Tang, Zhongwei; Wang, Heming; Zhou, Ning On the density and multiplicity of solutions to the fractional Nirenberg problem. (English) Zbl 07978227 Discrete Contin. Dyn. Syst. 45, No. 6, 1767-1800 (2025). MSC: 35R11 35B44 58J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Timoumi, Mohsen Ground state homoclinic solutions for damped vibration systems with periodicity. (English) Zbl 07971679 Differ. Equ. Dyn. Syst. 33, No. 1, 333-354 (2025). MSC: 34C37 49J20 70H05 × Cite Format Result Cite Review PDF Full Text: DOI
Gu, Long-Jiang; Zhou, Huan-Song Infinitely many solutions for a Schrödinger equation with sign-changing potential and nonlinear term. (English) Zbl 07948494 Commun. Pure Appl. Anal. 24, No. 1, 15-35 (2025). MSC: 35J61 35J10 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khachnaoui, Khaled Existence and multiplicity of solutions for a class of Hamiltonian systems. (English) Zbl 07950605 Ukr. Math. J. 76, No. 6, 1035-1053 (2024) and Ukr. Mat. Zh. 76, No. 6, 915-930 (2024). MSC: 37Jxx × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Chengxiang; Zhang, Xu Normalized clustering peak solutions for Schrödinger equations with general nonlinearities. (English) Zbl 07927405 Calc. Var. Partial Differ. Equ. 63, No. 9, Paper No. 220, 41 p. (2024). MSC: 35J10 35Q55 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tang, Zhongwei; Wang, Heming; Zhou, Ning Existence and density results of conformal metrics with prescribed higher order \(Q\)-curvature on \(\mathbb{S}^n\). (English) Zbl 07922723 Differ. Geom. Appl. 96, Article ID 102172, 37 p. (2024). MSC: 53C18 35B38 35B44 35J91 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Tianfang; Zhang, Wen Existence and concentration of homoclinic orbits for first order Hamiltonian systems. (English) Zbl 07919828 Commun. Anal. Mech. 16, No. 1, 121-146 (2024). MSC: 37J46 70K44 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Chao-Nien; Choi, Yung-Sze; Huang, Chih-Chiang; Tzeng, Shyuh-yaur The effects of long-range interaction to wave propagation. (English) Zbl 1546.35117 Calc. Var. Partial Differ. Equ. 63, No. 8, Paper No. 196, 22 p. (2024). MSC: 35K57 35C07 35R09 92C20 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Qian; Xiao, Aiguo; Yan, Xiaoqiang; Liu, Guidong A class of polynomial approximation methods to second-order delay differential equations. (English) Zbl 07890916 J. Comput. Appl. Math. 451, Article ID 116085, 24 p. (2024). MSC: 65Lxx 65Pxx 34Kxx × Cite Format Result Cite Review PDF Full Text: DOI
Benhassine, A.; Farhani, S.; Talbi, T. Sufficient close-to-necessary condition for the existence of homoclinic orbits, and applications. (English) Zbl 1548.37091 São Paulo J. Math. Sci. 18, No. 1, 370-388 (2024). MSC: 37J46 37J51 37C29 34C37 × Cite Format Result Cite Review PDF Full Text: DOI
Xia, Jiankang; Zhang, Xu Multibump solutions for critical Choquard equation. (English) Zbl 1542.35175 SIAM J. Math. Anal. 56, No. 3, 3832-3860 (2024). MSC: 35J61 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Fashun; Yang, Minbo; Zheng, Yu Multi-bump solutions for a Choquard equation with nonsymmetric potential. (English) Zbl 1537.35185 J. Geom. Anal. 34, No. 6, Paper No. 185, 37 p. (2024). MSC: 35J61 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Benhassine, Abderrazek Existence of ground states solutions for Dirac-Poisson systems. (English) Zbl 1538.81012 São Paulo J. Math. Sci. 17, No. 2, 978-993 (2023). MSC: 81Q05 35J05 30C70 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Chengjun; Chen, Baili; Liu, Junming; Agarwal, Ravi P. Existence of homoclinic orbits of a class of second-order quasilinear Schrödinger equations with delay. (English) Zbl 1531.34062 Rocky Mt. J. Math. 53, No. 5, 1489-1509 (2023). MSC: 34K16 58E50 × Cite Format Result Cite Review PDF Full Text: DOI Link
Tang, Zhongwei; Wang, Heming; Zhou, Ning On a Nirenberg-type problem involving the half Laplacian: density and multiplicity of solutions. (English) Zbl 1522.35109 Ann. Mat. Pura Appl. (4) 202, No. 5, 2145-2194 (2023). MSC: 35B44 35R11 58J05 × Cite Format Result Cite Review PDF Full Text: DOI
Dipierro, Serena; Patrizi, Stefania; Valdinoci, Enrico A fractional glance to the theory of edge dislocations. (English) Zbl 1518.35585 Indrei, Emanuel (ed.) et al., Geometric and functional inequalities and recent topics in nonlinear PDEs. Virtual conference, Purdue University, West Lafayette, IN, USA, February 28 – March 1, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 781, 103-135 (2023). MSC: 35Q74 74N05 74Q05 74Q10 35B40 35B36 82D25 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Xionghui; Sun, Jijiang Ground state solutions for periodic discrete Schrödinger equations with local super-quadratic conditions. (English) Zbl 1503.35215 Z. Angew. Math. Phys. 74, No. 1, Paper No. 5, 22 p. (2023). MSC: 35Q55 35Q51 39A12 39A70 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Selmi, Wafa; Timoumi, Mohsen Fast homoclinic orbits for a class of damped vibration systems. (English) Zbl 1533.34036 Ric. Mat. 71, No. 2, 431-440 (2022). Reviewer: Alexander Lohse (Hamburg) MSC: 34C37 58E30 × Cite Format Result Cite Review PDF Full Text: DOI
He, Yi; Luo, Xiao Concentrating standing waves for Davey-Stewartson systems. (English) Zbl 1505.35181 Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 6, 1411-1450 (2022). MSC: 35J61 35J25 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Tang, Zhongwei; Zhang, Chengxiang; Zhang, Luyu; Zhou, Luyan Normalized multibump solutions to nonlinear Schrödinger equations with steep potential well. (English) Zbl 1497.35129 Nonlinearity 35, No. 8, 4624-4658 (2022). MSC: 35J10 35J61 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
An, Xiaoming; Yang, Jing Existence and asymptotic behavior of solitary waves for a weakly coupled Schrödinger system. (English) Zbl 1491.35170 Adv. Nonlinear Stud. 22, 159-183 (2022). MSC: 35J47 35J10 35J61 35A01 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Peng; Guo, Fei Multiplicity of homoclinic solutions for second order Hamiltonian systems with local conditions at the origin. (English) Zbl 1496.37064 Acta Math. Sin., Engl. Ser. 38, No. 4, 735-744 (2022). MSC: 37J46 37J65 37C29 × Cite Format Result Cite Review PDF Full Text: DOI
An, Xiaoming; Peng, Shuangjie Multi-peak semiclassical bound states for fractional Schrödinger equations with fast decaying potentials. (English) Zbl 1487.35032 Electron. Res. Arch. 30, No. 2, 585-614 (2022). MSC: 35B25 35A15 35J61 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Huijuan; Jiang, Shan; Liu, Guanggang Existence of homoclinic solutions for a class of damped vibration problems. (English) Zbl 1521.34051 Qual. Theory Dyn. Syst. 21, No. 2, Paper No. 51, 12 p. (2022). MSC: 34C37 34C25 47J30 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Wen; Yang, Gang; Liao, Fangfang Homoclinic orbits for first-order Hamiltonian system with local super-quadratic growth condition. (English) Zbl 1495.37055 Complex Var. Elliptic Equ. 67, No. 4, 988-1011 (2022). MSC: 37J46 70H05 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Shaowei; Wang, Zhi-Qiang Gluing higher-topological-type semiclassical states for nonlinear Schrödinger equations. (English) Zbl 1486.35158 Ann. Mat. Pura Appl. (4) 201, No. 2, 589-616 (2022). MSC: 35J10 35Q55 35J61 35A01 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Oliver-Bonafoux, Ramon Non-minimizing connecting orbits for multi-well systems. (English) Zbl 1494.34120 Calc. Var. Partial Differ. Equ. 61, No. 2, Paper No. 69, 27 p. (2022). MSC: 34C37 58E50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Chengxiang; Zhang, Xu Normalized multi-bump solutions of nonlinear Schrödinger equations via variational approach. (English) Zbl 1491.35406 Calc. Var. Partial Differ. Equ. 61, No. 2, Paper No. 57, 20 p. (2022). MSC: 35Q55 35B25 35A15 35B38 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
He, Yi; Luo, Xiao; Rădulescu, Vicenţiu D. Nodal multi-peak standing waves of fourth-order Schrödinger equations with mixed dispersion. (English) Zbl 1479.35794 J. Geom. Anal. 32, No. 1, Paper No. 30, 36 p. (2022). MSC: 35Q55 35B40 35J30 35J50 35J61 35B25 35B35 35B65 31A30 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
An, Xiaoming; Wang, Chunhua Nonstandard solutions for a perturbed nonlinear Schrödinger system with small coupling coefficients. (English) Zbl 1544.35088 Math. Nachr. 294, No. 6, 1052-1084 (2021). Reviewer: Shuangjie Peng (Wuhan) MSC: 35J15 35B25 35B40 35Q55 37J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Jian; Du, Zhuoran Multiple entire solutions of fractional Laplacian Schrödinger equations. (English) Zbl 1485.35206 AIMS Math. 6, No. 8, 8509-8524 (2021). MSC: 35J61 35R11 35A01 35B08 × Cite Format Result Cite Review PDF Full Text: DOI
Lv, Haiyan; Chen, Guanwei Homoclinic orbits of sub-linear Hamiltonian systems with perturbed terms. (English) Zbl 1496.37065 Bound. Value Probl. 2021, Paper No. 32, 7 p. (2021). MSC: 37J46 37C29 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Chao-Nien; Séré, Éric Multiple front standing waves in the FitzHugh-Nagumo equations. (English) Zbl 1490.34050 J. Differ. Equations 302, 895-925 (2021). Reviewer: Abderrazek Benhassine (Monastir) MSC: 34C37 35J50 35K57 34C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Gao, Fashun; Rădulescu, Vicentiu D.; Yang, Minbo; Zheng, Yu Standing waves for the pseudo-relativistic Hartree equation with Berestycki-Lions nonlinearity. (English) Zbl 1479.35386 J. Differ. Equations 295, 70-112 (2021). Reviewer: Leszek Gasiński (Kraków) MSC: 35J60 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Montecchiari, Piero; Rabinowitz, Paul H. A nondegeneracy condition for a semilinear elliptic system and the existence of multibump solutions. (English) Zbl 1467.35136 Calc. Var. Partial Differ. Equ. 60, No. 4, Paper No. 122, 49 p. (2021). Reviewer: Marius Ghergu (Dublin) MSC: 35J47 35J61 35A01 35J50 × Cite Format Result Cite Review PDF Full Text: DOI
Benhassine, Abderrazek Standing wave solutions of Maxwell-Dirac systems. (English) Zbl 1465.49010 Calc. Var. Partial Differ. Equ. 60, No. 3, Paper No. 107, 20 p. (2021). MSC: 49J35 35Q40 81V10 × Cite Format Result Cite Review PDF Full Text: DOI
Lv, Ying; Xue, Yan-Fang; Tang, Chun-Lei Ground state homoclinic orbits for a class of asymptotically periodic second-order Hamiltonian systems. (English) Zbl 1472.37065 Discrete Contin. Dyn. Syst., Ser. B 26, No. 3, 1627-1652 (2021). Reviewer: Zdzisław Dzedzej (Gdańsk) MSC: 37J46 37J51 37C29 × Cite Format Result Cite Review PDF Full Text: DOI
Izydorek, Marek; Janczewska, Joanna; Waterstraat, Nils Homoclinics for singular strong force Lagrangian systems in \(\mathbb{R}^N\). (English) Zbl 1465.37073 Calc. Var. Partial Differ. Equ. 60, No. 2, Paper No. 73, 18 p. (2021). MSC: 37J46 37J51 70G75 × Cite Format Result Cite Review PDF Full Text: DOI
Ye, Yiwei On locally superquadratic Hamiltonian systems with periodic potential. (English) Zbl 1496.37067 Bound. Value Probl. 2020, Paper No. 146, 11 p. (2020). MSC: 37J46 34C37 37C29 × Cite Format Result Cite Review PDF Full Text: DOI
Wan, Lili Multiple homoclinic solutions for \(p\)-Laplacian Hamiltonian systems with concave-convex nonlinearities. (English) Zbl 1496.37066 Bound. Value Probl. 2020, Paper No. 4, 15 p. (2020). MSC: 37J46 × Cite Format Result Cite Review PDF Full Text: DOI
Montecchiari, Piero; Rabinowitz, Paul H. A variant of the mountain pass theorem and variational gluing. (English) Zbl 1471.35124 Milan J. Math. 88, No. 2, 347-372 (2020). Reviewer: Vladimir Bobkov (Ufa) MSC: 35J50 35J47 35J57 34C37 × Cite Format Result Cite Review PDF Full Text: DOI
Montecchiari, Piero; Rabinowitz, Paul H. A note on a class of double well potential problems. (English) Zbl 1459.35138 Rend. Ist. Mat. Univ. Trieste 52, 193-216 (2020). MSC: 35J50 35J47 35J57 34C37 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ciesielski, Jakub; Janczewska, Joanna; Waterstraat, Nils On the existence of homoclinic type solutions of a class of inhomogenous second order Hamiltonian systems. (English) Zbl 1452.37066 J. Dyn. Differ. Equations 32, No. 3, 1343-1356 (2020). Reviewer: Zdzisław Dzedzej (Gdansk) MSC: 37J46 37C29 70K44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wan, Lili; Chen, Jing Homoclinic solutions for Hamiltonian systems of \(p\)-Laplacian-like type. (English) Zbl 1444.37052 Qual. Theory Dyn. Syst. 19, No. 2, Paper No. 60, 19 p. (2020). Reviewer: Stepan Agop Tersian (Rousse) MSC: 37J46 37K58 35B38 × Cite Format Result Cite Review PDF Full Text: DOI
Barile, Sara; Salvatore, Addolorata Some multiplicity results of homoclinic solutions for second order Hamiltonian systems. (English) Zbl 1475.37068 Opusc. Math. 40, No. 1, 21-36 (2020). Reviewer: Abderrazek Benhassine (Monastir) MSC: 37J46 37J51 34C37 58E30 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Wen; Zhang, Jian; Tang, Xianhua Ground state homoclinic orbits for first-order Hamiltonian system. (English) Zbl 1439.37066 Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1163-1182 (2020). MSC: 37J46 37J51 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Dong-Lun; Yu, Xiang New homoclinic orbits for Hamiltonian systems with asymptotically quadratic growth at infinity. (English) Zbl 1437.37077 Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 22, 17 p. (2020). MSC: 37J46 37J51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lv, Xiang Existence of homoclinic solutions for a class of second-order Hamiltonian systems with locally subquadratic potentials. (English) Zbl 1508.37078 Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 7, 7 p. (2020). MSC: 37J46 37C29 × Cite Format Result Cite Review PDF Full Text: DOI
Lü, Dengfeng; Peng, Shuangjie Existence and concentration of solutions for singularly perturbed doubly nonlocal elliptic equations. (English) Zbl 1437.35308 Commun. Contemp. Math. 22, No. 1, Article ID 1850074, 37 p. (2020). MSC: 35J60 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Gu, Long-Jiang Multiple solutions for a Choquard system with periodic potential. (English) Zbl 1433.35057 J. Math. Anal. Appl. 484, No. 1, Article ID 123704, 23 p. (2020). MSC: 35J47 35J61 × Cite Format Result Cite Review PDF Full Text: DOI
Ledesma, Cesar Enrique Torres; Zhang, Ziheng; Mendez, Amado Fractional Hamiltonian systems with positive semi-definite matrix. (English) Zbl 1459.34110 J. Appl. Anal. Comput. 9, No. 6, 2436-2453 (2019). MSC: 34C37 35A15 35B38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Erbe, Lynn; Jia, Baoguo; Zhang, Qinqin Homoclinic solutions of discrete nonlinear systems via variational method. (English) Zbl 1462.39003 J. Appl. Anal. Comput. 9, No. 1, 271-294 (2019). MSC: 39A12 39A23 37C29 × Cite Format Result Cite Review PDF Full Text: DOI
Cerda, Patricio; Faria, Luiz F. O.; Toon, Eduard; Ubilla, Pedro Two homoclinic orbits for some second-order Hamiltonian systems. (English) Zbl 1475.37069 Topol. Methods Nonlinear Anal. 54, No. 2A, 427-444 (2019). Reviewer: Abderrazek Benhassine (Monastir) MSC: 37J46 37J25 37J51 37C29 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Benhassine, Abderrazek Infinitely many solutions for a class of fractional Hamiltonian systems with combined nonlinearities. (English) Zbl 1419.34011 Anal. Math. Phys. 9, No. 1, 289-312 (2019). MSC: 34A08 34C37 58E50 37J45 × Cite Format Result Cite Review PDF Full Text: DOI
Pankov, Alexander Homoclinics for strongly indefinite almost periodic second order Hamiltonian systems. (English) Zbl 1430.37067 Adv. Nonlinear Anal. 8, 372-385 (2019). Reviewer: Tudor Bînzar (Timişoara) MSC: 37J46 37J06 34C37 × Cite Format Result Cite Review PDF Full Text: DOI
Fusco, Giorgio; Gronchi, Giovanni F.; Novaga, Matteo Existence of periodic orbits near heteroclinic connections. (English) Zbl 1408.37105 Minimax Theory Appl. 4, No. 1, 113-149 (2019). MSC: 37J45 37J50 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Montecchiari, Piero; Rabinowitz, Paul H. On global non-degeneracy conditions for chaotic behavior for a class of dynamical systems. (English) Zbl 1421.35089 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 3, 627-653 (2019). Reviewer: Dian K. Palagachev (Bari) MSC: 35J50 35J47 35J57 34C37 × Cite Format Result Cite Review PDF Full Text: DOI
Cerda, P.; Toon, E.; Ubilla, P. Existence of one homoclinic orbit for second order Hamiltonian systems involving certain hypotheses of monotonicity on the nonlinearities. (English) Zbl 1408.37103 Nonlinear Anal., Real World Appl. 47, 348-363 (2019). MSC: 37J45 70K44 70G75 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Xiaomei; Zhu, Anqiang Multi-peak solutions for nonlinear Choquard equation in the plane. (English) Zbl 1412.35127 J. Math. Phys. 60, No. 1, 011512, 18 p. (2019). MSC: 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
Benhassine, Abderrazek On nonlinear Dirac equations. (English) Zbl 1410.35155 J. Math. Phys. 60, No. 1, 011510, 12 p. (2019). MSC: 35Q41 35Q55 81Q05 81Q20 81R25 81V10 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Qinqin Homoclinic orbits for discrete Hamiltonian systems with local super-quadratic conditions. (English) Zbl 1401.39017 Commun. Pure Appl. Anal. 18, No. 1, 425-434 (2019). MSC: 39A30 39A12 37J45 × Cite Format Result Cite Review PDF Full Text: DOI
Chmara, M.; Maksymiuk, J. Mountain pass type periodic solutions for Euler-Lagrange equations in anisotropic Orlicz-Sobolev space. (English) Zbl 1432.34052 J. Math. Anal. Appl. 470, No. 1, 584-598 (2019). Reviewer: Stepan Agop Tersian (Rousse) MSC: 34C25 34B15 49J35 49J27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ye, Yiwei Homoclinic solutions for second-order Hamiltonian systems with periodic potential. (English) Zbl 1499.37100 Bound. Value Probl. 2018, Paper No. 186, 11 p. (2018). MSC: 37J46 70G75 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, Xinhe; Zhang, Ziheng Fast homoclinic solutions for damped vibration problems with superquadratic potentials. (English) Zbl 1499.34262 Bound. Value Probl. 2018, Paper No. 183, 14 p. (2018). MSC: 34C37 58E50 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Ziheng; Ledesma, César E. Torres; Yuan, Rong Homoclinic solutions for fractional Hamiltonian systems with indefinite conditions. (English) Zbl 1499.34090 Filomat 32, No. 7, 2403-2419 (2018). MSC: 34A08 37J46 58E50 34C37 × Cite Format Result Cite Review PDF Full Text: DOI
Montecchiari, Piero; Rabinowitz, Paul H. Solutions of mountain pass type for double well potential systems. (English) Zbl 1405.37072 Calc. Var. Partial Differ. Equ. 57, No. 5, Paper No. 114, 31 p. (2018). MSC: 37J45 34A34 34C37 49J35 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Timoumi, Mohsen On ground-state homoclinic orbits of a class of superquadratic damped vibration systems. (English) Zbl 1388.37070 Mediterr. J. Math. 15, No. 2, Paper No. 53, 20 p. (2018). MSC: 37J45 74D10 70K44 47J30 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Wen; Zhang, Jian; Jiang, Weijin Infinitely many solutions for a class of superlinear Dirac-Poisson system. (English) Zbl 1394.35391 Appl. Math. Lett. 80, 79-87 (2018). MSC: 35Q41 35Q60 35A15 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Chun; Agarwal, Ravi P.; Wu, Dong-Lun Existence and multiplicity of solutions for a class of superlinear elliptic systems. (English) Zbl 1392.35159 Adv. Nonlinear Anal. 7, No. 2, 183-196 (2018). MSC: 35J91 35J47 35J57 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xiaoping Local super-quadratic conditions on homoclinic solutions for a second-order Hamiltonian system. (English) Zbl 1387.37058 Appl. Math. Lett. 75, 7-12 (2018). Reviewer: Chun-Lei Tang (Chongqing) MSC: 37J45 34C37 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Yong; Zhang, Lu Existence and multiplicity results of homoclinic solutions for fractional Hamiltonian systems. (English) Zbl 1409.35232 Comput. Math. Appl. 73, No. 6, 1325-1345 (2017). MSC: 35R11 35A15 35B38 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Ziheng; Yuan, Rong Homoclinic solutions for \(p\)-Laplacian Hamiltonian systems with combined nonlinearities. (English) Zbl 1392.34054 Qual. Theory Dyn. Syst. 16, No. 3, 761-774 (2017). MSC: 34C37 37J40 58E50 × Cite Format Result Cite Review PDF Full Text: DOI
Daouas, Adel; Boujlida, Monia Existence of positive homoclinic solutions for damped differential equations. (English) Zbl 1379.34038 Positivity 21, No. 4, 1353-1367 (2017). MSC: 34C37 37C60 58E50 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Ziheng; Torres Ledesma, César E. Solutions for a class of fractional Hamiltonian systems with a parameter. (English) Zbl 1377.34019 J. Appl. Math. Comput. 54, No. 1-2, 451-468 (2017). MSC: 34A08 37J45 58E50 × Cite Format Result Cite Review PDF Full Text: DOI
Benhassine, Abderrazek Multiple of homoclinic solutions for a perturbed dynamical systems with combined nonlinearities. (English) Zbl 1376.34044 Mediterr. J. Math. 14, No. 3, Paper No. 132, 20 p. (2017). MSC: 34C37 37C60 58E50 × Cite Format Result Cite Review PDF Full Text: DOI
Alves, Claudianor O.; Miyagaki, Olímpio H. Existence, regularity, and concentration phenomenon of nontrivial solitary waves for a class of generalized variable coefficient Kadomtsev-Petviashvili equation. (English) Zbl 1370.76019 J. Math. Phys. 58, No. 8, 081503, 18 p. (2017). MSC: 76B15 76B25 76B03 76M30 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Motreanu, D.; Motreanu, V. V. Generic existence of nondegenerate homoclinic solutions. (English) Zbl 1373.37149 Lobachevskii J. Math. 38, No. 2, 322-329 (2017). MSC: 37J45 37C29 × Cite Format Result Cite Review PDF Full Text: DOI
Tanaka, Kazunaga; Zhang, Chengxiang Multi-bump solutions for logarithmic Schrödinger equations. (English) Zbl 1383.35217 Calc. Var. Partial Differ. Equ. 56, No. 2, Paper No. 33, 35 p. (2017). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q55 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Zhisu; Guo, Shangjiang; Zhang, Ziheng Homoclinic orbits for the second-order Hamiltonian systems. (English) Zbl 1365.37052 Nonlinear Anal., Real World Appl. 36, 116-138 (2017). Reviewer: Mohsen Timoumi (Monastir) MSC: 37J45 70H30 70H05 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Minbo; Zhang, Jianjun; Zhang, Yimin Multi-peak solutions for nonlinear Choquard equation with a general nonlinearity. (English) Zbl 1364.35027 Commun. Pure Appl. Anal. 16, No. 2, 493-512 (2017). MSC: 35B25 35B33 35J61 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dipierro, Serena; Patrizi, Stefania; Valdinoci, Enrico Chaotic orbits for systems of nonlocal equations. (English) Zbl 1386.35416 Commun. Math. Phys. 349, No. 2, 583-626 (2017). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 35R09 34C37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lv, Xiang Infinitely many homoclinic solutions for a class of subquadratic second-order Hamiltonian systems. (English) Zbl 1410.34131 Appl. Math. Comput. 290, 298-306 (2016). MSC: 34C37 70G75 70H05 37N05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Huiwen; He, Zhimin; Ouyang, Zigen; Liao, Maoxin Homoclinic orbits for damped vibration systems with asymptotically quadratic or subquadratic potentials. (English) Zbl 1419.34141 Adv. Difference Equ. 2016, Paper No. 78, 11 p. (2016). MSC: 34C37 35A15 37J45 × Cite Format Result Cite Review PDF Full Text: DOI
Wan, Li-Li Homoclinic solutions for second order Hamiltonian systems near the origin. (English) Zbl 1419.34143 Adv. Difference Equ. 2016, Paper No. 25, 13 p. (2016). MSC: 34C37 37J45 37C29 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xiaoping Infinitely many homoclinic solutions for a second-order Hamiltonian system with locally defined potentials. (English) Zbl 1355.37081 Chaos Solitons Fractals 87, 47-50 (2016). MSC: 37J45 34C37 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Ziheng; You, Honglian; Yuan, Rong Homoclinic solutions for second order Hamiltonian systems with general potentials. (English) Zbl 1413.37049 Math. Slovaca 66, No. 4, 887-900 (2016). Reviewer: Liu Yang (Ma’anshan) MSC: 37J45 37C29 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Ziheng; Yuan, Rong Existence of two almost homoclinic solutions for \(p(t)\)-Laplacian Hamiltonian systems with a small perturbation. (English) Zbl 1352.34065 J. Appl. Math. Comput. 52, No. 1-2, 173-189 (2016). MSC: 34C37 37J45 58E50 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Ziheng; Xiang, Tian; Yuan, Rong Homoclinic solutions for \(p(t)\)-Laplacian-Hamiltonian systems without coercive conditions. (English) Zbl 1348.34082 Mediterr. J. Math. 13, No. 4, 1589-1611 (2016). Reviewer: Mohsen Timoumi (Monastir) MSC: 34C37 37J45 58E50 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xu; Ma, Shiwang Periodic and solitary travelling waves in infinite lattices without Ambrosetti-Rabinowitz condition. (English) Zbl 1339.37080 J. Dyn. Differ. Equations 28, No. 2, 419-430 (2016). MSC: 37K60 34A33 34C25 74J35 × Cite Format Result Cite Review PDF Full Text: DOI
Tang, X. H. Infinitely many homoclinic solutions for a second-order Hamiltonian system. (English) Zbl 1333.37097 Math. Nachr. 289, No. 1, 116-127 (2016). MSC: 37J45 34C37 46N20 × Cite Format Result Cite Review PDF Full Text: DOI
Montecchiari, Piero; Rabinowitz, Paul H. On the existence of multi-transition solutions for a class of elliptic systems. (English) Zbl 1332.35113 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 1, 199-219 (2016). Reviewer: Raffaella Servadei (Arcavata di Rende) MSC: 35J50 35J57 34C25 34C37 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Ziheng; Yuan, Rong Two almost homoclinic solutions for a class of perturbed Hamiltonian systems without coercive conditions. (English) Zbl 1499.37101 Math. Model. Anal. 20, No. 1, 112-123 (2015). MSC: 37J46 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
He, Zhimin; Chen, Huiwen Multiple homoclinic orbits for second order discrete Hamiltonian systems without symmetric condition. (English) Zbl 1422.37042 Adv. Difference Equ. 2015, Paper No. 199, 15 p. (2015). MSC: 37J45 39A12 58E05 70H05 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Juntao; Wu, Tsung-fang Homoclinic solutions for a second-order Hamiltonian system with a positive semi-definite matrix. (English) Zbl 1352.37167 Chaos Solitons Fractals 76, 24-31 (2015). MSC: 37J45 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Xiaoyan; Tang, Xianhua New conditions on homoclinic solutions for a subquadratic second order Hamiltonian system. (English) Zbl 1360.37156 Bound. Value Probl. 2015, Paper No. 111, 17 p. (2015). Reviewer: Mohsen Timoumi (Monastir) MSC: 37J45 34C37 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Bo Fast homoclinic solutions for a class of ordinary \(p\)-Laplacian systems. (English) Zbl 1344.34053 Bound. Value Probl. 2015, Paper No. 183, 14 p. (2015). MSC: 34C37 34B40 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Xionghua; Zhang, Ziheng Solutions for perturbed fractional Hamiltonian systems without coercive conditions. (English) Zbl 1341.34012 Bound. Value Probl. 2015, Paper No. 149, 12 p. (2015). MSC: 34A08 34C37 37J99 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Zhen-hui; Xu, Hao-yuan Existence of multi-peak solutions for \(p\)-Laplace problems in \(\mathbb R^N\). (English) Zbl 1339.35110 Acta Math. Appl. Sin., Engl. Ser. 31, No. 4, 1061-1072 (2015). Reviewer: Marius Ghergu (Dublin) MSC: 35J20 35J65 35B09 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Chuanfang; Han, Zhiqing Infinitely many homoclinic orbits for a class of second-order damped differential equations. (English) Zbl 1344.34055 Math. Methods Appl. Sci. 38, No. 18, 5048-5062 (2015). Reviewer: Sergei Kornev (Voronezh) MSC: 34C37 58E50 × Cite Format Result Cite Review PDF Full Text: DOI