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PhD Qualifying Examination of听Mr. Fang Hong

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DATE: Thursday, December 7, 2023

TIME: 2:00 p.m.

PLACE: Burnside Hall, Room 1234

PRINCIPAL

EXAMINERS:听Topic 1: ABP method in second听order elliptic equations, Prof. Pengfei Guan

Topic 2:Classification of entire solutions to the critical p-Laplace equation, Prof. J茅r么me听V茅tois

Main reference: "On the classification of entire solutions to the critical p-Laplace equation" by Q. Ou

Secondary references: "On the critical p-Laplace equation" by G. Catino, D. D. Monticelli and A. Roncoroni and "Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities" (for the proof of Proposition 2.3 in Ou's paper)

"Interior regularity results for inhomogeneous anisotropic quasilinear equations" by C. A. Antonini. G. Ciraolo and A. Farina (for the regularity results used in Ou's paper, but the proofs of these results will not be asked)

ADDITIONAL Prof. Dmitry Jakobson

EXAMINERS: Prof. Niky Kamran

CHAIR: Prof. John Toth

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The examination is open to staff members and visitors but not to students.