O‘zbekiston matematika jurnali 69-jild 3-son (2025) · 114-120-betlar
Solution of the Monge-Ampere equation in a ring domain
Kholmurodova G.N.
Annotatsiya
The problem of recovering surfaces by the total or extrinsic curvature is related to the solution of the nonlinear elliptic equation of the Monge-Ampere type. Using the geometric method, the existence and uniqueness of a solution to the Monge-Ampere equation is shown in the problem of recovering a surface by its total curvature in isotropic space. In this article, an exact solution to the Dirichlet problem for a ring domain is found if the total curvature function is given exact form. In this, isotropic space geometry is used.
Total curvature, Monge-Ampere equation, ring domain, isotropic space, extrinsic curvature, boundary conditions.
Metadata manbasi: jurnal OAI-PMH arxivi · Sindex toʻliq matnni saqlamaydi, manbaga havola beradi.