On the Bombieri-De Giorgi-Giusti minimal graph and it applications

On the Bombieri-De Giorgi-Giusti minimal graph and it applications

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Juncheng Wei, University of British Columbia
Fine Hall 314

I will discuss refinements to the Bombieri-De Giorgi-Giusti minimal graph and three applications: 1. De Giorgi's Conjecture for Allen-Cahn equation; 2. Caffarelli-Berestycki-Nirenberg Conjecture for overdetermined problem on epigraphs; 3. Translating graphs of mean curvature flows.