Patra, Suchismita; Srinivas Kumar, V. V. K. A local min-orthogonal based numerical method for computing multiple coexisting solutions to cooperative \(p\)-Laplacian systems. (English) Zbl 1479.65031 Appl. Numer. Math. 169, 221-242 (2021). MSC: 65N30 65N99 35B38 35J92 35D30 49J35 58E05 PDFBibTeX XMLCite \textit{S. Patra} and \textit{V. V. K. Srinivas Kumar}, Appl. Numer. Math. 169, 221--242 (2021; Zbl 1479.65031) Full Text: DOI
Yao, Xudong; Li, Zhujun 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. (English) Zbl 1447.58016 J. Comput. Appl. Math. 382, Article ID 113076, 20 p. (2021). MSC: 58E05 58E30 35J61 65N12 65N30 PDFBibTeX XMLCite \textit{X. Yao} and \textit{Z. Li}, J. Comput. Appl. Math. 382, Article ID 113076, 20 p. (2021; Zbl 1447.58016) Full Text: DOI
Yao, Xudong A Ljusternik-Schnirelman minimax algorithm for finding equality constrained saddle points and its application for solving eigen problems. I. Algorithm and global convergence. (English) Zbl 1421.58004 Adv. Comput. Math. 45, No. 1, 269-310 (2019). Reviewer: Gaetano Siciliano (São Paulo) MSC: 58E05 58E30 35P30 65N12 65N30 PDFBibTeX XMLCite \textit{X. Yao}, Adv. Comput. Math. 45, No. 1, 269--310 (2019; Zbl 1421.58004) Full Text: DOI
Yao, Xudong Ljusternik-Schnirelman minimax algorithms and an application for finding multiple negative energy solutions of semilinear elliptic Dirichlet problem involving concave and convex nonlinearities. I: Algorithms and convergence. (English) Zbl 1342.35032 J. Sci. Comput. 66, No. 1, 19-40 (2016). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35B30 35J61 58E05 58E30 35J91 65N12 65N30 PDFBibTeX XMLCite \textit{X. Yao}, J. Sci. Comput. 66, No. 1, 19--40 (2016; Zbl 1342.35032) Full Text: DOI
Chen, Xianjin; Zhou, Jianxin Estimate of Morse index of cooperative elliptic systems and its application to spatial vector solitons. (English) Zbl 1310.35006 J. Comput. Appl. Math. 281, 169-181 (2015). MSC: 35A15 58E05 58E30 PDFBibTeX XMLCite \textit{X. Chen} and \textit{J. Zhou}, J. Comput. Appl. Math. 281, 169--181 (2015; Zbl 1310.35006) Full Text: DOI
Chen, Xianjin; Zhou, Jianxin A local min-max-orthogonal method for finding multiple solutions to noncooperative elliptic systems. (English) Zbl 1200.35094 Math. Comput. 79, No. 272, 2213-2236 (2010). MSC: 35J47 35A15 58E05 58E30 65N30 65N38 PDFBibTeX XMLCite \textit{X. Chen} and \textit{J. Zhou}, Math. Comput. 79, No. 272, 2213--2236 (2010; Zbl 1200.35094) Full Text: DOI