Shen, Liejun; Squassina, Marco Concentrating normalized solutions to planar Schrödinger-Poisson system with steep potential well: critical exponential case. (English) Zbl 07974593 NoDEA, Nonlinear Differ. Equ. Appl. 32, No. 1, Paper No. 15, 31 p. (2025). MSC: 35J61 35J15 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Wei, Jiuyang; Zhang, Limin Ground state solutions of Nehari-Pohozaev type for Schrödinger-Poisson equation with zero-mass and weighted Hardy Sobolev subcritical exponent. (English) Zbl 07965946 J. Geom. Anal. 35, No. 2, Paper No. 48, 23 p. (2025). MSC: 35J61 35J15 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Romani, Giulio Schrödinger-Poisson systems with zero mass in the Sobolev limiting case. (English) Zbl 07954996 Math. Nachr. 297, No. 9, 3501-3530 (2024). MSC: 35Jxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Jin-Fu; Zhang, Jia-Feng; Li, Wen-Min; Qin, Qin Existence of infinitely many solutions for a class of Schrödinger-Poisson equations without any growth and Ambrosetti-Rabinowitz conditions in \(\mathbb{R}^N\). (English) Zbl 07938261 Complex Var. Elliptic Equ. 69, No. 11, 1841-1852 (2024). MSC: 35J61 35J15 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
de Paula Ramos, Gustavo; Siciliano, Gaetano Existence and concentration of semiclassical bound states for a quasilinear Schrödinger-Poisson system. (English) Zbl 07935941 Bull. Malays. Math. Sci. Soc. (2) 47, No. 6, Paper No. 180, 26 p. (2024). MSC: 35J47 35J92 35J05 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Peng, Xueqin Existence and multiplicity of solutions for the Schrödinger-Poisson equation with prescribed mass. (English) Zbl 1546.35080 Anal. Math. Phys. 14, No. 5, Paper No. 102, 41 p. (2024). MSC: 35J61 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Huaijun; Liu, Xia Unconditionally convergence and superconvergence error analysis of a mass- and energy-conserved finite element method for the Schrödinger-Poisson equation. (English) Zbl 07884751 Comput. Appl. Math. 43, No. 5, Paper No. 302, 18 p. (2024). MSC: 65Mxx 35Qxx 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Tang, Yuejuan; Huang, Yisheng; Liu, Zeng; Moroz, Vitaly Symmetry breaking and multiple solutions for the Schrödinger-Poisson-Slater equation. (English) Zbl 1542.35174 Z. Angew. Math. Phys. 75, No. 3, Paper No. 114, 19 p. (2024). MSC: 35J61 35A01 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yiqing; Rădulescu, Vicenţiu D.; Zhang, Binlin Critical planar Schrödinger-Poisson equations: existence, multiplicity and concentration. (English) Zbl 1546.35076 Math. Z. 307, No. 3, Paper No. 43, 25 p. (2024). MSC: 35J61 35B33 35A01 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Die; Tang, Xianhua; Jin, Peng Normalized solutions for Schrödinger-Poisson equation with prescribed mass: the Sobolev subcritical case and the Sobolev critical case with mixed dispersion. (English) Zbl 1540.35196 J. Math. Anal. Appl. 531, No. 1, Part 2, Article ID 127756, 33 p. (2024). MSC: 35J61 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Yating; Luo, Huxiao Normalized solutions for nonautonomous Schrödinger-Poisson equations. (English) Zbl 1539.35046 Z. Angew. Math. Phys. 75, No. 3, Paper No. 86, 26 p. (2024). MSC: 35J15 35J61 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Feng, Shenghao; Chen, Jianhua; Sun, Jijiang; Huang, Xianjiu Least energy sign-changing solutions for fractional critical Kirchhoff-Schrödinger-Poisson with steep potential well. (English) Zbl 1537.35376 Fract. Calc. Appl. Anal. 27, No. 1, 124-156 (2024). MSC: 35R11 35J05 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Jie; Liu, Lintao; Chen, Haibo Ground state solutions for fractional Choquard-Schrödinger-Poisson system with critical growth. (English) Zbl 1535.35082 J. Nonlinear Var. Anal. 8, No. 1, 67-93 (2024). MSC: 35J61 35R11 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Lei, Jun; Suo, Hongmin Existence and nonexistence of ground state solutions for a Schrödinger-Poisson-Slater equation. (English) Zbl 1542.35171 Complex Var. Elliptic Equ. 69, No. 4, 667-676 (2024). MSC: 35J61 35Q55 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Lanxin; Su, Jiabao Multiple solutions for nonhomogeneous quasilinear Schrödinger-Poisson system. (English) Zbl 07920388 J. Appl. Anal. Comput. 13, No. 3, 1597-1612 (2023). MSC: 35J10 35J50 35J60 35J92 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Ganglong Group invariant solutions for the Planar Schrödinger-Poisson equations. (English) Zbl 1533.35086 Electron. Res. Arch. 31, No. 11, 6763-6789 (2023). MSC: 35J10 35Q55 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Shuyan; Guo, Zuji Normalized ground state solutions for a class of nonlinear Schrödinger-Poisson equation. (Chinese. English summary) Zbl 1549.35228 Acta Math. Appl. Sin. 46, No. 6, 938-951 (2023). MSC: 35J61 35J47 35A15 35B09 × Cite Format Result Cite Review PDF Full Text: Link
Yang, Jie; Liu, Lintao; Chen, Haibo Ground states for nonlinear fractional Schrödinger-Poisson systems with general convolution nonlinearities. (English) Zbl 1531.35378 Math. Methods Appl. Sci. 46, No. 16, 17581-17606 (2023). MSC: 35R11 35J47 35J61 49J35 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xiaoping; Chen, Fulai; Liao, Fangfang Existence and nonexistence of nontrivial solutions for the Schrödinger-Poisson system with zero mass potential. (English) Zbl 1522.35231 Adv. Nonlinear Anal. 12, Article ID 20220319, 12 p. (2023). MSC: 35J57 35J10 35J05 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Wen, Lixi; Zhang, Wen Groundstates and infinitely many solutions for the Schrödinger-Poisson equation with magnetic field. (English) Zbl 1520.35078 Discrete Contin. Dyn. Syst., Ser. S 16, No. 6, 1686-1700 (2023). MSC: 35J62 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Lei, Chunyu; Rădulescu, Vicenţiu D.; Zhang, Binlin Groundstates of the Schrödinger-Poisson-Slater equation with critical growth. (English) Zbl 1518.35339 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 3, Paper No. 128, 34 p. (2023). MSC: 35J61 35Q55 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Zheng, Tian-Tian; Lei, Chun-Yu; Liao, Jia-Feng Multiple positive solutions for a Schrödinger-Poisson-Slater equation with critical growth. (English) Zbl 1514.35226 J. Math. Anal. Appl. 525, No. 2, Article ID 127206, 26 p. (2023). MSC: 35J91 35J15 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Lei, Chunyu; Lei, Jun; Suo, Hongmin Groundstate for the Schrödinger-Poisson-Slater equation involving the Coulomb-Sobolev critical exponent. (English) Zbl 1514.35194 Adv. Nonlinear Anal. 12, Article ID 20220299, 17 p. (2023). MSC: 35J61 35B33 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Mo, Yichun; Zhu, Min; Feng, Binhua Blow-up criteria and instability of standing waves for the fractional Schrödinger Poisson equation. (English) Zbl 1512.35280 Electron. J. Differ. Equ. 2023, Paper No. 24, 23 p. (2023). MSC: 35J61 35Q55 35J20 × Cite Format Result Cite Review PDF Full Text: Link
Li, Yiqing; Zhang, Binlin; Han, Xiumei Existence and concentration behavior of positive solutions to Schrödinger-Poisson-Slater equations. (English) Zbl 1512.35277 Adv. Nonlinear Anal. 12, Article ID 20220293, 23 p. (2023). MSC: 35J61 35A01 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Ye, Bo Sign-changing solutions for Schrödinger-Poisson system with local nonlinearity. (English) Zbl 1506.35065 Mediterr. J. Math. 20, No. 1, Paper No. 30, 10 p. (2023). MSC: 35J47 35J05 35J10 35A01 35J50 × Cite Format Result Cite Review PDF Full Text: DOI
Peng, Xueqin; Jia, Gao Existence and concentration behavior of solutions for the logarithmic Schrödinger-Poisson system with steep potential. (English) Zbl 1505.35149 Z. Angew. Math. Phys. 74, No. 1, Paper No. 29, 21 p. (2023). MSC: 35J47 35J10 35J05 35J61 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Jin-Fu; Guo, Wei; Li, Wen-Min; Zhang, Jia-Feng Existence of normalized solutions for a class of Kirchhoff-Schrödinger-Poisson equations in \(\mathbb{R}^3\). (English) Zbl 1506.35091 Ann. Funct. Anal. 14, No. 1, Paper No. 13, 24 p. (2023). MSC: 35J62 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xiaoping; Liao, Fangfang Existence and nonexistence of solutions for Schrödinger-Poisson problems. (English) Zbl 1506.35064 J. Geom. Anal. 33, No. 2, Paper No. 56, 11 p. (2023). MSC: 35J47 35J05 35J10 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Molle, Riccardo; Sardilli, Andrea On a planar Schrödinger-Poisson system involving a non-symmetric potential. (English) Zbl 1511.35150 Proc. Edinb. Math. Soc., II. Ser. 65, No. 4, 1133-1146 (2022). MSC: 35J50 35J47 35J91 35J10 35J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hitrik, Michael; Mantile, Andrea; Sjoestrand, Johannes Adiabatic evolution and shape resonances. (English) Zbl 1505.35002 Memoirs of the American Mathematical Society 1380. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5421-0/pbk; 978-1-4704-7280-1/ebook). v, 90 p. (2022). Reviewer: Sönke Hansen (Paderborn) MSC: 35-02 35A27 35B34 35J10 35P20 35Q81 35S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dong, Xiaojing; Mao, Anmin Quasilinear Schrödinger-Poisson equations involving a nonlocal term and an integral constraint. (English) Zbl 1501.35137 Sci. China, Math. 65, No. 11, 2297-2324 (2022). MSC: 35J05 35J10 35J62 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Mengxue; Li, Fanghui; Wang, Zhengping Multiplicity of normalized solutions for nonlinear Schrödinger-Poisson equation with Hardy potential. (Chinese. English summary) Zbl 1513.35171 Acta Math. Sci., Ser. A, Chin. Ed. 42, No. 2, 442-453 (2022). MSC: 35J20 35J60 × Cite Format Result Cite Review PDF Full Text: Link
Liu, Senli; Su, Yu; Wang, Sainan Ground state solution of Schrödinger-Poisson-Choquard equation: double critical case. (English) Zbl 1496.35207 Result. Math. 77, No. 4, Paper No. 156, 34 p. (2022). MSC: 35J61 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Caixia; Qian, Aixia Multiple positive solutions for the Schrödinger-Poisson equation with critical growth. (English) Zbl 1497.35101 Math. Found. Comput. 5, No. 2, 113-128 (2022). MSC: 35J05 35J57 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Jing; Niu, Rui; Han, Xiumei Positive solutions for a nonhomogeneous Schrödinger-Poisson system. (English) Zbl 1485.35180 Adv. Nonlinear Anal. 11, 1201-1222 (2022). MSC: 35J47 35J10 35J05 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Zeng; Moroz, Vitaly Asymptotic profile of ground states for the Schrödinger-Poisson-Slater equation. (English) Zbl 1485.35204 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 218, Article ID 112778, 8 p. (2022). MSC: 35J61 35B40 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fan, Haining; Feng, Zhaosheng; Yan, Xingjie Positive solutions of fractional Schrödinger-Poisson systems involving critical nonlinearities with potential. (English) Zbl 1499.35634 Differ. Integral Equ. 35, No. 1-2, 1-56 (2022). Reviewer: Pasquale Candito (Reggio Calabria) MSC: 35R11 35J10 35A15 35B09 35B33 35J05 × Cite Format Result Cite Review PDF Full Text: arXiv
Yi, Nianyu; Liu, Hailiang A mass- and energy-conserved DG method for the Schrödinger-Poisson equation. (English) Zbl 1483.35230 Numer. Algorithms 89, No. 2, 905-930 (2022). MSC: 35Q55 35Q60 65M60 65M06 65N30 65M15 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Shubin; Zhang, Ziheng Sufficient and necessary conditions for ground state sign-changing solutions to the Schrödinger-Poisson system with cubic nonlinearity on bounded domains. (English) Zbl 1479.35373 Appl. Math. Lett. 123, Article ID 107570, 5 p. (2022). MSC: 35J57 35J10 35J05 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Yao; Su, Jiabao; Wang, Cong On a quasilinear Schrödinger-Poisson system. (English) Zbl 1479.35336 J. Math. Anal. Appl. 505, No. 1, Article ID 125446, 14 p. (2022). MSC: 35J47 35J92 35J05 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jiang, Yongsheng; Wei, Na; Wu, Yonghong Multiple solutions for the Schrödinger-Poisson equation with a general nonlinearity. (English) Zbl 1513.35176 Acta Math. Sci., Ser. B, Engl. Ed. 41, No. 3, 703-711 (2021). MSC: 35J20 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
Peng, Qiu Ying; Ou, Zeng-Qi; Lv, Ying Ground state solutions for the fractional Schrödinger-Poisson system with critical growth. (English) Zbl 1498.35200 Chaos Solitons Fractals 144, Article ID 110650, 8 p. (2021). MSC: 35J10 × Cite Format Result Cite Review PDF Full Text: DOI
Jin, Tiankun Multiplicity of solutions for a fractional Schrödinger-Poisson system without (PS) condition. (English) Zbl 1485.35157 AIMS Math. 6, No. 8, 9048-9058 (2021). MSC: 35J20 35R11 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Peng, Linyan; Suo, Hongmin; Wu, Deke; Feng, Hongxi; Lei, Chunyu Multiple positive solutions for a logarithmic Schrödinger-Poisson system with singular nonelinearity. (English) Zbl 1499.35018 Electron. J. Qual. Theory Differ. Equ. 2021, Paper No. 90, 15 p. (2021). MSC: 35A15 35A20 35J10 × Cite Format Result Cite Review PDF Full Text: DOI
Liao, Jiafeng; Chen, Qingfang; Zhu, Lijun Existence of positive solutions for the nonhomogeneous Schrödinger-Poisson system with strong singularity. (English) Zbl 1488.35030 J. Partial Differ. Equations 34, No. 2, 186-200 (2021). MSC: 35B09 35J10 35J05 35J75 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Xiaoyan; He, Yubo; Tang, Xianhua Ground state solutions of Schrödinger-Poisson systems with asymptotically constant potential. (English) Zbl 1502.35156 Asymptotic Anal. 124, No. 1-2, 29-49 (2021). MSC: 35Q55 35Q60 35J10 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Hangzhou; Li, Yuan; Zhao, Dun Ground state for fractional Schrödinger-Poisson equation in Coulomb-Sobolev space. (English) Zbl 1479.35014 Discrete Contin. Dyn. Syst., Ser. S 14, No. 6, 1899-1916 (2021). MSC: 35A15 35J61 35Q55 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Qian; Wei, Na Stability of ground state for the Schrödinger-Poisson equation. (English) Zbl 1476.93146 J. Ind. Manag. Optim. 17, No. 5, 2805-2816 (2021). MSC: 93D99 35Q41 35Q55 35B35 × Cite Format Result Cite Review PDF Full Text: DOI
Guan, Wen; Ma, Lu-Ping; Wang, Da-Bin; Zhang, Jin-Long Infinitely many solutions for a class of sublinear fractional Schrödinger-Poisson systems. (English) Zbl 1480.35113 Quaest. Math. 44, No. 9, 1197-1207 (2021). MSC: 35J05 35J10 35R11 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Yao; Su, Jiabao Ground state solutions for Schrödinger-Poisson systems with multiple weighted critical exponents. (English) Zbl 1479.35268 NoDEA, Nonlinear Differ. Equ. Appl. 28, No. 6, Paper No. 66, 33 p. (2021). MSC: 35J10 35J05 35J57 35B33 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Qian, Aixia; Zhang, Mingming Ground state sign-changing solutions for a class of Schrödinger-Poisson-Kirchhoff type problems with a critical nonlinearity in \(\mathbb{R}^3\). (English) Zbl 1479.35347 J. Korean Math. Soc. 58, No. 5, 1181-1209 (2021). MSC: 35J47 35J60 35J05 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Lintao; Chen, Haibo The nontrivial solutions for fractional Schrödinger-Poisson equations with magnetic fields and critical or supercritical growth. (English) Zbl 1475.35394 Appl. Math. Lett. 121, Article ID 107358, 9 p. (2021). MSC: 35R11 35J62 35R09 × Cite Format Result Cite Review PDF Full Text: DOI
Jeanjean, Louis; Le, Thanh Trung Multiple normalized solutions for a Sobolev critical Schrödinger-Poisson-Slater equation. (English) Zbl 1475.35163 J. Differ. Equations 303, 277-325 (2021). MSC: 35J91 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Guo, Kaili; Feng, Xiaojing Solution to the fractional Schrödinger-Poisson systems with critical term. (Chinese. English summary) Zbl 1488.35559 J. Shandong Univ., Nat. Sci. 56, No. 6, 56-63 (2021). MSC: 35R11 35J05 35J10 35B33 × Cite Format Result Cite Review PDF
Wang, Wenbo; Zhou, Jianwen; Li, Yongkun; Li, Quanqing Existence of positive solutions for fractional Schrödinger-Poisson system with critical or supercritical growth. (Chinese. English summary) Zbl 1488.35038 Acta Math. Sin., Chin. Ser. 64, No. 2, 269-280 (2021). MSC: 35B09 35J10 35J05 35R11 × Cite Format Result Cite Review PDF
Dutko, Tomas; Mercuri, Carlo; Tyler, Teresa Megan Groundstates and infinitely many high energy solutions to a class of nonlinear Schrödinger-Poisson systems. (English) Zbl 1479.35782 Calc. Var. Partial Differ. Equ. 60, No. 5, Paper No. 174, 46 p. (2021). MSC: 35Q55 35J05 35J20 35J60 35B65 35A01 58E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Ding, Hui-Sheng; Li, Benniao; Ye, Jianghua Existence of multi-bump solutions for the Schrödinger-Poisson system. (English) Zbl 1475.35315 J. Math. Anal. Appl. 503, No. 2, Article ID 125340, 25 p. (2021). MSC: 35Q55 35Q60 35J05 35C08 35B09 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Zhipeng; Zhang, Wei; Zhao, Fukun Existence and concentration results for fractional Schrödinger-Poisson system via penalization method. (English) Zbl 1464.35077 Electron. J. Differ. Equ. 2021, Paper No. 14, 31 p. (2021). MSC: 35J10 35J05 35R11 58E05 × Cite Format Result Cite Review PDF Full Text: Link
Lei, Chunyu; Lei, Yutian On the existence of ground states of an equation of Schrödinger-Poisson-Slater type. (English) Zbl 1460.35084 C. R., Math., Acad. Sci. Paris 359, No. 2, 219-227 (2021). MSC: 35J05 35J10 35J47 35A01 35J50 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Tsung-fang Existence and symmetry breaking of ground state solutions for Schrödinger-Poisson systems. (English) Zbl 1460.35088 Calc. Var. Partial Differ. Equ. 60, No. 2, Paper No. 59, 29 p. (2021). MSC: 35J05 35J10 35J47 35A01 35J50 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Liejun Ground state solutions for planar Schrödinger-Poisson system involving subcritical and critical exponential growth with convolution nonlinearity. (English) Zbl 1459.35135 J. Math. Anal. Appl. 495, No. 1, Article ID 124662, 20 p. (2021). MSC: 35J47 35J05 35J10 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Albuquerque, F. S.; Carvalho, J. L.; Figueiredo, G. M.; Medeiros, E. On a planar non-autonomous Schrödinger-Poisson system involving exponential critical growth. (English) Zbl 1459.35146 Calc. Var. Partial Differ. Equ. 60, No. 1, Paper No. 40, 30 p. (2021). MSC: 35J60 35J05 35J10 35J47 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Lan-Xin; Wu, Xing-Ping; Tang, Chun-Lei Multiple positive solutions for nonhomogeneous Schrödinger-Poisson systems with Berestycki-Lions type conditions. (English) Zbl 1458.35143 Electron. J. Differ. Equ. 2021, Paper No. 01, 14 p. (2021). MSC: 35J05 35J10 35J50 35A01 35B09 × Cite Format Result Cite Review PDF Full Text: Link
Feng, Xiaojing Nontrivial solution for Schrödinger-Poisson equations involving the fractional Laplacian with critical exponent. (English) Zbl 1454.35137 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 1, Paper No. 10, 18 p. (2021). MSC: 35J60 35R11 35B33 35A15 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Yueli; Li, Xu; Ji, Chao Multiplicity of concentrating solutions for a class of magnetic Schrödinger-Poisson type equation. (English) Zbl 1440.35138 Adv. Nonlinear Anal. 10, 131-151 (2021). MSC: 35J61 35J25 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Faou, Erwan Resonances and genericity in Birkhoff normal forms. (English) Zbl 1490.35413 Sémin. Laurent Schwartz, EDP Appl. 2019-2020, Exp. No. 5, 10 p. (2020). MSC: 35Q55 37K55 × Cite Format Result Cite Review PDF Full Text: DOI
Peng, Linyan; Suo, Hongmin Multiple positive solutions for a Schrödinger-Poisson system with singularity. (Chinese. English summary) Zbl 1488.35036 Acta Anal. Funct. Appl. 22, No. 4, 288-295 (2020). MSC: 35B09 35J05 35J10 35R10 × Cite Format Result Cite Review PDF Full Text: DOI
Mo, Shuai; Zhao, Yueyun; Zhang, Haiyan; Mao, Anmin Axially symmetric solutions of the Schrödinger-Poisson system in \({\mathbb{R}^2}\). (Chinese. English summary) Zbl 1488.35023 Acta Anal. Funct. Appl. 22, No. 4, 281-287 (2020). MSC: 35B07 35J05 35J10 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Sitong; Tang, Xianhua On the planar Schrödinger-Poisson system with zero mass and critical exponential growth. (English) Zbl 1466.35129 Adv. Differ. Equ. 25, No. 11-12, 687-708 (2020). MSC: 35J47 35J05 35J10 35A01 × Cite Format Result Cite Review PDF Full Text: Euclid
Long, Wei; Yang, Jianfu; Yu, Weilin Nodal solutions for fractional Schrödinger-Poisson problems. (English) Zbl 1465.35180 Sci. China, Math. 63, No. 11, 2267-2286 (2020). MSC: 35J47 35J05 35J10 35R11 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Mercuri, Carlo; Tyler, Teresa Megan On a class of nonlinear Schrödinger-Poisson systems involving a nonradial charge density. (English) Zbl 1460.35124 Rev. Mat. Iberoam. 36, No. 4, 1021-1070 (2020). MSC: 35J47 35J10 35J05 35Q55 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Xiao, Lu; Wang, Jun Existence of positive solutions for a Schrödinger-Poisson system with critical growth. (English) Zbl 1459.35105 Appl. Anal. 99, No. 11, 1827-1864 (2020). MSC: 35J05 35J10 35J47 35A01 35J50 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Senli; Chen, Haibo; Feng, Zhaosheng Schrödinger-Poisson systems with singular potential and critical exponent. (English) Zbl 1458.35145 Electron. J. Differ. Equ. 2020, Paper No. 130, 17 p. (2020). MSC: 35J05 35J10 35J57 35B33 35A01 35J50 × Cite Format Result Cite Review PDF Full Text: Link
López, José Luis Well-posedness of a Schrödinger-Poisson model describing nonlinear chiral effects. (English) Zbl 1450.35227 Nonlinearity 33, No. 9, 4837-4856 (2020). MSC: 35Q40 35Q41 35Q60 35A01 35A02 35J05 78A30 × Cite Format Result Cite Review PDF Full Text: DOI
Wunderlich, Jonathan; Plum, Michael Computer-assisted existence proofs for one-dimensional Schrödinger-Poisson systems. (English) Zbl 1463.35209 Acta Cybern. 24, No. 3, 373-391 (2020). MSC: 35J10 68T05 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Wenbo; Li, Quanqing Existence and concentration of positive ground states for Schrödinger-Poisson equations with competing potential functions. (English) Zbl 1448.35174 Electron. J. Differ. Equ. 2020, Paper No. 78, 19 p. (2020). MSC: 35J47 35J05 35A01 35J20 × Cite Format Result Cite Review PDF Full Text: Link
Yu, Mingzhu; Chen, Haibo Multibump solutions for nonlinear Schrödinger-Poisson systems. (English) Zbl 1448.35120 Math. Methods Appl. Sci. 43, No. 7, 4518-4529 (2020). MSC: 35J05 35J10 35J47 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Figueiredo, Giovany M.; Siciliano, Gaetano Existence and asymptotic behaviour of solutions for a quasi-linear Schrödinger-Poisson system with a critical nonlinearity. (English) Zbl 1446.35193 Z. Angew. Math. Phys. 71, No. 4, Paper No. 130, 21 p. (2020). MSC: 35Q60 35Q55 35B40 35J10 35J50 35J92 35J60 35J61 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Feng, Binhua; Chen, Ruipeng; Wang, Qingxuan Instability of standing waves for the nonlinear Schrödinger-Poisson equation in the \(L^2\)-critical case. (English) Zbl 1445.35133 J. Dyn. Differ. Equations 32, No. 3, 1357-1370 (2020). MSC: 35J10 35J05 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Hui; Wu, Dan Nodal solutions for the Schrödinger-Poisson equations with convolution terms. (English) Zbl 1436.35139 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 196, Article ID 111781, 19 p. (2020). MSC: 35J47 35J20 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Na; He, Xiaoming Existence and multiplicity results for some Schrödinger-Poisson system with critical growth. (English) Zbl 1436.35141 J. Math. Anal. Appl. 488, No. 2, Article ID 124071, 35 p. (2020). MSC: 35J47 35J05 35J10 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Sitong; Peng, Jiawu; Tang, Xianhua Radial ground state sign-changing solutions for asymptotically cubic or super-cubic fractional Schrödinger-Poisson systems. (English) Zbl 1436.35154 Complex Var. Elliptic Equ. 65, No. 4, 672-694 (2020). MSC: 35J60 35R11 35J10 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Shibo; Mosconi, Sunra On the Schrödinger-Poisson system with indefinite potential and 3-sublinear nonlinearity. (English) Zbl 1436.35082 J. Differ. Equations 269, No. 1, 689-712 (2020). MSC: 35J05 35J10 35J47 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Juntao; Wu, Tsung-fang Bound state nodal solutions for the non-autonomous Schrödinger-Poisson system in \(\mathbb{R}^3\). (English) Zbl 1437.35261 J. Differ. Equations 268, No. 11, 7121-7163 (2020). MSC: 35J47 35J05 35J10 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yin, Li-Feng; Wu, Xing-Ping; Tang, Chun-Lei Existence and concentration of ground state solutions for critical Schrödinger-Poisson system with steep potential well. (English) Zbl 1433.35064 Appl. Math. Comput. 374, Article ID 125035, 12 p. (2020). MSC: 35J47 35B33 35J50 35J91 35Q55 35J20 35J10 × Cite Format Result Cite Review PDF Full Text: DOI
Su, Yu; Chen, Haibo; Liu, Senli; Fang, Xianwen Fractional Schrödinger-Poisson systems with weighted Hardy potential and critical exponent. (English) Zbl 1429.35204 Electron. J. Differ. Equ. 2020, Paper No. 01, 17 p. (2020). MSC: 35R11 35J10 35B40 35J60 × Cite Format Result Cite Review PDF Full Text: Link
Lei, Chun-Yu; Liu, Gao-Sheng; Suo, Hong-Min Positive solutions for a Schrödinger-Poisson system with singularity and critical exponent. (English) Zbl 1433.35073 J. Math. Anal. Appl. 483, No. 2, Article ID 123647, 21 p. (2020). MSC: 35J57 35J05 35J10 35B09 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Sitong; Fiscella, Alessio; Pucci, Patrizia; Tang, Xianhua Semiclassical ground state solutions for critical Schrödinger-Poisson systems with lower perturbations. (English) Zbl 1436.35078 J. Differ. Equations 268, No. 6, 2672-2716 (2020). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35J05 35J10 35J47 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Hui; Xu, Junxiang; Zhang, Fubao Multiplicity of semiclassical states for Schrödinger-Poisson systems with critical frequency. (English) Zbl 1433.35065 Z. Angew. Math. Phys. 71, No. 1, Paper No. 5, 15 p. (2020). MSC: 35J47 35J91 35J05 35J10 35J50 × Cite Format Result Cite Review PDF Full Text: DOI
Bernini, Federico; Mugnai, Dimitri On a logarithmic Hartree equation. (English) Zbl 1435.35132 Adv. Nonlinear Anal. 9, 850-865 (2020). Reviewer: Giovanni Anello (Messina) MSC: 35J05 35J10 35J47 35J50 35Q40 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Sitong; Tang, Xianhua; Yuan, Shuai Normalized solutions for Schrödinger-Poisson equations with general nonlinearities. (English) Zbl 1431.35021 J. Math. Anal. Appl. 481, No. 1, Article ID 123447, 24 p. (2020). MSC: 35J05 35J10 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Jing Positive bound state solutions for the nonlinear Schrödinger-Poisson systems with potentials. (English) Zbl 1513.35149 Bound. Value Probl. 2019, Paper No. 193, 19 p. (2019). MSC: 35J10 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
Yuan, Shuai; Liao, Fangfang Ground state solutions of Nehari-Pohožaev type for a kind of nonlinear problem with general nonlinearity and nonlocal convolution term. (English) Zbl 1524.35267 Bound. Value Probl. 2019, Paper No. 150, 19 p. (2019). MSC: 35J91 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Jing; Zhang, Ning Infinitely many geometrically distinct solutions for periodic Schrödinger-Poisson systems. (English) Zbl 1513.35146 Bound. Value Probl. 2019, Paper No. 64, 16 p. (2019). MSC: 35J10 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yong-Yong; Xue, Yan-Fang; Tang, Chun-Lei Ground state solutions for asymptotically periodic modified Schrödinger-Poisson system involving critical exponent. (English) Zbl 1486.49006 Commun. Pure Appl. Anal. 18, No. 5, 2299-2324 (2019). Reviewer: Antonio André Novotny (Petrópolis) MSC: 49J20 35J10 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Lixia; Ma, Shiwang Multiple solutions for a nonhomogeneous Schrödinger-Poisson system with concave and convex nonlinearities. (English) Zbl 1465.35183 J. Appl. Anal. Comput. 9, No. 2, 628-637 (2019). MSC: 35J47 35J05 35J10 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Xiaomin; Wang, Shuli; Guo, Zuji The constrained minimizers of Schrödinger-Poisson equations. (Chinese. English summary) Zbl 1449.35193 Math. Pract. Theory 49, No. 21, 243-250 (2019). MSC: 35J05 35J35 × Cite Format Result Cite Review PDF
Lei, Yan; Guo, Zuji; Wang, Shuli A class of constrained minimal elements for Schrödinger-Poisson equations. (Chinese. English summary) Zbl 1449.35190 J. Northwest Norm. Univ., Nat. Sci. 55, No. 4, 14-20 (2019). MSC: 35J05 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Sitong; Tang, Xianhua; Zhang, Ning Semiclassical states for singularly perturbed Schrödinger-Poisson systems with a general Berestycki-Lions or critical nonlinearity. (English) Zbl 1437.35255 Topol. Methods Nonlinear Anal. 54, No. 2A, 665-683 (2019). MSC: 35J47 35J05 35J10 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI Euclid