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The classical Neumann problem for a class of mixed Hessian equations
Author(s) -
Chen Chuanqiang,
Chen Li,
Mei Xinqun,
Xiang Ni
Publication year - 2022
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/sapm.12429
Subject(s) - hessian equation , hessian matrix , mathematics , neumann boundary condition , class (philosophy) , boundary value problem , von neumann architecture , mathematical analysis , von neumann's theorem , pure mathematics , partial differential equation , computer science , banach space , artificial intelligence , first order partial differential equation , finite rank operator
In this paper, weestablish global C 2 estimates for a class of mixed Hessian equations with the Neumann boundary condition and obtain the existence theorem of k ‐admissible solutions for the classical Neumann problem of these mixed Hessian equations.