Continuation of global solution curves using global parameters

DOI10.1016/J.CAM.2023.115621arXiv2001.00616OpenAlexW2996907983MaRDI QIDQ6126049

Philip Korman, Dieter S. Schmidt

Publication date: 9 April 2024

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.00616

zbMATH Keywords

radial solutionsglobal solution curvesglobal parameters``shoot-and-scale method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical methods for partial differential equations, boundary value problems (65N99)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the structure of solutions of an equation in catalysis theory when a parameter is large
• On Lane-Emden type systems
• Uniqueness of positive solutions of semilinear equations in \(R^ n\).
• Symmetry and related properties via the maximum principle
• Global solution branches of two point boundary value problems
• Uniqueness of global positive solution branches of nonlinear elliptic problems
• Exact multiplicity of positive solutions for a class of semilinear problem. II
• Global solution curves for first order periodic problems, with applications
• A computer assisted study of uniqueness of nodal ground state solutions
• Curves of equiharmonic solutions, and problems at resonance
• An oscillatory bifurcation from infinity, and from zero
• Quasilinear Dirichlet problems driven by positive sources
• Existence and multiplicity results for a semilinear elliptic problem
• Exact multiplicity and numerical computation of solutions for two classes of non-autonomous problems with concave-convex nonlinearities
• Regularization of radial solutions of p-Laplace equations, and computations using infinite series
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Localized solutions of elliptic equations: loitering at the hilltop
• Computation of radial solutions of semilinear equations
• A Counterexample to the Nodal Domain Conjecture and a Related Semilinear Equation
• Uniqueness and exact multiplicity of solutions for a class of fourth-order semilinear problems

This page was built for publication: Continuation of global solution curves using global parameters