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I am a new researcher in mathematics and I work on convexity. Are convexity and pseudoconvexity related topics and in which respect to PDE theory ? One of the important results in PDE theory is the Garding and Fefferman-Phon inequalities, so, I am asking if convexity or pseudoconvexity has an impact on these results.

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    $\begingroup$ You'll find a lot of this on the book of the master: Lars Hörmander, notions of convexity. $\endgroup$
    – alvarezpaiva
    Sep 12, 2013 at 15:02

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