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math.AP2024
A priori estimates for parabolic Monge-Ampère type equations
Yang Zhou, Ruixuan Zhu
We prove the existence and regularity of convex solutions to the first initial-boundary value problem for the parabolic Monge-Ampère equationn $$ \left\{\begin{eqnarray} &&-u_t+\de…
math.AP2024
Classification Theorem For Positive Critical Points Of Sobolev Trace Inequality
Yang Zhou
We consider the Euler-Lagrange equation of Sobolev trace inequality and prove several classification results. Exploiting the moving sphere method, it has been shown, when , po…