吉林大学学报（理学版）2026，Vol.64Issue(1)：43-48,6.DOI:10.13413/j.cnki.jdxblxb.2025099
具变号权函数的p-Laplace方程正径向解的全局分歧结构
Global Bifurcation Structure of Positive Radial Solutions for p-Laplacian Equations with Sign-Changing Weight Function
摘要
Abstract
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.关键词
p-Laplace方程/正径向解/变号权/分歧Key words
p-Laplacian equation/positive radial solution/sign-changing weight/bifurcation分类
数理科学引用本文复制引用
何志乾,张燕朋..具变号权函数的p-Laplace方程正径向解的全局分歧结构[J].吉林大学学报（理学版）,2026,64(1):43-48,6.基金项目
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). （批准号:12461035）
