whose distributional Laplacian belongs to L 1 . We discuss sharp embedding inequalities which allow to improve the optimal summability results for solutions of Poisson equations with L 1 -data by …