Bifurcation method for solving multiple positive solutions to boundary value problem of \(p\)-Henon equation on the unit disk

DOI10.1007/S10483-010-0411-6zbMath1203.35119OpenAlexW2061601756MaRDI QIDQ605125

Zhong-hua Yang, Zhao-xiang Li

Publication date: 23 November 2010

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-010-0411-6

zbMATH Keywords

multiple solutionsextended systemsymmetry-breaking bifurcationbranch switching\(p\)-Henon equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Bifurcations in context of PDEs (35B32) Positive solutions to PDEs (35B09) Symmetries, invariants, etc. in context of PDEs (35B06) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (4)

On a class of nonhomogeneous equations of Hénon-type: symmetry breaking and non radial solutions ⋮ Non radial solutions for a non homogeneous Hénon equation ⋮ A bifurcation method for solving multiple positive solutions to the boundary value problem of the Hénon equation on a unit disk ⋮ Newton's method based on bifurcation for solving multiple solutions of nonlinear elliptic equations

Cites Work

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• Boundary element monotone iteration scheme for semilinear elliptic partial differential equations
• A mountain pass method for the numerical solution of semilinear elliptic problems
• A Minimax Method for Finding Multiple Critical Points in Banach Spaces and Its Application to Quasi-linear Elliptic PDE

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