Estimate of Morse index of cooperative elliptic systems and its application to spatial vector solitons

DOI10.1016/j.cam.2014.11.046zbMath1310.35006OpenAlexW2091904415MaRDI QIDQ2515105

Xianjin Chen, Jian Xin Zhou

Publication date: 11 February 2015

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

Full work available at URL: https://doi.org/10.1016/j.cam.2014.11.046

zbMATH Keywords

multiple solutionssaddle pointcooperative elliptic systemlocal MIN-orthogonal methodspatial vector soliton

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational principles in infinite-dimensional spaces (58E30)

Related Items (3)

A minimax algorithm based on Newton's method and an application for finding multiple solutions of p‐area problems ⋮ A Morse index formula for minimax type saddle points by a Ljusternik-Schnirelman minimax algorithm and its application in computation of multiple solutions of semilinear elliptic equation ⋮ A new augmented singular transform and its partial Newton-correction method for finding more solutions to nonvariational quasilinear elliptic PDEs

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