Fusco, Giorgio On the existence of \(N\)-junctions for a symmetric nonnegative potential with \(N+1\) zeros. (English) Zbl 07818498 J. Dyn. Differ. Equations 36, No. 1, Suppl., S387-S414 (2024). Reviewer: Vincenzo Vespri (Firenze) MSC: 35B06 35J47 37C99 PDFBibTeX XMLCite \textit{G. Fusco}, J. Dyn. Differ. Equations 36, No. 1, S387--S414 (2024; Zbl 07818498) Full Text: DOI
Liu, Guanggang; Li, Yong; Yang, Xue Existence and multiplicity of rotating periodic solutions for Hamiltonian systems with a general twist condition. (English) Zbl 07707638 J. Differ. Equations 369, 229-252 (2023). Reviewer: Diogo Pinheiro (New York) MSC: 37J46 37B30 70H12 PDFBibTeX XMLCite \textit{G. Liu} et al., J. Differ. Equations 369, 229--252 (2023; Zbl 07707638) Full Text: DOI
Fan, Zhiping; Zhang, Duanzhi Multiple subharmonic solutions in Hamiltonian system with symmetries. (English) Zbl 1510.70042 J. Differ. Equations 351, 1-48 (2023). MSC: 70H05 70H33 37J06 PDFBibTeX XMLCite \textit{Z. Fan} and \textit{D. Zhang}, J. Differ. Equations 351, 1--48 (2023; Zbl 1510.70042) Full Text: DOI
Liu, Yan; Guo, Fei Multiplicity of periodic solutions for second-order perturbed Hamiltonian systems with local superquadratic conditions. (English) Zbl 1505.37069 Commun. Pure Appl. Anal. 21, No. 10, 3247-3261 (2022). MSC: 37J40 37J46 70H09 70H12 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{F. Guo}, Commun. Pure Appl. Anal. 21, No. 10, 3247--3261 (2022; Zbl 1505.37069) Full Text: DOI
Li, Xiaorui; Zhang, Duanzhi Minimal \(P\)-cyclic periodic brake orbits in Hamiltonian systems. (English) Zbl 1507.37072 Discrete Contin. Dyn. Syst. 42, No. 11, 5591-5611 (2022). MSC: 37J12 37J46 53D12 PDFBibTeX XMLCite \textit{X. Li} and \textit{D. Zhang}, Discrete Contin. Dyn. Syst. 42, No. 11, 5591--5611 (2022; Zbl 1507.37072) Full Text: DOI
Zhou, Ben-Xing; Liu, Chungen; Zhou, Zhan; Zhang, Xiaofei Minimal \(\mathcal{M} \)-symmetric periodic solutions of general Hamiltonian systems and delay differential equations. (English) Zbl 1506.37083 J. Differ. Equations 329, 1-30 (2022). Reviewer: Thomas J. Bartsch (Gießen) MSC: 37J46 37B30 34K13 PDFBibTeX XMLCite \textit{B.-X. Zhou} et al., J. Differ. Equations 329, 1--30 (2022; Zbl 1506.37083) Full Text: DOI
Chen, Yutong; Su, Jiabao; Sun, Mingzheng; Tian, Rushun Multiple solutions of some elliptic systems with linear couplings. (English) Zbl 1524.35227 Acta Math. Sci., Ser. B, Engl. Ed. 41, No. 4, 1141-1150 (2021). MSC: 35J57 35B38 37B30 PDFBibTeX XMLCite \textit{Y. Chen} et al., Acta Math. Sci., Ser. B, Engl. Ed. 41, No. 4, 1141--1150 (2021; Zbl 1524.35227) Full Text: DOI
Dipierro, Serena; Poggesi, Giorgio; Valdinoci, Enrico A quantitative rigidity result for a two-dimensional Frenkel-Kontorova model. (English) Zbl 1492.37068 Physica D 419, Article ID 132871, 44 p. (2021). MSC: 37L60 34C15 35B05 35A30 82B20 PDFBibTeX XMLCite \textit{S. Dipierro} et al., Physica D 419, Article ID 132871, 44 p. (2021; Zbl 1492.37068) Full Text: DOI arXiv
Chen, Yingying Multiple solutions for super-linear symmetric operator equations. (English) Zbl 07367147 Optimization 70, No. 5-6, 1085-1099 (2021). Reviewer: Jürgen Appell (Würzburg) MSC: 47J05 58E05 34C25 37J45 37J10 PDFBibTeX XMLCite \textit{Y. Chen}, Optimization 70, No. 5--6, 1085--1099 (2021; Zbl 07367147) Full Text: DOI
Fan, Zhiping; Zhang, Duanzhi Minimal period solutions in asymptotically linear Hamiltonian system with symmetries. (English) Zbl 1473.37077 Discrete Contin. Dyn. Syst. 41, No. 5, 2095-2124 (2021). Reviewer: Alexander Prokopenya (Warszawa) MSC: 37J46 37J51 70H33 70H12 70H14 PDFBibTeX XMLCite \textit{Z. Fan} and \textit{D. Zhang}, Discrete Contin. Dyn. Syst. 41, No. 5, 2095--2124 (2021; Zbl 1473.37077) Full Text: DOI
García-Azpeitia, Carlos; Lessard, Jean-Philippe Free vibrations in a wave equation modeling MEMS. (English) Zbl 1477.35014 SIAM J. Appl. Dyn. Syst. 19, No. 4, 2749-2782 (2020). Reviewer: Alois Steindl (Wien) MSC: 35B10 35B32 37M20 37N15 74H45 35L72 35L20 PDFBibTeX XMLCite \textit{C. García-Azpeitia} and \textit{J.-P. Lessard}, SIAM J. Appl. Dyn. Syst. 19, No. 4, 2749--2782 (2020; Zbl 1477.35014) Full Text: DOI arXiv
Bountis, Anastasios; Kaloudis, Konstantinos; Oikonomou, Thomas; Manda, Bertin Many; Skokos, Charalampos Stability properties of 1-dimensional Hamiltonian lattices with nonanalytic potentials. (English) Zbl 1465.37084 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 15, Article ID 2030047, 19 p. (2020). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 37K60 37K45 37J25 37J46 PDFBibTeX XMLCite \textit{A. Bountis} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 15, Article ID 2030047, 19 p. (2020; Zbl 1465.37084) Full Text: DOI arXiv
Torres, César; Pichardo, Oliverio Multiplicity of solutions for a class of perturbed fractional Hamiltonian systems. (English) Zbl 1479.34016 Bull. Malays. Math. Sci. Soc. (2) 43, No. 6, 3897-3922 (2020). Reviewer: Abderrazek Benhassine (Monastir) MSC: 34A08 37J40 58E50 34L05 PDFBibTeX XMLCite \textit{C. Torres} and \textit{O. Pichardo}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 6, 3897--3922 (2020; Zbl 1479.34016) Full Text: DOI
Liu, Yan; Guo, Fei Multiplicity of periodic solutions for a class of second-order perturbed Hamiltonian systems. (English) Zbl 1477.34066 J. Math. Anal. Appl. 491, No. 2, Article ID 124386, 13 p. (2020). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 34C25 37J40 34D10 37C60 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{F. Guo}, J. Math. Anal. Appl. 491, No. 2, Article ID 124386, 13 p. (2020; Zbl 1477.34066) Full Text: DOI
Bu, Yucheng Periodic perturbations of linear systems at resonance. (English) Zbl 1460.37062 Indian J. Pure Appl. Math. 50, No. 1, 225-238 (2019). MSC: 37J51 37J46 58E05 PDFBibTeX XMLCite \textit{Y. Bu}, Indian J. Pure Appl. Math. 50, No. 1, 225--238 (2019; Zbl 1460.37062) Full Text: DOI
Liu, Guanggang; Li, Yong; Yang, Xue Existence and multiplicity of rotating periodic solutions for resonant Hamiltonian systems. (English) Zbl 1524.37055 J. Differ. Equations 265, No. 4, 1324-1352 (2018). MSC: 37J46 37J51 70H12 PDFBibTeX XMLCite \textit{G. Liu} et al., J. Differ. Equations 265, No. 4, 1324--1352 (2018; Zbl 1524.37055) Full Text: DOI
Liu, Guanggang; Li, Yong; Yang, Xue Rotating periodic solutions for super-linear second order Hamiltonian systems. (English) Zbl 1461.37065 Appl. Math. Lett. 79, 73-79 (2018). MSC: 37J46 37J51 34C25 PDFBibTeX XMLCite \textit{G. Liu} et al., Appl. Math. Lett. 79, 73--79 (2018; Zbl 1461.37065) Full Text: DOI
Wang, Zhiyong; Zhang, Jihui New existence results on periodic solutions of non-autonomous second order Hamiltonian systems. (English) Zbl 1461.37067 Appl. Math. Lett. 79, 43-50 (2018). MSC: 37J46 37C60 34C25 70H12 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{J. Zhang}, Appl. Math. Lett. 79, 43--50 (2018; Zbl 1461.37067) Full Text: DOI
Boulmezaoud, Tahar Z.; Cieutat, Philippe; Daniilidis, Aris Gradient flows, second-order gradient systems and convexity. (English) Zbl 1404.26016 SIAM J. Optim. 28, No. 3, 2049-2066 (2018). Reviewer: József Sándor (Cluj-Napoca) MSC: 26B25 34C12 34D05 34G20 37C10 49J40 PDFBibTeX XMLCite \textit{T. Z. Boulmezaoud} et al., SIAM J. Optim. 28, No. 3, 2049--2066 (2018; Zbl 1404.26016) Full Text: DOI arXiv
Bonanno, Gabriele; Livrea, Roberto; Schechter, Martin Some notes on a superlinear second order Hamiltonian system. (English) Zbl 1378.37107 Manuscr. Math. 154, No. 1-2, 59-77 (2017). MSC: 37J45 34C25 34B15 PDFBibTeX XMLCite \textit{G. Bonanno} et al., Manuscr. Math. 154, No. 1--2, 59--77 (2017; Zbl 1378.37107) Full Text: DOI
Liu, Chungen; Tang, Shanshan Subharmonic \(P^{l}\)-solutions of first order Hamiltonian systems. (English) Zbl 1373.37132 J. Math. Anal. Appl. 453, No. 1, 338-359 (2017). MSC: 37J05 37J45 34C46 53D12 PDFBibTeX XMLCite \textit{C. Liu} and \textit{S. Tang}, J. Math. Anal. Appl. 453, No. 1, 338--359 (2017; Zbl 1373.37132) Full Text: DOI
McLellan, Brenda; Medina, Luciano; Xu, Chenmei; Yang, Yisong Critical pull-in curves of MEMS actuators in presence of Casimir force. (English) Zbl 07775135 ZAMM, Z. Angew. Math. Mech. 96, No. 12, 1406-1422 (2016). MSC: 34C60 34C15 37N15 PDFBibTeX XMLCite \textit{B. McLellan} et al., ZAMM, Z. Angew. Math. Mech. 96, No. 12, 1406--1422 (2016; Zbl 07775135) Full Text: DOI
Zhang, Liang; Tang, Xianhua; Chen, Yi Infinitely many homoclinic solutions for a class of indefinite perturbed second-order Hamiltonian systems. (English) Zbl 1367.34052 Mediterr. J. Math. 13, No. 5, 3673-3690 (2016). Reviewer: Gheorghe Tigan (Timisoara) MSC: 34C37 37J45 34E10 34C14 PDFBibTeX XMLCite \textit{L. Zhang} et al., Mediterr. J. Math. 13, No. 5, 3673--3690 (2016; Zbl 1367.34052) Full Text: DOI
Shan, Yuan Homoclinic orbits for first order Hamiltonian systems with some twist conditions. (English) Zbl 1361.37062 Acta Math. Sin., Engl. Ser. 31, No. 11, 1725-1738 (2015). MSC: 37J45 58J20 58E05 47A75 15A63 PDFBibTeX XMLCite \textit{Y. Shan}, Acta Math. Sin., Engl. Ser. 31, No. 11, 1725--1738 (2015; Zbl 1361.37062) Full Text: DOI
Li, Chong The study of minimal period estimates for brake orbits of autonomous subquadratic Hamiltonian systems. (English) Zbl 1360.37155 Acta Math. Sin., Engl. Ser. 31, No. 10, 1645-1658 (2015). MSC: 37J45 70H05 PDFBibTeX XMLCite \textit{C. Li}, Acta Math. Sin., Engl. Ser. 31, No. 10, 1645--1658 (2015; Zbl 1360.37155) Full Text: DOI
Liu, Chungen; Tang, Shanshan Iteration inequalities of the Maslov \(P\)-index theory with applications. (English) Zbl 1358.37104 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 127, 215-234 (2015). MSC: 37J45 34C25 53D12 PDFBibTeX XMLCite \textit{C. Liu} and \textit{S. Tang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 127, 215--234 (2015; Zbl 1358.37104) Full Text: DOI
Wang, Zhiyong; Xiao, Jianzhong On periodic solutions of subquadratic second order non-autonomous Hamiltonian systems. (English) Zbl 1319.34071 Appl. Math. Lett. 40, 72-77 (2015). MSC: 34C25 37J45 58E50 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{J. Xiao}, Appl. Math. Lett. 40, 72--77 (2015; Zbl 1319.34071) Full Text: DOI
Zhang, Duanzhi Symmetric period solutions with prescribed minimal period for even autonomous semipositive Hamiltonian systems. (English) Zbl 1334.37073 Sci. China, Math. 57, No. 1, 81-96 (2014). MSC: 37J45 34C25 70H05 58E05 PDFBibTeX XMLCite \textit{D. Zhang}, Sci. China, Math. 57, No. 1, 81--96 (2014; Zbl 1334.37073) Full Text: DOI
Pipan, John; Schechter, Martin Non-autonomous second order Hamiltonian systems. (English) Zbl 1331.37085 J. Differ. Equations 257, No. 2, 351-373 (2014). MSC: 37J45 35Q55 47J30 49J40 37J35 PDFBibTeX XMLCite \textit{J. Pipan} and \textit{M. Schechter}, J. Differ. Equations 257, No. 2, 351--373 (2014; Zbl 1331.37085) Full Text: DOI
Han, Xiaosen; Tarantello, Gabriella Doubly periodic self-dual vortices in a relativistic non-abelian Chern-Simons model. (English) Zbl 1291.35261 Calc. Var. Partial Differ. Equ. 49, No. 3-4, 1149-1176 (2014). MSC: 35Q51 35J47 35J50 37K40 PDFBibTeX XMLCite \textit{X. Han} and \textit{G. Tarantello}, Calc. Var. Partial Differ. Equ. 49, No. 3--4, 1149--1176 (2014; Zbl 1291.35261) Full Text: DOI arXiv
Cheng, Rong Periodic solutions for asymptotically linear Hamiltonian system with resonance both at infinity and origin via computation of critical groups. (English) Zbl 1317.37062 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 89, 134-145 (2013). MSC: 37J45 34C25 PDFBibTeX XMLCite \textit{R. Cheng}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 89, 134--145 (2013; Zbl 1317.37062) Full Text: DOI
Wang, Qi; Zhang, Qingye Homoclinic orbits for a class of nonperiodic Hamiltonian systems with some twisted conditions. (English) Zbl 1295.37018 Abstr. Appl. Anal. 2013, Article ID 610906, 11 p. (2013). Reviewer: Chun-Lei Tang (Chongqing) MSC: 37J45 34C37 53D12 PDFBibTeX XMLCite \textit{Q. Wang} and \textit{Q. Zhang}, Abstr. Appl. Anal. 2013, Article ID 610906, 11 p. (2013; Zbl 1295.37018) Full Text: DOI arXiv
Yuan, Pengfei; Zhang, Shiqing New periodic solutions for a class of singular Hamiltonian systems. (English) Zbl 1277.34049 Acta Math. Sin., Engl. Ser. 29, No. 6, 1205-1218 (2013). Reviewer: Anna Capietto (Torino) MSC: 34C25 58E30 70H05 37J45 PDFBibTeX XMLCite \textit{P. Yuan} and \textit{S. Zhang}, Acta Math. Sin., Engl. Ser. 29, No. 6, 1205--1218 (2013; Zbl 1277.34049) Full Text: DOI
Del Pino, Manuel; Kowalczyk, Michał; Pacard, Frank Moduli space theory for the Allen-Cahn equation in the plane. (English) Zbl 1286.35018 Trans. Am. Math. Soc. 365, No. 2, 721-766 (2013). Reviewer: Rodica Luca (Iaşi) MSC: 35B08 37K10 35J61 PDFBibTeX XMLCite \textit{M. Del Pino} et al., Trans. Am. Math. Soc. 365, No. 2, 721--766 (2013; Zbl 1286.35018) Full Text: DOI
Wang, Qi; Zhang, Qingye Homoclinic orbits for second-order Hamiltonian systems with some twist condition. (English) Zbl 1266.37012 Abstr. Appl. Anal. 2012, Article ID 250607, 15 p. (2012). Reviewer: Jörg Härterich (Bochum) MSC: 37C29 37J45 34C37 PDFBibTeX XMLCite \textit{Q. Wang} and \textit{Q. Zhang}, Abstr. Appl. Anal. 2012, Article ID 250607, 15 p. (2012; Zbl 1266.37012) Full Text: DOI
Wang, Zhiyong; Zhang, Jihui Periodic solutions for nonautonomous second order Hamiltonian systems with sublinear nonlinearity. (English) Zbl 1273.34049 Bound. Value Probl. 2011, Paper No. 23, 14 p. (2011). MSC: 34C25 37J45 58E50 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{J. Zhang}, Bound. Value Probl. 2011, Paper No. 23, 14 p. (2011; Zbl 1273.34049) Full Text: DOI
Lewis, Mark; Moameni, Abbas A new variational formulation for convex Hamiltonian systems with nonlinear boundary conditions. (English) Zbl 1246.37086 Bull. Aust. Math. Soc. 84, No. 2, 186-204 (2011). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 37K05 65K10 PDFBibTeX XMLCite \textit{M. Lewis} and \textit{A. Moameni}, Bull. Aust. Math. Soc. 84, No. 2, 186--204 (2011; Zbl 1246.37086) Full Text: DOI
Zhou, Zheng Existence of infinitely many solutions for a class of Allen-Cahn equations in \(\mathbb R^2\). (English) Zbl 1216.35057 Osaka J. Math. 48, No. 1, 51-67 (2011). MSC: 35J61 35A15 35B40 35J20 35B06 37K05 37K10 PDFBibTeX XMLCite \textit{Z. Zhou}, Osaka J. Math. 48, No. 1, 51--67 (2011; Zbl 1216.35057) Full Text: Euclid
Liu, Chungen; Wang, Qi Some abstract critical point theorems for self-adjoint operator equations and applications. (English) Zbl 1217.34070 Chin. Ann. Math., Ser. B 32, No. 1, 1-14 (2011). Reviewer: Michael Farber (Zürich) MSC: 34C25 37B30 58E05 PDFBibTeX XMLCite \textit{C. Liu} and \textit{Q. Wang}, Chin. Ann. Math., Ser. B 32, No. 1, 1--14 (2011; Zbl 1217.34070) Full Text: DOI
Li, Chong; Liu, Chungen Brake subharmonic solutions of first order Hamiltonian systems. (English) Zbl 1227.37014 Sci. China, Math. 53, No. 10, 2719-2732 (2010). MSC: 37J45 58E05 34B15 PDFBibTeX XMLCite \textit{C. Li} and \textit{C. Liu}, Sci. China, Math. 53, No. 10, 2719--2732 (2010; Zbl 1227.37014) Full Text: DOI arXiv
Tang, X. H.; Jiang, Jianchu Existence and multiplicity of periodic solutions for a class of second-order Hamiltonian systems. (English) Zbl 1206.34059 Comput. Math. Appl. 59, No. 12, 3646-3655 (2010). Reviewer: Alessandro Fonda (Trieste) MSC: 34C25 47J30 37J45 58E05 PDFBibTeX XMLCite \textit{X. H. Tang} and \textit{J. Jiang}, Comput. Math. Appl. 59, No. 12, 3646--3655 (2010; Zbl 1206.34059) Full Text: DOI
Wang, Zhiyong; Zhang, Jihui Periodic solutions of a class of second order non-autonomous Hamiltonian systems. (English) Zbl 1206.34060 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 12, 4480-4487 (2010). Reviewer: Yuri E. Gliklikh (Voronezh) MSC: 34C25 37J45 58E50 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{J. Zhang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 12, 4480--4487 (2010; Zbl 1206.34060) Full Text: DOI
Ghoussoub, Nassif; Moameni, Abbas Hamiltonian systems of PDEs with selfdual boundary conditions. (English) Zbl 1180.35041 Calc. Var. Partial Differ. Equ. 36, No. 1, 85-118 (2009). Reviewer: Radu Precup (Cluj-Napoca) MSC: 35B10 37K05 65K10 PDFBibTeX XMLCite \textit{N. Ghoussoub} and \textit{A. Moameni}, Calc. Var. Partial Differ. Equ. 36, No. 1, 85--118 (2009; Zbl 1180.35041) Full Text: DOI arXiv
Guo, Yuxia; Liu, Jiaquan Bifurcation for strongly indefinite functional and applications to Hamiltonian system and noncooperative elliptic system. (English) Zbl 1187.37024 J. Math. Anal. Appl. 359, No. 1, 28-38 (2009). Reviewer: Nils Ackermann (México) MSC: 37B30 58E07 58E05 47H11 37J45 35J50 PDFBibTeX XMLCite \textit{Y. Guo} and \textit{J. Liu}, J. Math. Anal. Appl. 359, No. 1, 28--38 (2009; Zbl 1187.37024) Full Text: DOI
Zhao, Fukun; Chen, Jin; Yang, Minbo A periodic solution for a second-order asymptotically linear Hamiltonian system. (English) Zbl 1167.34345 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 11, 4021-4026 (2009). MSC: 34C25 47J30 37J45 PDFBibTeX XMLCite \textit{F. Zhao} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 11, 4021--4026 (2009; Zbl 1167.34345) Full Text: DOI
Wang, Zhiyong; Zhang, Jihui; Zhang, Zhitao Periodic solutions of second order non-autonomous Hamiltonian systems with local superquadratic potential. (English) Zbl 1179.34037 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 10, 3672-3681 (2009). Reviewer: Yongxiang Li (Lanzhou) MSC: 34C25 37J45 58E30 PDFBibTeX XMLCite \textit{Z. Wang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 10, 3672--3681 (2009; Zbl 1179.34037) Full Text: DOI
Li, Chong; Liu, Chungen Nontrivial solutions of superquadratic Hamiltonian systems with Lagrangian boundary conditions and the \(L\)-index theory. (English) Zbl 1184.37047 Chin. Ann. Math., Ser. B 29, No. 6, 597-610 (2008). MSC: 37J45 58E05 34C25 PDFBibTeX XMLCite \textit{C. Li} and \textit{C. Liu}, Chin. Ann. Math., Ser. B 29, No. 6, 597--610 (2008; Zbl 1184.37047) Full Text: DOI
Fokam, Jean-Marcel Forced vibrations via Nash-Moser iteration. (English) Zbl 1198.35155 Commun. Math. Phys. 283, No. 2, 285-304 (2008). MSC: 35L71 35B10 37K55 35L20 PDFBibTeX XMLCite \textit{J.-M. Fokam}, Commun. Math. Phys. 283, No. 2, 285--304 (2008; Zbl 1198.35155) Full Text: DOI
Liu, Zhaoli; Su, Jiabao; Wang, Zhi-Qiang A twist condition and periodic solutions of Hamiltonian systems. (English) Zbl 1144.37027 Adv. Math. 218, No. 6, 1895-1913 (2008). MSC: 37J45 34C25 58E05 70H05 37C25 PDFBibTeX XMLCite \textit{Z. Liu} et al., Adv. Math. 218, No. 6, 1895--1913 (2008; Zbl 1144.37027) Full Text: DOI
Jiang, Mei-Yue Periodic solutions of some resonant Hamiltonian systems. (English) Zbl 1138.37040 J. Differ. Equations 244, No. 9, 2156-2184 (2008). MSC: 37J45 PDFBibTeX XMLCite \textit{M.-Y. Jiang}, J. Differ. Equations 244, No. 9, 2156--2184 (2008; Zbl 1138.37040) Full Text: DOI
Gui, Changfeng Hamiltonian identities for elliptic partial differential equations. (English) Zbl 1148.35023 J. Funct. Anal. 254, No. 4, 904-933 (2008). Reviewer: Bixiang Wang (Socorro) MSC: 35J60 37K05 PDFBibTeX XMLCite \textit{C. Gui}, J. Funct. Anal. 254, No. 4, 904--933 (2008; Zbl 1148.35023) Full Text: DOI
Iron, D.; Rumsey, J. Stability of asymmetric spike solutions to the Gierer-Meinhardt system. (English) Zbl 1163.37337 Chaos 17, No. 3, 037105, 17 p. (2007). MSC: 37D45 PDFBibTeX XMLCite \textit{D. Iron} and \textit{J. Rumsey}, Chaos 17, No. 3, 037105, 17 p. (2007; Zbl 1163.37337) Full Text: DOI Link
Liu, Yong; Jiang, Mei-Yue Periodic bounce solutions of Hamiltonian systems in bounded domains. (English) Zbl 1138.37041 Adv. Nonlinear Stud. 7, No. 4, 533-550 (2007). Reviewer: Jan Andres (Olomouc) MSC: 37J45 58E05 34C25 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{M.-Y. Jiang}, Adv. Nonlinear Stud. 7, No. 4, 533--550 (2007; Zbl 1138.37041) Full Text: DOI
Ghoussoub, Nassif; Moameni, Abbas Selfdual variational principles for periodic solutions of Hamiltonian and other dynamical systems. (English) Zbl 1130.35008 Commun. Partial Differ. Equations 32, No. 5, 771-795 (2007). Reviewer: Giulio Landolfi (Lecce) MSC: 35B10 37K05 35A15 65K10 PDFBibTeX XMLCite \textit{N. Ghoussoub} and \textit{A. Moameni}, Commun. Partial Differ. Equations 32, No. 5, 771--795 (2007; Zbl 1130.35008) Full Text: DOI arXiv
An, Tianqing Subharmonic solutions of Hamiltonian systems and the Maslov-type index theory. (English) Zbl 1112.37047 J. Math. Anal. Appl. 331, No. 1, 701-711 (2007). MSC: 37J45 37B30 PDFBibTeX XMLCite \textit{T. An}, J. Math. Anal. Appl. 331, No. 1, 701--711 (2007; Zbl 1112.37047) Full Text: DOI
Schechter, Martin Periodic solutions of second-order nonautonomous dynamical systems. (English) Zbl 1140.34366 Bound. Value Probl. 2006, Article ID 25104, 9 p. (2006). MSC: 34C25 34B15 37J45 PDFBibTeX XMLCite \textit{M. Schechter}, Bound. Value Probl. 2006, Article ID 25104, 9 p. (2006; Zbl 1140.34366) Full Text: DOI EuDML
Ghoussoub, Nassif; Tzou, Leo Iterations of anti-selfdual Lagrangians and applications to Hamiltonian systems and multiparameter gradient flows. (English) Zbl 1134.49029 Calc. Var. Partial Differ. Equ. 26, No. 4, 511-534 (2006). MSC: 49S05 37K05 35A15 PDFBibTeX XMLCite \textit{N. Ghoussoub} and \textit{L. Tzou}, Calc. Var. Partial Differ. Equ. 26, No. 4, 511--534 (2006; Zbl 1134.49029) Full Text: DOI arXiv
Jiang, Mei-Yue Periodic solutions of partially superquadratic second order Hamiltonian systems. (English) Zbl 1092.37038 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 64, No. 9, 1946-1961 (2006). MSC: 37J45 PDFBibTeX XMLCite \textit{M.-Y. Jiang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 64, No. 9, 1946--1961 (2006; Zbl 1092.37038) Full Text: DOI
Jiang, Mei-Yue Periodic solutions of second order superquadratic Hamiltonian systems with potential changing sign. I. (English) Zbl 1082.37061 J. Differ. Equations 219, No. 2, 323-341 (2005). Reviewer: Mircea Puta (Timişoara) MSC: 37J45 34C25 PDFBibTeX XMLCite \textit{M.-Y. Jiang}, J. Differ. Equations 219, No. 2, 323--341 (2005; Zbl 1082.37061) Full Text: DOI
Dong, Yujun Index theory, nontrivial solutions, and asymptotically linear second-order Hamiltonian systems. (English) Zbl 1073.37074 J. Differ. Equations 214, No. 2, 233-255 (2005). MSC: 37J45 34B15 34C25 37B30 58E05 PDFBibTeX XMLCite \textit{Y. Dong}, J. Differ. Equations 214, No. 2, 233--255 (2005; Zbl 1073.37074) Full Text: DOI
Ghoussoub, Nassif A theory of anti-selfdual Lagrangians: dynamical case. (English. Abridged French version) Zbl 1070.49029 C. R., Math., Acad. Sci. Paris 340, No. 4, 325-330 (2005). MSC: 49S05 37K05 35A15 35K85 PDFBibTeX XMLCite \textit{N. Ghoussoub}, C. R., Math., Acad. Sci. Paris 340, No. 4, 325--330 (2005; Zbl 1070.49029) Full Text: DOI
Ghoussoub, Nassif A theory of anti-selfdual Lagrangians: stationary case. (English. Abridged French version) Zbl 1070.49028 C. R., Math., Acad. Sci. Paris 340, No. 3, 245-250 (2005). MSC: 49S05 37K05 35A18 58E30 PDFBibTeX XMLCite \textit{N. Ghoussoub}, C. R., Math., Acad. Sci. Paris 340, No. 3, 245--250 (2005; Zbl 1070.49028) Full Text: DOI
Zhao, Fukun; Wu, Xian Existence and multiplicity of periodic solution for non-autonomous second-order systems with linear nonlinearity. (English) Zbl 1087.34022 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 60, No. 2, 325-335 (2005). Reviewer: Bojidar Cheshankov (Sofia) MSC: 34C25 34B15 37J45 47J30 PDFBibTeX XMLCite \textit{F. Zhao} and \textit{X. Wu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 60, No. 2, 325--335 (2005; Zbl 1087.34022) Full Text: DOI
Guo, Y. X.; Liu, J. Q. Morse theory for strongly indefinite functional. (English) Zbl 1013.37023 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 48, No. 6, 831-851 (2002). Reviewer: Thomas J.Bartsch (Gießen) MSC: 37D15 58E05 37M99 PDFBibTeX XMLCite \textit{Y. X. Guo} and \textit{J. Q. Liu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 48, No. 6, 831--851 (2002; Zbl 1013.37023) Full Text: DOI
Guo, Yuxia Nontrivial periodic solutions for asymptotically linear Hamiltonian systems with resonance. (English) Zbl 0983.37075 J. Differ. Equations 175, No. 1, 71-87 (2001). Reviewer: William J.Satzer jun.(St.Paul) MSC: 37J45 70H12 PDFBibTeX XMLCite \textit{Y. Guo}, J. Differ. Equations 175, No. 1, 71--87 (2001; Zbl 0983.37075) Full Text: DOI EuDML
Fei, Guihua; Kim, Soon-Kyu; Wang, Tixiang Solutions of minimal period for even classical Hamiltonian systems. (English) Zbl 0964.37040 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 43, No. 3, 363-375 (2001). Reviewer: Jacobo Pejsachowicz (Torino) MSC: 37J45 PDFBibTeX XMLCite \textit{G. Fei} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 43, No. 3, 363--375 (2001; Zbl 0964.37040) Full Text: DOI
Liu, Chungen; Long, Yiming Iteration inequalities of the Maslov-type index theory with applications. (English) Zbl 0961.37017 J. Differ. Equations 165, No. 2, 355-376 (2000). Reviewer: Paolo Piccione (São Paulo) MSC: 37J10 53D12 PDFBibTeX XMLCite \textit{C. Liu} and \textit{Y. Long}, J. Differ. Equations 165, No. 2, 355--376 (2000; Zbl 0961.37017) Full Text: DOI
Bates, Peter W.; Fusco, Giorgio Equilibria with many nuclei for the Cahn-Hilliard equation. (English) Zbl 0990.35016 J. Differ. Equations 160, No. 2, 283-356 (2000). Reviewer: Michael Grinfeld (Glasgow) MSC: 35B25 35K35 35K55 35B05 37N15 PDFBibTeX XMLCite \textit{P. W. Bates} and \textit{G. Fusco}, J. Differ. Equations 160, No. 2, 283--356 (2000; Zbl 0990.35016) Full Text: DOI
Liu, Chun-gen The stability of subharmonic solutions for Hamiltonian systems. (English) Zbl 0951.37003 J. Math. Anal. Appl. 240, No. 2, 491-504 (1999). Reviewer: Messoud Efendiev (Berlin) MSC: 37B55 37J05 PDFBibTeX XMLCite \textit{C.-g. Liu}, J. Math. Anal. Appl. 240, No. 2, 491--504 (1999; Zbl 0951.37003) Full Text: DOI
Liu, Chungen; Long, Yiming Hyperbolic characteristics on star-shaped hypersurfaces. (English) Zbl 0988.37078 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 16, No. 6, 725-746 (1999). Reviewer: Messoud Efendiev (Berlin) MSC: 37J45 58E05 34C25 57R17 34B15 PDFBibTeX XMLCite \textit{C. Liu} and \textit{Y. Long}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 16, No. 6, 725--746 (1999; Zbl 0988.37078) Full Text: DOI Numdam EuDML
Fei, Guihua; Kim, Soon-Kyu; Wang, Tixiang Minimal period estimates of periodic solutions for superquadratic Hamiltonian systems. (English) Zbl 0936.34032 J. Math. Anal. Appl. 238, No. 1, 216-233 (1999). Reviewer: G.V.Khmelevskaja-Plotnikova (Namur) MSC: 34C25 70H05 37J45 37J05 PDFBibTeX XMLCite \textit{G. Fei} et al., J. Math. Anal. Appl. 238, No. 1, 216--233 (1999; Zbl 0936.34032) Full Text: DOI
Rabinowitz, Paul H. A multibump construction in a degenerate setting. (English) Zbl 0876.34055 Calc. Var. Partial Differ. Equ. 5, No. 2, 159-182 (1997). Reviewer: Th.J.Bartsch (Gießen) MSC: 34C37 37J99 58E05 PDFBibTeX XMLCite \textit{P. H. Rabinowitz}, Calc. Var. Partial Differ. Equ. 5, No. 2, 159--182 (1997; Zbl 0876.34055) Full Text: DOI
Fei, Guihua; Wang, Tixiang The minimal period problem for nonconvex even second order Hamiltonian systems. (English) Zbl 0898.34042 J. Math. Anal. Appl. 215, No. 2, 543-559 (1997). Reviewer: G.V.Khmelevskaja-Plotnikova (Namur) MSC: 34C25 37J99 PDFBibTeX XMLCite \textit{G. Fei} and \textit{T. Wang}, J. Math. Anal. Appl. 215, No. 2, 543--559 (1997; Zbl 0898.34042) Full Text: DOI
Dong, Di; Long, Yiming The iteration formula of the Maslov-type index theory with applications to nonlinear Hamiltonian systems. (English) Zbl 0870.58024 Trans. Am. Math. Soc. 349, No. 7, 2619-2661 (1997). MSC: 37J99 37G99 58E05 34C25 15A18 15A21 PDFBibTeX XMLCite \textit{D. Dong} and \textit{Y. Long}, Trans. Am. Math. Soc. 349, No. 7, 2619--2661 (1997; Zbl 0870.58024) Full Text: DOI
Fei, Guihua; Qiu, Qingjiu Minimal periodic solutions of nonlinear Hamiltonian systems. (English) Zbl 0858.34034 Nonlinear Anal., Theory Methods Appl. 27, No. 7, 821-829 (1996). Reviewer: Á.Bosznay (Budapest) MSC: 34C25 37J99 PDFBibTeX XMLCite \textit{G. Fei} and \textit{Q. Qiu}, Nonlinear Anal., Theory Methods Appl. 27, No. 7, 821--829 (1996; Zbl 0858.34034) Full Text: DOI
Tanaka, Kazunaga A prescribed-energy problem for a conservative singular Hamiltonian system. (English) Zbl 0823.34047 Arch. Ration. Mech. Anal. 128, No. 2, 127-164 (1994). Reviewer: Ding Tongren (Beijing) MSC: 34C25 37J99 37G99 PDFBibTeX XMLCite \textit{K. Tanaka}, Arch. Ration. Mech. Anal. 128, No. 2, 127--164 (1994; Zbl 0823.34047) Full Text: DOI
Ding, Yanheng A remark on the linking theorem with applications. (English) Zbl 0798.58014 Nonlinear Anal., Theory Methods Appl. 22, No. 2, 237-250 (1994). Reviewer: Chang Kungching (Beijing) MSC: 58E05 37G99 37J99 PDFBibTeX XMLCite \textit{Y. Ding}, Nonlinear Anal., Theory Methods Appl. 22, No. 2, 237--250 (1994; Zbl 0798.58014) Full Text: DOI
Long, Yiming The minimal period problem of classical Hamiltonian systems with even potentials. (English) Zbl 0804.58018 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 10, No. 6, 605-626 (1993). Reviewer: Yu.E.Gliklikh (Voronezh) MSC: 37J99 58E05 34C25 PDFBibTeX XMLCite \textit{Y. Long}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 10, No. 6, 605--626 (1993; Zbl 0804.58018) Full Text: DOI Numdam EuDML