Global structure of multiple positive solutions for the kth mean curvature in Minkowski space

被引：0

作者：

Chen, Tianlan ^{[1
]}

Goodrich, Christopher S. ^{[2
]}

机构：

[1] Northwest Normal Univ, Dept Math, Lanzhou 730070, Peoples R China

[2] UNSW Sydney, Sch Math & Stat, Sydney, NSW 2052, Australia

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2025年 / 27卷 / 02期

基金：

美国国家科学基金会;

关键词：

Bifurcation curve; kth mean curvature; positive solution; Calabi-Bernstein type asymptotic; PRESCRIBED SCALAR CURVATURE; DIRICHLET PROBLEM; RADIAL SOLUTIONS; NONNEGATIVE SOLUTIONS; HYPERSURFACES; OPERATOR; BIFURCATION; EXISTENCE; EQUATIONS; GRAPHS;

D O I：

10.1007/s11784-025-01201-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We apply bifurcation theories to construct repeated S-shaped and Sigma-shaped global unbounded continua of positive solutions of the following kth mean curvature problems in Minkowski space -(r(N-k)(u '/root 1-u '(2))(k))' = lambda N/C(N)(k)r(N-1) H-k(r, u), r is an element of (0, R), u(0) = 0 = u '(R), where 3 <= k < N < 2k with k, N being integers and C-N(k) = N!/(N-k)!k! the combinational constant. Moreover, Calabi-Bernstein type asymptotic of one-sign solutions are given.

引用

页数：19

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