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Abstract: Functional inequalities are among the most fundamental tools in analysis. One important example is the Poincaré inequality, where a function is controlled by its gradient. In this talk, we will discuss some new estimates of X. Cabré controlling a function by only its radial derivative. We will also give applications to the regularity of stable solutions to elliptic equations.

https://sites.math.rutgers.edu/~yyli/Learningseminar.htm