Convergence of a mountain pass type algorithm for strongly indefinite problems and systems

zbMath1288.35215arXiv1301.1456MaRDI QIDQ5409188

Christopher Grumiau, Christophe Troestler

Publication date: 14 April 2014

Full work available at URL: https://arxiv.org/abs/1301.1456

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zbMATH Keywords

minimaxsystemsSchrödinger equationspectral gapstrongly indefinite functionalNehari manifoldsteepest descent methodground state solutionsmountain pass algorithm

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational principles in infinite-dimensional spaces (58E30) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

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• Triangle

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