Existence and bifurcation of periodic solutions to the \(L_p\)-Minkowski problem with indefinite weight

DOI10.1016/j.jmaa.2023.128074MaRDI QIDQ6190953

Qigang Yuan, Chenyang Xia, Zhibo Cheng

Publication date: 8 February 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

existencebifurcationperiodic solution\(L_p\)-Minkowski problemindefinite singularity

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Degree theory for nonlinear operators (47H11) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Cites Work

• Unnamed Item
• Unnamed Item
• The two dimensional \(L_p\) Minkowski problem and nonlinear equations with negative exponents
• The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
• Periodic solution for nonlinear systems with \(p\)-Laplacian-like operators
• On solvability of two-dimensional \(L_{p}\)-Minkowski problem.
• Multiplicity of positive periodic solutions to superlinear repulsive singular equations
• Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem
• Periodic solutions of Liénard equations with singular forces of repulsive type
• A flow approach to the \(L_{-2}\) Minkowski problem
• Computation of Green's functions for boundary value problems with Mathematica
• Mathematical models with singularities. A zoo of singular creatures
• The planar \(L_{p}\)-Minkowski problem for \(0<p<1\)
• \(L_p\) Minkowski problem with not necessarily positive data
• Some results on second-order neutral functional differential equations with infinite distributed delay
• Numerical continuation methods for dynamical systems. Path following and boundary value problems.
• Periodic solutions of second order non-autonomous singular dynamical systems
• Remarks on the 2-Dimensional L_p-Minkowski Problem
• On the planar $L_p$ Minkowski problem with sign-changing data
• Green’s Functions in the Theory of Ordinary Differential Equations
• Self-similar solutions for the anisotropic affine curve shortening problem

This page was built for publication: Existence and bifurcation of periodic solutions to the \(L_p\)-Minkowski problem with indefinite weight