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Friday, February 21, 2020 - 14:15 in D5-153


The Hölder regularity for gradients of solutions to harmonic type systems

A talk in the Oberseminar Analysis series by
Moonyeon Hong

Abstract: In this talk, I'll talk about some harmonic type approximation lemmas: harmonic approximation lemma, p-harmonic approximation lemma, and φ-harmonic approximation lemma. For each case, we can apply the approximation lemma to find the regularity of the system with critical growth. Hence, we can prove that solutions and its gradients of each harmonic type system with critical growth are Hölder continuous.



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