Beck, Thomas; Canzani, Yaiza; Marzuola, Jeremy L. Uniform upper bounds on Courant sharp Neumann eigenvalues of chain domains. (English) Zbl 1543.35114 J. Geom. Anal. 34, No. 9, Paper No. 262, 39 p. (2024). MSC: 35P05 35P15 35J25 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tran, Hung; Zhou, Detang On the Morse index with constraints: an abstract formulation. (English) Zbl 1520.58006 J. Math. Anal. Appl. 526, No. 1, Article ID 127317, 16 p. (2023). Reviewer: Youssef Jabri (Oujda) MSC: 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Guangcun Parameterized splitting theorems and bifurcations for potential operators. II: Applications to quasi-linear elliptic equations and systems. (English) Zbl 1487.58008 Discrete Contin. Dyn. Syst. 42, No. 3, 1317-1368 (2022). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 58E07 35B32 58J55 35J35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lu, Guangcun Morse theory methods for a class of quasi-linear elliptic systems of higher order. (English) Zbl 1427.58004 Calc. Var. Partial Differ. Equ. 58, No. 4, Paper No. 134, 49 p. (2019). Reviewer: Dirk Schuetz (Durham) MSC: 58E05 35J62 49J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cox, Graham; Marzuola, Jeremy L. A symplectic perspective on constrained eigenvalue problems. (English) Zbl 1408.35106 J. Differ. Equations 266, No. 6, 2924-2952 (2019). Reviewer: Nikhil Savale (Köln) MSC: 35P15 35Q55 35C08 35J91 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Latushkin, Yuri; Sukhtaiev, Selim; Sukhtayev, Alim The Morse and Maslov indices for Schrödinger operators. (English) Zbl 1407.35073 J. Anal. Math. 135, No. 1, 345-387 (2018). Reviewer: Petar Popivanov (Sofia) MSC: 35J10 47F05 35P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Latushkin, Yuri; Sukhtaiev, Selim The Maslov index and the spectra of second order elliptic operators. (English) Zbl 06863449 Adv. Math. 329, 422-486 (2018). MSC: 47-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zelikin, Mikhail I. An analogue of Pontryagin’s maximum principle in problems of minimization of multiple integrals. (English. Russian original) Zbl 1388.49025 Izv. Math. 81, No. 5, 973-984 (2017); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 81, No. 5, 92-104 (2017). Reviewer: Gheorghe Aniculăesei (Iaşi) MSC: 49K20 49Q20 70H05 × Cite Format Result Cite Review PDF Full Text: DOI
Latushkin, Yuri; Sukhtayev, Alim Hadamard-type formulas via the Maslov form. (English) Zbl 1418.34161 J. Evol. Equ. 17, No. 1, 443-472 (2017). MSC: 34L40 34L15 34L20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schrader, Philip Morse theory for elastica. (English) Zbl 1352.58003 J. Geom. Mech. 8, No. 2, 235-256 (2016). MSC: 58E05 58E50 49J40 × Cite Format Result Cite Review PDF Full Text: DOI
Cox, Graham; Jones, Christopher K. R. T.; Latushkin, Yuri; Sukhtayev, Alim The Morse and Maslov indices for multidimensional Schrödinger operators with matrix-valued potentials. (English) Zbl 1351.35028 Trans. Am. Math. Soc. 368, No. 11, 8145-8207 (2016). Reviewer: S. G. Pyatkov (Khanty-Mansiysk) MSC: 35J10 35P05 35J25 47F05 53D12 34L40 70H12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Portaluri, Alessandro; Waterstraat, Nils Yet another proof of the Morse index theorem. (English) Zbl 1388.58009 Expo. Math. 33, No. 3, 378-386 (2015). MSC: 58E10 53C22 58J30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Portaluri, Alessandro; Waterstraat, Nils A Morse-Smale index theorem for indefinite elliptic systems and bifurcation. (English) Zbl 1310.35111 J. Differ. Equations 258, No. 5, 1715-1748 (2015); corrigendum ibid. 264, No. 4, 3067-3069 (2018). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35J57 35J61 53D12 58J30 35B32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Portaluri, Alessandro; Waterstraat, Nils On bifurcation for semilinear elliptic Dirichlet problems on geodesic balls. (English) Zbl 1318.35017 J. Math. Anal. Appl. 415, No. 1, 240-246 (2014). Reviewer: Peixuan Weng (Guangzhou) MSC: 35J25 35B32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dalbono, Francesca; Portaluri, Alessandro Morse-Smale index theorems for elliptic boundary deformation problems. (English) Zbl 1245.35020 J. Differ. Equations 253, No. 2, 463-480 (2012). MSC: 35J25 53D12 47A53 35P15 × Cite Format Result Cite Review PDF Full Text: DOI
Schrader, Philip; Noakes, Lyle Conditional extremals in complete Riemannian manifolds. (English) Zbl 1257.58006 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 4, 2177-2188 (2012). Reviewer: Duanzhi Zhang (Ann Arbor) MSC: 58E05 53C21 34D23 49K05 × Cite Format Result Cite Review PDF Full Text: DOI
Zelikin, M. I. Field theories for multiple integrals. (English. Russian original) Zbl 1290.49037 J. Math. Sci., New York 177, No. 2, 270-298 (2011); translation from Sovrem. Mat. Prilozh. 69 (2011). MSC: 49K10 × Cite Format Result Cite Review PDF Full Text: DOI
Misiołek, Gerard; Preston, Stephen C. Fredholm properties of Riemannian exponential maps on diffeomorphism groups. (English) Zbl 1183.58006 Invent. Math. 179, No. 1, 191-227 (2010). Reviewer: Hiroaki Shimomura (Tokyo) MSC: 58D05 58B25 35Q35 37K65 × Cite Format Result Cite Review PDF Full Text: DOI
Sato, Jocelino; de Souza Neto, Vicente Francisco Complete and stable \(O(p+1) \times O(q+1)\)-invariant hypersurfaces with zero scalar curvature in Euclidean space \(\mathbb R^{p+q+2}\). (English) Zbl 1116.53010 Ann. Global Anal. Geom. 29, No. 3, 221-240 (2006). Reviewer: Ivko Dimitric (Uniontown) MSC: 53A10 53C42 49Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Long, Yiming; Zhang, Duanzhi; Zhu, Chaofeng Multiple brake orbits in bounded convex symmetric domains. (English) Zbl 1118.58006 Adv. Math. 203, No. 2, 568-635 (2006). Reviewer: Stefan Haller (Wien) MSC: 58E05 70H05 34C25 × Cite Format Result Cite Review PDF Full Text: DOI
Andreadis, Ioannis; Pelletier, Fernand; Pnevmatikos, Spyros Fredholm quadratic sections. (Sections quadratiques fredholmiennes.) (French) Zbl 0942.58012 Bull. Sci. Math. 123, No. 3, 157-180 (1999). Reviewer: Corina Mohorianu (Iaşi) MSC: 58B15 53C99 × Cite Format Result Cite Review PDF Full Text: DOI
Swanson, R. C. Fredholm intersection theory and elliptic boundary deformation problems. I. II. (English) Zbl 0347.35076 J. Differ. Equations 28, 189-201, 202-219 (1978). MSC: 35R20 47A53 35J15 35J25 35J40 × Cite Format Result Cite Review PDF