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Learning Seminar on PDE and Applications

Estimates controlling a function by its radial derivative and applications to stable solutions

Inigo Erneta, Rutgers University

Location:  Hill 525
Date & time: Thursday, 12 October 2023 at 2:00PM - 3:20PM

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.

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