Optimal embeddings of Sobolev type spaces into spaces of continuous functions are established. On extending the classical Morrey embedding on the Hölder continuity of functions with weak derivatives ...

Q1. Shown below are the graph of two functions What can one conclude from the above graphs? 1) The product of a differentiable function and a non-differentiable function is ALWAYS differentiable.

Finally we show that the critical temperature for the Ising model with no external field on the infinite clusters of Bernoulli percolation with parameter p, on an arbitrary bounded degree graph, is a ...