Benhassine, Abderrazek Existence of ground states solutions for Dirac-Poisson systems. (English) Zbl 07787014 São Paulo J. Math. Sci. 17, No. 2, 978-993 (2023). MSC: 81Q05 35J05 30C70 PDFBibTeX XMLCite \textit{A. Benhassine}, São Paulo J. Math. Sci. 17, No. 2, 978--993 (2023; Zbl 07787014) Full Text: DOI
Wen, Yanyun; Zhao, Peihao Ground state solution of weakly coupled time-harmonic Maxwell equations. (English) Zbl 1518.35579 Z. Angew. Math. Phys. 74, No. 3, Paper No. 93, 20 p. (2023). Reviewer: Changxing Miao (Beijing) MSC: 35Q60 78A60 35A15 35B06 35B38 35J20 58E05 PDFBibTeX XMLCite \textit{Y. Wen} and \textit{P. Zhao}, Z. Angew. Math. Phys. 74, No. 3, Paper No. 93, 20 p. (2023; Zbl 1518.35579) Full Text: DOI
Liao, Fangfang; Zhang, Jian; Chen, Jianwen Multiplicity of solutions for asymptotically quadratic Dirac-Poisson system with non-periodic potential. (English) Zbl 1475.35008 Appl. Math. Lett. 120, Article ID 107304, 8 p. (2021). MSC: 35A15 35J61 35Q41 PDFBibTeX XMLCite \textit{F. Liao} et al., Appl. Math. Lett. 120, Article ID 107304, 8 p. (2021; Zbl 1475.35008) Full Text: DOI
Liu, Yanyan; Li, Chong; Li, Shujie Generalized linking theorem with applications to nonautonomous Hamiltonian systems and Dirac equations on compact spin manifold. (English) Zbl 1470.58021 Commun. Contemp. Math. 23, No. 6, Article ID 2050016, 25 p. (2021). Reviewer: Huansong Zhou (Wuhan) MSC: 58J05 35J20 35J61 35B38 35P05 53C27 PDFBibTeX XMLCite \textit{Y. Liu} et al., Commun. Contemp. Math. 23, No. 6, Article ID 2050016, 25 p. (2021; Zbl 1470.58021) Full Text: DOI
Bartsch, Thomas; Xu, Tian Strongly localized semiclassical states for nonlinear Dirac equations. (English) Zbl 1460.35308 Discrete Contin. Dyn. Syst. 41, No. 1, 29-60 (2021). MSC: 35Q41 49J35 35B38 PDFBibTeX XMLCite \textit{T. Bartsch} and \textit{T. Xu}, Discrete Contin. Dyn. Syst. 41, No. 1, 29--60 (2021; Zbl 1460.35308) Full Text: DOI arXiv
Qin, Dongdong; Tang, Xianhua; Wu, Qingfang Existence and concentration properties of ground state solutions for elliptic systems. (English) Zbl 1454.35065 Complex Var. Elliptic Equ. 65, No. 8, 1257-1286 (2020). MSC: 35J05 35J50 35E05 PDFBibTeX XMLCite \textit{D. Qin} et al., Complex Var. Elliptic Equ. 65, No. 8, 1257--1286 (2020; Zbl 1454.35065) Full Text: DOI
He, Yubo; Qin, Dongdong; Chen, Dongdong Ground state solutions for Hamiltonian elliptic systems with super or asymptotically quadratic nonlinearity. (English) Zbl 1513.35219 Bound. Value Probl. 2019, Paper No. 158, 20 p. (2019). MSC: 35J47 35J50 35J91 PDFBibTeX XMLCite \textit{Y. He} et al., Bound. Value Probl. 2019, Paper No. 158, 20 p. (2019; Zbl 1513.35219) 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 PDFBibTeX XMLCite \textit{W. Zhang} et al., Appl. Math. Lett. 80, 79--87 (2018; Zbl 1394.35391) Full Text: DOI
Mederski, Jarosław The Brezis-Nirenberg problem for the curl-curl operator. (English) Zbl 1397.35298 J. Funct. Anal. 274, No. 5, 1345-1380 (2018). Reviewer: Jiang Xue (Beijing) MSC: 35Q60 35J20 58E05 35B38 78A25 35A15 PDFBibTeX XMLCite \textit{J. Mederski}, J. Funct. Anal. 274, No. 5, 1345--1380 (2018; Zbl 1397.35298) Full Text: DOI arXiv
Zhang, Jian; Zhang, Wen; Tang, Xianhua Existence and multiplicity of solutions for nonlinear Dirac-Poisson systems. (English) Zbl 1370.49005 Electron. J. Differ. Equ. 2017, Paper No. 91, 17 p. (2017). MSC: 49J35 35Q40 81V10 PDFBibTeX XMLCite \textit{J. Zhang} et al., Electron. J. Differ. Equ. 2017, Paper No. 91, 17 p. (2017; Zbl 1370.49005) Full Text: Link
Bartsch, Thomas; Mederski, Jarosław Nonlinear time-harmonic Maxwell equations in an anisotropic bounded medium. (English) Zbl 1386.35385 J. Funct. Anal. 272, No. 10, 4304-4333 (2017). Reviewer: Vincent Lescarret (Gif-sur-Yvette) MSC: 35Q60 35J20 58E05 78A25 78A60 PDFBibTeX XMLCite \textit{T. Bartsch} and \textit{J. Mederski}, J. Funct. Anal. 272, No. 10, 4304--4333 (2017; Zbl 1386.35385) Full Text: DOI arXiv
Gong, Wenmin; Lu, Guangcun On coupled Dirac systems. (English) Zbl 1362.53059 Discrete Contin. Dyn. Syst. 37, No. 8, 4329-4346 (2017). MSC: 53C27 57R58 58E05 58J05 PDFBibTeX XMLCite \textit{W. Gong} and \textit{G. Lu}, Discrete Contin. Dyn. Syst. 37, No. 8, 4329--4346 (2017; Zbl 1362.53059) Full Text: DOI
Tang, Xianhua; Zhang, Jian Ground state solutions of Nehari-Pankov type for a superlinear elliptic system on \(\mathbb{R}^N\). (English) Zbl 1358.35034 Math. Methods Appl. Sci. 40, No. 3, 729-740 (2017). MSC: 35J47 PDFBibTeX XMLCite \textit{X. Tang} and \textit{J. Zhang}, Math. Methods Appl. Sci. 40, No. 3, 729--740 (2017; Zbl 1358.35034) Full Text: DOI
Furtado, Marcelo F.; de Marchi, Reinaldo Existence of solutions to asymptotically periodic Schrödinger equations. (English) Zbl 1357.35139 Electron. J. Differ. Equ. 2017, Paper No. 15, 7 p. (2017). MSC: 35J61 PDFBibTeX XMLCite \textit{M. F. Furtado} and \textit{R. de Marchi}, Electron. J. Differ. Equ. 2017, Paper No. 15, 7 p. (2017; Zbl 1357.35139) Full Text: Link
Zhang, Jian; Tang, Xianhua; Zhang, Wen Ground states for diffusion system with periodic and asymptotically periodic nonlinearity. (English) Zbl 1443.35064 Comput. Math. Appl. 71, No. 2, 633-641 (2016). MSC: 35K51 35A15 35B10 35K57 PDFBibTeX XMLCite \textit{J. Zhang} et al., Comput. Math. Appl. 71, No. 2, 633--641 (2016; Zbl 1443.35064) Full Text: DOI
Qin, Dongdong; Tang, Xianhua Solutions on asymptotically periodic elliptic system with new conditions. (English) Zbl 1358.35032 Result. Math. 70, No. 3-4, 539-565 (2016). Reviewer: Marcelo Furtado (Brasília) MSC: 35J47 35J20 35J50 PDFBibTeX XMLCite \textit{D. Qin} and \textit{X. Tang}, Result. Math. 70, No. 3--4, 539--565 (2016; Zbl 1358.35032) Full Text: DOI
Zhang, Jian; Zhang, Wen; Xie, Xiaoliang Existence and concentration of semiclassical solutions for Hamiltonian elliptic system. (English) Zbl 1333.35053 Commun. Pure Appl. Anal. 15, No. 2, 599-622 (2016). Reviewer: Marius Ghergu (Dublin) MSC: 35J50 35B38 PDFBibTeX XMLCite \textit{J. Zhang} et al., Commun. Pure Appl. Anal. 15, No. 2, 599--622 (2016; Zbl 1333.35053) Full Text: DOI
Karamali, G.; Kalleji, M. Koozehgar Existence of infinitely many solutions for coupled system of Schrödinger-Maxwell’s equations. (English) Zbl 1424.35157 Casp. J. Math. Sci. 4, No. 1, 61-75 (2015). MSC: 35J47 35J50 35J91 PDFBibTeX XMLCite \textit{G. Karamali} and \textit{M. K. Kalleji}, Casp. J. Math. Sci. 4, No. 1, 61--75 (2015; Zbl 1424.35157) Full Text: Link
Zhang, Wen; Zhang, Jian; Zhao, Fukun Multiple solutions for asymptotically quadratic and superquadratic elliptic system of Hamiltonian type. (English) Zbl 1410.35032 Appl. Math. Comput. 263, 36-46 (2015). MSC: 35J57 35J50 35J91 35J60 PDFBibTeX XMLCite \textit{W. Zhang} et al., Appl. Math. Comput. 263, 36--46 (2015; Zbl 1410.35032) Full Text: DOI
Liao, Fang Fang; Tang, Xian Hua; Qin, Dong Dong New conditions on ground state solutions for Hamiltonian elliptic systems with gradient terms. (English) Zbl 1373.35118 Bull. Iran. Math. Soc. 41, No. 5, 1131-1146 (2015). MSC: 35J47 35J91 35J50 35B10 PDFBibTeX XMLCite \textit{F. F. Liao} et al., Bull. Iran. Math. Soc. 41, No. 5, 1131--1146 (2015; Zbl 1373.35118) Full Text: Link
Zhang, Wen; Tang, Xianhua; Zhang, Jian Ground state solutions for a diffusion system. (English) Zbl 1372.35134 Comput. Math. Appl. 69, No. 4, 337-346 (2015). MSC: 35K40 35K57 35A15 PDFBibTeX XMLCite \textit{W. Zhang} et al., Comput. Math. Appl. 69, No. 4, 337--346 (2015; Zbl 1372.35134) Full Text: DOI
Zhang, Jian; Tang, Xianhua; Zhang, Wen Ground state solutions for a class of nonlinear Maxwell-Dirac system. (English) Zbl 1375.35425 Topol. Methods Nonlinear Anal. 46, No. 2, 785-798 (2015). Reviewer: Lorenzo Zanelli (Padova) MSC: 35Q40 49J35 81V10 PDFBibTeX XMLCite \textit{J. Zhang} et al., Topol. Methods Nonlinear Anal. 46, No. 2, 785--798 (2015; Zbl 1375.35425) Full Text: DOI
Qin, Dongdong; Tang, Xianhua New conditions on solutions for periodic Schrödinger equations with spectrum zero. (English) Zbl 1357.35162 Taiwanese J. Math. 19, No. 4, 977-993 (2015). MSC: 35J91 35B10 35B38 35J20 PDFBibTeX XMLCite \textit{D. Qin} and \textit{X. Tang}, Taiwanese J. Math. 19, No. 4, 977--993 (2015; Zbl 1357.35162) Full Text: DOI
Kang, Xiaohong; Fan, Yongsheng Existence of positive solutions for a class of supercritical elliptic equations. (Chinese. English summary) Zbl 1349.35117 J. North Univ. China, Nat. Sci. 36, No. 3, 272-275, 281 (2015). MSC: 35J60 35B09 35B38 PDFBibTeX XMLCite \textit{X. Kang} and \textit{Y. Fan}, J. North Univ. China, Nat. Sci. 36, No. 3, 272--275, 281 (2015; Zbl 1349.35117) Full Text: DOI
Luo, Zhiming; Zhang, Jian; Zhang, Wen Ground state solutions for diffusion system with superlinear nonlinearity. (English) Zbl 1349.49011 Electron. J. Qual. Theory Differ. Equ. 2015, Paper No. 17, 12 p. (2015). MSC: 49J40 58E50 PDFBibTeX XMLCite \textit{Z. Luo} et al., Electron. J. Qual. Theory Differ. Equ. 2015, Paper No. 17, 12 p. (2015; Zbl 1349.49011) Full Text: DOI
Gong, Wenmin; Lu, Guangcun On Dirac equation with a potential and critical Sobolev exponent. (English) Zbl 1360.58016 Commun. Pure Appl. Anal. 14, No. 6, 2231-2263 (2015). Reviewer: Nadine Große (Leipzig) MSC: 58J05 58E05 53C27 PDFBibTeX XMLCite \textit{W. Gong} and \textit{G. Lu}, Commun. Pure Appl. Anal. 14, No. 6, 2231--2263 (2015; Zbl 1360.58016) Full Text: DOI
Tang, Xianhua Ground state solutions of Nehari-Pankov type for a superlinear Hamiltonian elliptic system on \({\mathbb{R}}^{N}\). (English) Zbl 1326.35132 Can. Math. Bull. 58, No. 3, 651-663 (2015). MSC: 35J50 35J47 PDFBibTeX XMLCite \textit{X. Tang}, Can. Math. Bull. 58, No. 3, 651--663 (2015; Zbl 1326.35132) Full Text: DOI
Zhang, Jian; Tang, Xianhua; Zhang, Wen Existence and multiplicity of stationary solutions for a class of Maxwell-Dirac system. (English) Zbl 1326.35305 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 127, 298-311 (2015). MSC: 35Q41 35Q60 81V10 18A30 PDFBibTeX XMLCite \textit{J. Zhang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 127, 298--311 (2015; Zbl 1326.35305) Full Text: DOI
Liao, Fangfang; Tang, Xianhua; Zhang, Jian; Qin, Dongdong Super-quadratic conditions for periodic elliptic system on \(\mathbb R^N\). (English) Zbl 1322.35022 Electron. J. Differ. Equ. 2015, Paper No. 127, 11 p. (2015). MSC: 35J47 PDFBibTeX XMLCite \textit{F. Liao} et al., Electron. J. Differ. Equ. 2015, Paper No. 127, 11 p. (2015; Zbl 1322.35022) Full Text: EMIS
Zhang, Jian; Tang, Xianhua; Zhang, Wen On semiclassical ground state solutions for Hamiltonian elliptic systems. (English) Zbl 1319.81039 Appl. Anal. 94, No. 7, 1380-1396 (2015). MSC: 81Q10 81Q20 35Q55 35J60 PDFBibTeX XMLCite \textit{J. Zhang} et al., Appl. Anal. 94, No. 7, 1380--1396 (2015; Zbl 1319.81039) Full Text: DOI
Liao, Fangfang; Tang, X. H.; Zhang, Jian Existence of solutions for periodic elliptic system with general superlinear nonlinearity. (English) Zbl 1323.35030 Z. Angew. Math. Phys. 66, No. 3, 689-701 (2015). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35J50 35J47 35J61 PDFBibTeX XMLCite \textit{F. Liao} et al., Z. Angew. Math. Phys. 66, No. 3, 689--701 (2015; Zbl 1323.35030) Full Text: DOI
Zhang, Jian; Tang, Xianhua; Zhang, Wen Infinitely many large energy solutions for superlinear Dirac equations. (English) Zbl 1318.35092 Math. Methods Appl. Sci. 38, No. 8, 1485-1493 (2015). MSC: 35Q40 49J35 PDFBibTeX XMLCite \textit{J. Zhang} et al., Math. Methods Appl. Sci. 38, No. 8, 1485--1493 (2015; Zbl 1318.35092) Full Text: DOI
Chen, Guan-Wei Superquadratic or asymptotically quadratic Hamiltonian systems: ground state homoclinic orbits. (English) Zbl 1337.37044 Ann. Mat. Pura Appl. (4) 194, No. 3, 903-918 (2015). Reviewer: Dorin Andrica (Riyadh) MSC: 37J45 37K05 58E05 PDFBibTeX XMLCite \textit{G.-W. Chen}, Ann. Mat. Pura Appl. (4) 194, No. 3, 903--918 (2015; Zbl 1337.37044) Full Text: DOI
Xu, Xiaoming; Kuang, Qiaoyan; Gong, Yanping Infinitely many solutions for superlinear periodic Hamiltonian elliptic systems. (English) Zbl 1311.35107 Bound. Value Probl. 2015, Paper No. 14, 13 p. (2015). MSC: 35J50 35J47 35B27 PDFBibTeX XMLCite \textit{X. Xu} et al., Bound. Value Probl. 2015, Paper No. 14, 13 p. (2015; Zbl 1311.35107) Full Text: DOI
Zhang, Jian; Tang, Xianhua; Zhang, Wen Ground states for nonlinear Maxwell-Dirac system with magnetic field. (English) Zbl 1304.35597 J. Math. Anal. Appl. 421, No. 2, 1573-1586 (2015). Reviewer: Marin I. Marin (Braşov) MSC: 35Q41 35Q61 35Q60 70H45 81Q05 81V10 PDFBibTeX XMLCite \textit{J. Zhang} et al., J. Math. Anal. Appl. 421, No. 2, 1573--1586 (2015; Zbl 1304.35597) Full Text: DOI
Liu, Guanggang; Shi, Shaoyun; Wei, Yucheng The existence of nontrivial critical point for class of strongly indefinite asymptotically quadratic functional without compactness. (English) Zbl 1362.58005 Topol. Methods Nonlinear Anal. 43, No. 2, 323-344 (2014). MSC: 58E05 34C25 35J57 35B38 PDFBibTeX XMLCite \textit{G. Liu} et al., Topol. Methods Nonlinear Anal. 43, No. 2, 323--344 (2014; Zbl 1362.58005) Full Text: DOI
Batkam, Cyril Joël; Colin, Fabrice; Kaczynski, Tomasz On differential systems with strongly indefinite variational structure. (English) Zbl 1372.35127 J. Fixed Point Theory Appl. 16, No. 1-2, 313-336 (2014). Reviewer: Fukun Zhao (Kunming) MSC: 35K20 47J30 PDFBibTeX XMLCite \textit{C. J. Batkam} et al., J. Fixed Point Theory Appl. 16, No. 1--2, 313--336 (2014; Zbl 1372.35127) Full Text: DOI arXiv
Zhang, Jian; Tang, Xianhua; Zhang, Wen Semiclassical solutions for a class of Schrödinger system with magnetic potentials. (English) Zbl 1311.35302 J. Math. Anal. Appl. 414, No. 1, 357-371 (2014). MSC: 35Q55 78A02 35A01 PDFBibTeX XMLCite \textit{J. Zhang} et al., J. Math. Anal. Appl. 414, No. 1, 357--371 (2014; Zbl 1311.35302) Full Text: DOI
Bonheure, D.; dos Santos, Ederson Moreira; Tavares, Hugo Hamiltonian elliptic systems: a guide to variational frameworks. (English) Zbl 1326.35126 Port. Math. (N.S.) 71, No. 3-4, 301-395 (2014). Reviewer: Yang Yang (Wuxi) MSC: 35J50 35B06 35B09 35J47 PDFBibTeX XMLCite \textit{D. Bonheure} et al., Port. Math. (N.S.) 71, No. 3--4, 301--395 (2014; Zbl 1326.35126) Full Text: DOI arXiv
Zhang, Jian; Tang, Xianhua; Zhang, Wen On ground state solutions for a superlinear Dirac equation. (English) Zbl 1313.35268 Acta Math. Sci., Ser. B, Engl. Ed. 34, No. 3, 840-850 (2014). MSC: 35Q41 35Q40 47J30 PDFBibTeX XMLCite \textit{J. Zhang} et al., Acta Math. Sci., Ser. B, Engl. Ed. 34, No. 3, 840--850 (2014; Zbl 1313.35268) Full Text: DOI
Zhang, Jian; Lv, Dingyang; Tang, Yi Homoclinic orbits for an infinite dimensional Hamiltonian system with periodic potential. (English) Zbl 1295.35010 J. Appl. Math. Comput. 44, No. 1-2, 133-146 (2014). MSC: 35A15 49J40 37C29 35G50 37K05 PDFBibTeX XMLCite \textit{J. Zhang} et al., J. Appl. Math. Comput. 44, No. 1--2, 133--146 (2014; Zbl 1295.35010) Full Text: DOI
Grumiau, Christopher; Troestler, Christophe Convergence of a mountain pass type algorithm for strongly indefinite problems and systems. (English) Zbl 1288.35215 Electron. J. Differ. Equ. 2014, Conf. 21, 129-147 (2014). MSC: 35J20 58E05 58E30 35B38 PDFBibTeX XMLCite \textit{C. Grumiau} and \textit{C. Troestler}, Electron. J. Differ. Equ. 2014, 129--147 (2014; Zbl 1288.35215) Full Text: arXiv EMIS
Zhang, Jian; Tang, Xianhua; Zhang, Wen Ground-state solutions for superquadratic Hamiltonian elliptic systems with gradient terms. (English) Zbl 1285.35027 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 95, 1-10 (2014). MSC: 35J47 PDFBibTeX XMLCite \textit{J. Zhang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 95, 1--10 (2014; Zbl 1285.35027) Full Text: DOI
Batkam, Cyril Joël; Colin, Fabrice Generalized Fountain Theorem and applications to strongly indefinite semilinear problems. (English) Zbl 1312.35096 J. Math. Anal. Appl. 405, No. 2, 438-452 (2013). Reviewer: Florin Catrina (New York) MSC: 35J61 35J47 PDFBibTeX XMLCite \textit{C. J. Batkam} and \textit{F. Colin}, J. Math. Anal. Appl. 405, No. 2, 438--452 (2013; Zbl 1312.35096) Full Text: DOI arXiv
Batkam, Cyril Joel; Colin, Fabrice On multiple solutions of a semilinear Schrödinger equation with periodic potential. (English) Zbl 1278.35224 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 84, 39-49 (2013). MSC: 35Q55 35Q60 35A02 PDFBibTeX XMLCite \textit{C. J. Batkam} and \textit{F. Colin}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 84, 39--49 (2013; Zbl 1278.35224) Full Text: DOI
Li, Gongbao; Wang, Chunhua Multiple solutions for a semilinear elliptic system in \(\mathbb R^N\). (English) Zbl 1284.35169 Math. Methods Appl. Sci. 36, No. 18, 2456-2466 (2013). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35J50 35J61 PDFBibTeX XMLCite \textit{G. Li} and \textit{C. Wang}, Math. Methods Appl. Sci. 36, No. 18, 2456--2466 (2013; Zbl 1284.35169) Full Text: DOI
Khaldi, Brahim; Megrez, Nasreddine Multiple positive solutions for a Hamiltonian system with an indefinite data function. (English) Zbl 1271.35018 Complex Var. Elliptic Equ. 58, No. 5, 699-713 (2013). MSC: 35J47 35J65 35J20 PDFBibTeX XMLCite \textit{B. Khaldi} and \textit{N. Megrez}, Complex Var. Elliptic Equ. 58, No. 5, 699--713 (2013; Zbl 1271.35018) Full Text: DOI
Gołȩbiewska, Anna Periodic solutions of asymptotically linear autonomous Hamiltonian systems. (English) Zbl 1259.37037 J. Math. Anal. Appl. 400, No. 1, 254-265 (2013). MSC: 37J45 37J20 70H05 70H12 70H30 PDFBibTeX XMLCite \textit{A. Gołȩbiewska}, J. Math. Anal. Appl. 400, No. 1, 254--265 (2013; Zbl 1259.37037) Full Text: DOI
Zhang, Jian; Qin, Wenping; Zhao, Fukun Existence and multiplicity of solutions for asymptotically linear nonperiodic Hamiltonian elliptic system. (English) Zbl 1345.35031 J. Math. Anal. Appl. 399, No. 2, 433-441 (2013). MSC: 35J47 35J50 35J91 PDFBibTeX XMLCite \textit{J. Zhang} et al., J. Math. Anal. Appl. 399, No. 2, 433--441 (2013; Zbl 1345.35031) Full Text: DOI
Sun, Juntao; Chen, Haibo; Chu, Jifeng On periodic Hamiltonian elliptic systems with spectrum point zero. (English) Zbl 1268.35048 Math. Nachr. 285, No. 17-18, 2233-2251 (2012). MSC: 35J47 35B38 35J50 35J91 PDFBibTeX XMLCite \textit{J. Sun} et al., Math. Nachr. 285, No. 17--18, 2233--2251 (2012; Zbl 1268.35048) Full Text: DOI
Zhang, Jian; Qin, Wenping; Zhao, Fukun Multiple solutions for a class of nonperiodic Dirac equations with vector potentials. (English) Zbl 1253.81059 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 14, 5589-5600 (2012). MSC: 81Q05 49S05 35Q55 81Q10 PDFBibTeX XMLCite \textit{J. Zhang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 14, 5589--5600 (2012; Zbl 1253.81059) Full Text: DOI
Zhang, Jian; Zhao, Fukun Multiple solutions for a semiclassical Schrödinger equation. (English) Zbl 1241.35193 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 4, 1834-1842 (2012). MSC: 35Q55 35J61 35A15 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{F. Zhao}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 4, 1834--1842 (2012; Zbl 1241.35193) Full Text: DOI
Zhao, Fukun; Zhao, Leiga; Ding, Yanheng Multiple solutions for a superlinear and periodic elliptic system on \({\mathbb{R}^N}\). (English) Zbl 1279.35038 Z. Angew. Math. Phys. 62, No. 3, 495-511 (2011). Reviewer: Mohammed Bouchekif (Tlemcen) MSC: 35J50 35J48 PDFBibTeX XMLCite \textit{F. Zhao} et al., Z. Angew. Math. Phys. 62, No. 3, 495--511 (2011; Zbl 1279.35038) Full Text: DOI
He, Shuying; Zhang, Rumei; Zhao, Fukun A note on a superlinear and periodic elliptic system in the whole space. (English) Zbl 1237.35047 Commun. Pure Appl. Anal. 10, No. 4, 1149-1163 (2011). Reviewer: Junichi Aramaki (Saitama) MSC: 35J50 35J10 35J47 35A15 PDFBibTeX XMLCite \textit{S. He} et al., Commun. Pure Appl. Anal. 10, No. 4, 1149--1163 (2011; Zbl 1237.35047) Full Text: DOI
Isobe, Takeshi Existence results for solutions to nonlinear Dirac equations on compact spin manifolds. (English) Zbl 1222.58012 Manuscr. Math. 135, No. 3-4, 329-360 (2011). Reviewer: Dumitru Motreanu (Perpignan) MSC: 58J05 58E05 53C27 PDFBibTeX XMLCite \textit{T. Isobe}, Manuscr. Math. 135, No. 3--4, 329--360 (2011; Zbl 1222.58012) Full Text: DOI
Zhang, Rumei; Chen, Jin; Zhao, Fukun Multiple solutions for superlinear elliptic systems of Hamiltonian type. (English) Zbl 1223.35149 Discrete Contin. Dyn. Syst. 30, No. 4, 1249-1262 (2011). MSC: 35J50 35J61 PDFBibTeX XMLCite \textit{R. Zhang} et al., Discrete Contin. Dyn. Syst. 30, No. 4, 1249--1262 (2011; Zbl 1223.35149) Full Text: DOI
Gołȩbiewska, Anna; Rybicki, Sławomir Global bifurcations of critical orbits of \(G\)-invariant strongly indefinite functionals. (English) Zbl 1229.47083 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 5, 1823-1834 (2011). Reviewer: Dorota Gabor (Toruń) MSC: 47H11 37G40 PDFBibTeX XMLCite \textit{A. Gołȩbiewska} and \textit{S. Rybicki}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 5, 1823--1834 (2011; Zbl 1229.47083) Full Text: DOI
Zhao, Fukun; Zhao, Leiga; Ding, Yanheng Infinitely many solutions for asymptotically linear periodic Hamiltonian elliptic systems. (English) Zbl 1189.35091 ESAIM, Control Optim. Calc. Var. 16, No. 1, 77-91 (2010). MSC: 35J57 35J50 35J47 PDFBibTeX XMLCite \textit{F. Zhao} et al., ESAIM, Control Optim. Calc. Var. 16, No. 1, 77--91 (2010; Zbl 1189.35091) Full Text: DOI EuDML
Chen, Kuan-Ju Multiplicity for strongly indefinite semilinear elliptic system. (English) Zbl 1183.35110 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 2, 806-821 (2010). MSC: 35J47 35J50 35J61 35B38 PDFBibTeX XMLCite \textit{K.-J. Chen}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 2, 806--821 (2010; Zbl 1183.35110) Full Text: DOI
Bonheure, Denis; Ramos, Miguel Multiple critical points of perturbed symmetric strongly indefinite functionals. (English) Zbl 1163.35013 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 2, 675-688 (2009); erratum ibid. 26, No. 3, 1049-1054 (2009). MSC: 35J50 35J55 58E05 35B38 PDFBibTeX XMLCite \textit{D. Bonheure} and \textit{M. Ramos}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 2, 675--688 (2009; Zbl 1163.35013) Full Text: DOI EuDML
Ding, Yanheng; Zhao, Fukun On a diffusion system with bounded potential. (English) Zbl 1173.35522 Discrete Contin. Dyn. Syst. 23, No. 3, 1073-1086 (2009). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 35K50 35K57 47J30 49J40 PDFBibTeX XMLCite \textit{Y. Ding} and \textit{F. Zhao}, Discrete Contin. Dyn. Syst. 23, No. 3, 1073--1086 (2009; Zbl 1173.35522) Full Text: DOI
Zhao, Fukun; Zhao, Leiga; Ding, Yanheng Existence and multiplicity of solutions for a non-periodic Schrödinger equation. (English) Zbl 1159.35431 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 11, 3671-3678 (2008). MSC: 35Q55 58E05 35A15 PDFBibTeX XMLCite \textit{F. Zhao} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 11, 3671--3678 (2008; Zbl 1159.35431) Full Text: DOI
Esteban, Maria J.; Lewin, Mathieu; Séré, Eric Variational methods in relativistic quantum mechanics. (English) Zbl 1288.49016 Bull. Am. Math. Soc., New Ser. 45, No. 4, 535-593 (2008). MSC: 49S05 35J60 35P30 35Q75 81Q05 81V70 81V45 81V55 PDFBibTeX XMLCite \textit{M. J. Esteban} et al., Bull. Am. Math. Soc., New Ser. 45, No. 4, 535--593 (2008; Zbl 1288.49016) Full Text: DOI arXiv
Ding, Yanheng Variational methods for strongly indefinite problems. (English) Zbl 1133.49001 Interdisciplinary Mathematical Sciences 7. Hackensack, NJ: World Scientific (ISBN 978-981-270-962-2/hbk). viii, 168 p. (2007). Reviewer: Aleksander Pankov (Baltimore) MSC: 49-02 35-02 PDFBibTeX XMLCite \textit{Y. Ding}, Variational methods for strongly indefinite problems. Hackensack, NJ: World Scientific (2007; Zbl 1133.49001)
Tarsi, Cristina Perturbation of symmetry and multiplicity of solutions for strongly indefinite elliptic systems. (English) Zbl 1378.35107 Adv. Nonlinear Stud. 7, No. 1, 1-30 (2007). MSC: 35J57 35A30 35J60 47J15 47J30 58E05 PDFBibTeX XMLCite \textit{C. Tarsi}, Adv. Nonlinear Stud. 7, No. 1, 1--30 (2007; Zbl 1378.35107) Full Text: DOI arXiv
Massa, Eugenio Multiplicity results for a superlinear elliptic system with partial interference with the spectrum. (English) Zbl 1143.35026 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 1, 295-306 (2007). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35J55 35J50 49J35 PDFBibTeX XMLCite \textit{E. Massa}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 1, 295--306 (2007; Zbl 1143.35026) Full Text: DOI
Ding, Yanheng Multiple homoclinics in a Hamiltonian system with asymptotically or super linear terms. (English) Zbl 1104.70013 Commun. Contemp. Math. 8, No. 4, 453-480 (2006). MSC: 70K44 70H05 PDFBibTeX XMLCite \textit{Y. Ding}, Commun. Contemp. Math. 8, No. 4, 453--480 (2006; Zbl 1104.70013) Full Text: DOI
Zou, Wenming; Schechter, Martin Critical point theory and its applications. (English) Zbl 1125.58004 New York, NY: Springer (ISBN 0-387-32965-X; 0-387-32968-4/ebook). xii, 318 p. (2006). Reviewer: Wojciech Kryszewski (Toruń) MSC: 58E05 35J10 58-02 35-02 35J15 35J65 35B38 PDFBibTeX XMLCite \textit{W. Zou} and \textit{M. Schechter}, Critical point theory and its applications. New York, NY: Springer (2006; Zbl 1125.58004)
Bartsch, Thomas; Ding, Yanheng Solutions of nonlinear Dirac equations. (English) Zbl 1126.49003 J. Differ. Equations 226, No. 1, 210-249 (2006). Reviewer: Stepan Agop Tersian (Rousse) MSC: 49J35 35Q40 PDFBibTeX XMLCite \textit{T. Bartsch} and \textit{Y. Ding}, J. Differ. Equations 226, No. 1, 210--249 (2006; Zbl 1126.49003) Full Text: DOI
Ding, Yanheng; Lee, Cheng Multiple solutions of Schrödinger equations with indefinite linear part and super or asymptotically linear terms. (English) Zbl 1090.35077 J. Differ. Equations 222, No. 1, 137-163 (2006). MSC: 35J60 35Q55 PDFBibTeX XMLCite \textit{Y. Ding} and \textit{C. Lee}, J. Differ. Equations 222, No. 1, 137--163 (2006; Zbl 1090.35077) Full Text: DOI
Ding, Yanheng; Lee, Cheng Periodic solutions of an infinite dimensional Hamiltonian system. (English) Zbl 1102.35008 Rocky Mt. J. Math. 35, No. 6, 1881-1908 (2005). Reviewer: Thomas J. Bartsch (Gießen) MSC: 35B10 35A15 37K05 PDFBibTeX XMLCite \textit{Y. Ding} and \textit{C. Lee}, Rocky Mt. J. Math. 35, No. 6, 1881--1908 (2005; Zbl 1102.35008) Full Text: DOI
Abbondandolo, Alberto; Majer, Pietro A Morse complex for infinite dimensional manifolds. I. (English) Zbl 1082.58012 Adv. Math. 197, No. 2, 321-410 (2005). MSC: 58E05 57R57 PDFBibTeX XMLCite \textit{A. Abbondandolo} and \textit{P. Majer}, Adv. Math. 197, No. 2, 321--410 (2005; Zbl 1082.58012) Full Text: DOI arXiv
Guo, Yuxia; Liu, Jiaquan; Zeng, Pingan A new Morse index theory for strongly indefinite functionals. (English) Zbl 1061.58010 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 57, No. 4, 485-504 (2004). Reviewer: Thomas J. Bartsch (Gießen) MSC: 58E05 PDFBibTeX XMLCite \textit{Y. Guo} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 57, No. 4, 485--504 (2004; Zbl 1061.58010) Full Text: DOI
Clapp, Mónica; Ding, Yanheng; Hernández-Linares, Sergio Strongly indefinite functionals with perturbed symmetries and multiple solutions of nonsymmetric elliptic systems. (English) Zbl 1109.35324 Electron. J. Differ. Equ. 2004, Paper No. 100, 18 p. (2004). MSC: 35J50 35J65 47J30 58E05 PDFBibTeX XMLCite \textit{M. Clapp} et al., Electron. J. Differ. Equ. 2004, Paper No. 100, 18 p. (2004; Zbl 1109.35324) Full Text: EuDML EMIS
Abbondandolo, A.; Benci, V.; Fortunato, D.; Masiello, A. On the Morse inequalities for geodesics on Lorentzian manifolds. (English) Zbl 1056.53042 Math. Res. Lett. 10, No. 4, 435-445 (2003). Reviewer: Dean E. Allison (Greeley) MSC: 53C50 53C22 57R19 58E05 PDFBibTeX XMLCite \textit{A. Abbondandolo} et al., Math. Res. Lett. 10, No. 4, 435--445 (2003; Zbl 1056.53042) Full Text: DOI
Marino, Antonio; Saccon, Claudio Nabla theorems and multiple solutions for some noncooperative elliptic systems. (English) Zbl 1050.58014 Topol. Methods Nonlinear Anal. 17, No. 2, 213-237 (2001). MSC: 58E30 58E05 35J50 PDFBibTeX XMLCite \textit{A. Marino} and \textit{C. Saccon}, Topol. Methods Nonlinear Anal. 17, No. 2, 213--237 (2001; Zbl 1050.58014) Full Text: DOI
Rybicki, Sławomir Degree for \(S^1\)-equivariant strongly indefinite functionals. (English) Zbl 0997.47050 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 43, No. 8, 1001-1017 (2001). Reviewer: Radu Precup (Cluj-Napoca) MSC: 47H11 47J15 37K50 PDFBibTeX XMLCite \textit{S. Rybicki}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 43, No. 8, 1001--1017 (2001; Zbl 0997.47050) Full Text: DOI
Izydorek, Marek A cohomological Conley index in Hilbert spaces and applications to strongly indefinite problems. (English) Zbl 0973.37008 J. Differ. Equations 170, No. 1, 22-50 (2001). Reviewer: Thomas J.Bartsch (Gießen) MSC: 37B30 37J45 PDFBibTeX XMLCite \textit{M. Izydorek}, J. Differ. Equations 170, No. 1, 22--50 (2001; Zbl 0973.37008) Full Text: DOI Link
Silva, Elves A. B. Nontrivial solutions for noncooperative elliptic systems at resonance. (English) Zbl 0963.35061 Electron. J. Differ. Equ. 2001, Conf. 06, 267-283 (2001). MSC: 35J65 35J50 58E05 PDFBibTeX XMLCite \textit{E. A. B. Silva}, Electron. J. Differ. Equ. 2001, 267--283 (2001; Zbl 0963.35061) Full Text: EuDML EMIS
Troestler, C. Strongly indefinite variational problems with lack of compactness. (English) Zbl 0962.35050 Magalhães, L. (ed.) et al., International conference on differential equations. Papers from the conference, EQUADIFF 95, Lisboa, Portugal, July 24-29, 1995. Singapore: World Scientific. 536-540 (1998). MSC: 35J20 35J10 35A15 PDFBibTeX XMLCite \textit{C. Troestler}, in: International conference on differential equations. Papers from the conference, EQUADIFF 95, Lisboa, Portugal, July 24--29, 1995. Singapore: World Scientific. 536--540 (1998; Zbl 0962.35050)
Schechter, Martin Infinite-dimensional linking. (English) Zbl 0953.58009 Duke Math. J. 94, No. 3, 573-595 (1998). Reviewer: Vitaly Moroz (Padova) MSC: 58E05 35J60 47J05 PDFBibTeX XMLCite \textit{M. Schechter}, Duke Math. J. 94, No. 3, 573--595 (1998; Zbl 0953.58009) Full Text: DOI
Felmer, Patricio; Wang, Zhi-Qiang Multiplicity for symmetric indefinite functionals: Application to Hamiltonian and elliptic systems. (English) Zbl 0931.35044 Topol. Methods Nonlinear Anal. 12, No. 2, 207-226 (1998). MSC: 35J50 58E05 PDFBibTeX XMLCite \textit{P. Felmer} and \textit{Z.-Q. Wang}, Topol. Methods Nonlinear Anal. 12, No. 2, 207--226 (1998; Zbl 0931.35044) Full Text: DOI
Hulshof, Josephus; Mitidieri, Enzo; vanderVorst, Robertus Strongly indefinite systems with critical Sobolev exponents. (English) Zbl 0908.35034 Trans. Am. Math. Soc. 350, No. 6, 2349-2365 (1998). Reviewer: G.Hetzer (Auburn) MSC: 35J50 35J65 35J55 PDFBibTeX XMLCite \textit{J. Hulshof} et al., Trans. Am. Math. Soc. 350, No. 6, 2349--2365 (1998; Zbl 0908.35034) Full Text: DOI
Abbondandolo, Alberto A new cohomology for the Morse theory of strongly indefinite functionals on Hilbert spaces. (English) Zbl 0906.58007 Topol. Methods Nonlinear Anal. 9, No. 2, 325-382 (1997). Reviewer: Th.J.Bartsch (Gießen) MSC: 58E05 55N20 PDFBibTeX XMLCite \textit{A. Abbondandolo}, Topol. Methods Nonlinear Anal. 9, No. 2, 325--382 (1997; Zbl 0906.58007) Full Text: DOI
Costa, David G.; Magalhães, Celius A. A unified approach to a class of strongly indefinite functionals. (English) Zbl 0890.47038 J. Differ. Equations 125, No. 2, 521-547 (1996). Reviewer: M.Perelmuter (Kyïv) MSC: 47J20 58E05 46A22 47F05 PDFBibTeX XMLCite \textit{D. G. Costa} and \textit{C. A. Magalhães}, J. Differ. Equations 125, No. 2, 521--547 (1996; Zbl 0890.47038) Full Text: DOI
Fournier, G.; Lupo, D.; Ramos, M.; Willem, M. Limit relative category and critical point theory. (English) Zbl 0794.58007 Jones, Christopher K. R. T. (ed.) et al., Dynamics reported. Expositions in dynamical systems. New series. Volume 3. Berlin: Springer-Verlag. 1-24 (1994). Reviewer: B.V.Loginov (Ulyanovsk) MSC: 58E05 53C60 PDFBibTeX XMLCite \textit{G. Fournier} et al., in: Dynamics reported. Expositions in dynamical systems. New series. Volume 3. Berlin: Springer-Verlag. 1--24 (1994; Zbl 0794.58007)
Fournier, G.; Timoumi, M.; Willem, M. The limiting case for strongly indefinite functionals. (English) Zbl 0843.58020 Rapp., Sémin. Math., Louvain, Nouv. Sér. 201-220, 203-211 (1992). Reviewer: Th.J.Bartsch (Zürich) MSC: 58E05 70J35 PDFBibTeX XMLCite \textit{G. Fournier} et al., Rapp., Sémin. Math., Louvain, Nouv. Sér. 201--220, 203--211 (1992; Zbl 0843.58020)
Heinz, Hans-Peter Lacunary bifurcation for operator equations and nonlinear boundary value problems on \(\mathbb{R}{}^ N\). (English) Zbl 0765.47017 Proc. R. Soc. Edinb., Sect. A 118, No. 3-4, 237-270 (1991). Reviewer: V.Mustonen (Oulu) MSC: 47J05 47J10 58E07 35J20 PDFBibTeX XMLCite \textit{H.-P. Heinz}, Proc. R. Soc. Edinb., Sect. A, Math. 118, No. 3--4, 237--270 (1991; Zbl 0765.47017) Full Text: DOI
Hofer, Helmut Lagrangian embeddings and critical point theory. (English) Zbl 0591.58009 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 2, 407-462 (1985). Reviewer: A.Givental’ MSC: 37J99 PDFBibTeX XMLCite \textit{H. Hofer}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 2, 407--462 (1985; Zbl 0591.58009) Full Text: DOI Numdam EuDML