Bifurcation method for solving multiple positive solutions to Henon equation

DOI10.1007/s11425-007-0198-xzbMath1181.35097OpenAlexW2005770985MaRDI QIDQ1042810

Zhao-xiang Li, Zhong-hua Yang, Hai-Long Zhu

Publication date: 7 December 2009

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-007-0198-x

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Galactic and stellar structure (85A15) Continuation and prolongation of solutions to PDEs (35B60) Bifurcations in context of PDEs (35B32) Semilinear elliptic equations (35J61) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (11)

Analysis and computation for a class of semilinear elliptic boundary value problems ⋮ Newton's method's basin of attraction for sign-changing solutions of concave and convex nonlinearities ⋮ Bifurcation method for solving multiple positive solutions to Henon equation on the unit cube ⋮ A new augmented singular transform and its partial Newton-correction method for finding more solutions ⋮ A new augmented singular transform and its partial Newton-correction method for finding more solutions to nonvariational quasilinear elliptic PDEs ⋮ Pseudospectral Methods for Computing the Multiple Solutions of the Schrodinger Equation ⋮ Numerical verification for asymmetric solutions of the Hénon equation on bounded domains ⋮ Newton's method based on bifurcation for solving multiple solutions of nonlinear elliptic equations ⋮ MIXED FOURIER-LEGENDRE SPECTRAL METHODS FOR THE MULTIPLE SOLUTIONS OF THE SCHRODINGER EQUATION ON THE UNIT DISK ⋮ An augmented singular transform and its partial Newton method for finding new solutions ⋮ A constrained gentlest ascent dynamics and its applications to finding excited states of Bose-Einstein condensates

Cites Work

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• Multiple boundary concentrating solutions to Dirichlet problem of Hénon equation
• On the Hénon equation: asymptotic profile of ground states. II
• A Minimax Method for Finding Multiple Critical Points and Its Applications to Semilinear PDEs
• NON-RADIAL GROUND STATES FOR THE HÉNON EQUATION
• A high-linking algorithm for sign-changing solutions of semilinear elliptic equations
• 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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