The Neumann problem for a class of fully nonlinear elliptic partial differential equations

2019/03/11 by Bin Deng, Deng, Bin · 3 citations
Mathematics · #35J25 #35J60 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35J25 #msc:35J60

paper · pdf · doi:10.48550/arxiv.1903.04231

arxiv created 2019/03/11 · arxiv updated 2019/03/12

Abstract

In this paper, we establish a global C² estimates to the Neumann problem for a class of fullly nonlinear elliptic equations. By the method of continuity, we establish the existence theorem of k-admissible solutions of the Neumann problems.

Cited by

• The Monge-Ampère equation for strictly (n-1)-convex functions with Neumann condition
• The Neumann problem of Hessian quotient equations
• The Neumann problem for a class of mixed complex Hessian equations

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