具变号权函数的p-Laplace方程正径向解的全局分歧结构OA
Global Bifurcation Structure of Positive Radial Solutions for p-Laplacian Equations with Sign-Changing Weight Function
基于分歧理论研究一类带Dirichlet边界条件的拟线性椭圆边值问题正径向解的全局结构.特别地,通过引入临界指数f0,f∞,在f0∈(0,∞)且f∞=0和f0=∞且f∞=0两种典型情形下,证明了存在从分歧点发出的无界连通分支,且该分支最终沿λ轴方向渐近延伸至无穷远处.
We investigated the global structure of positive radial solutions for a class of quasilinear elliptic boundary value problems with Dirichlet boundary conditions based on bifurcation theory.Specifically,by introducing two critical exponents f0 and f∞,under two typical cases of f0 ∈(0,∞),f∞=0 and f0=∞,f∞=0,we prove the existence of unbounded connected branches emanating from bifurcation points,which utimately asymptotically extend to infinity along the λ-axis.
何志乾;张燕朋
青海大学数理学院,西宁 810016白银矿冶职业技术学院公共教学部,甘肃白银 730900
数理科学
p-Laplace方程正径向解变号权分歧
p-Laplacian equationpositive radial solutionsign-changing weightbifurcation
《吉林大学学报（理学版）》 2026 (1)
43-48,6
国家自然科学基金(批准号:12461035)和青海省应用基础研究项目(批准号:2025-ZJ-722).
评论