Saddle critical point analysis and computation

DOI10.1016/J.NA.2005.03.008zbMath1153.35331OpenAlexW2148259418MaRDI QIDQ999489

Jian Xin Zhou

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.03.008

zbMATH Keywords

instability analysisnumerical computationmultiple saddle points

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence of solutions for minimax problems (49J35) Variational methods for second-order elliptic equations (35J20)

Cites Work

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• On a superlinear elliptic equation
• Critical point theory and Hamiltonian systems
• Minimax solutions of the Ginzburg-Landau equations
• A local min-orthogonal method for finding multiple saddle points.
• Infinite dimensional Morse theory and multiple solution problems
• On the existence of positive entire solutions of a semilinear elliptic equation
• Minimax theorems
• Dual variational methods in critical point theory and applications
• A Minimax Method for Finding Multiple Critical Points and Its Applications to Semilinear PDEs
• Unified Convergence Results on a Minimax Algorithm for Finding Multiple Critical Points in Banach Spaces
• A high-linking algorithm for sign-changing solutions of semilinear elliptic equations
• Instability analysis of saddle points by a local minimax method
• Convergence Results of a Local Minimax Method for Finding Multiple Critical Points
• A mountain pass method for the numerical solution of semilinear elliptic problems

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