Shuai, Wei; Ye, Jianghua Limiting profile of solutions for Schrödinger-Poisson system with shrinking self-focusing core. (English) Zbl 07981506 J. Geom. Anal. 35, No. 2, Paper No. 67, 41 p. (2025). MSC: 35J47 35J61 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Wenting; Huang, Xianjiu; Chen, Jianhua; Cheng, Bitao Ground states for planar generalized quasilinear Schrödinger equation with Choquard nonlinearity. (English) Zbl 07976547 Qual. Theory Dyn. Syst. 24, No. 1, Paper No. 42, 49 p. (2025). MSC: 35J62 35A01 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Clapp, Mónica; Saldaña, Alberto; Szulkin, Andrzej On a Schrödinger system with shrinking regions of attraction. (English) Zbl 07975309 Z. Angew. Math. Phys. 76, No. 1, Paper No. 37, 23 p. (2025). MSC: 35J50 35B08 35B20 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Furtado, Marcelo F.; da Silva, Edcarlos D.; Severo, Uberlandio Choquard type equations with asymptotically linear nonlinearities. (English) Zbl 07975301 Z. Angew. Math. Phys. 76, No. 1, Paper No. 20, 17 p. (2025). MSC: 35J20 35J60 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
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: 35Jxx × Cite Format Result Cite Review PDF Full Text: DOI
Clapp, Mónica; Hernández-Santamaría, Víctor; Saldaña, Alberto Positive and nodal limiting profiles for a semilinear elliptic equation with a shrinking region of attraction. (English) Zbl 07955742 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 251, Article ID 113680, 15 p. (2025). MSC: 35J61 35J10 35Q55 35A01 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yu, Yuanyang The concentration of multiplicity solutions for a class Hamiltonian elliptic systems. (English) Zbl 07950014 Qual. Theory Dyn. Syst. 24, No. 1, Paper No. 8, 38 p. (2025). MSC: 35J47 35A01 35A15 × 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
Guo, Qing; Peng, Shuangjie Pure Neumann problem for slightly supercritical Lane-Emden system. (English) Zbl 07947608 Calc. Var. Partial Differ. Equ. 64, No. 1, Paper No. 6, 50 p. (2025). MSC: 35J57 35J61 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Ruowei The existence of positive ground state solutions for the Choquard type equation on groups of polynomial growth. (English) Zbl 07946846 Discrete Contin. Dyn. Syst. 45, No. 2, 665-685 (2025). MSC: 35J61 35R02 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ni, Yangyu; Sun, Jijiang Concentration of normalized solutions for mass supercritical Kirchhoff type equations. (English) Zbl 07941535 J. Geom. Anal. 35, No. 1, Paper No. 3, 37 p. (2025). MSC: 35J62 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Cong; Wang, Jun Normalized cylindrical solutions for the singular equation with combined nonlinearities and the related curl-curl equation. (English) Zbl 07922169 J. Math. Anal. Appl. 541, No. 1, Article ID 128679, 39 p. (2025). MSC: 35J91 35J05 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Xiao-Ping; Tang, Chun-Lei A logarithmic Choquard equation with critical exponential growth in \(\mathbb{R}^2\). (English) Zbl 07976474 Appl. Anal. 103, No. 17, 3087-3115 (2024). MSC: 35J61 35J15 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Ding, Hui-Sheng; Liu, Quan; Long, Wei; Zhong, Lan Choquard equations with recurrent potentials. (English) Zbl 07960700 Adv. Nonlinear Anal. 13, Article ID 20240057, 23 p. (2024). MSC: 35J20 35J60 47G20 × Cite Format Result Cite Review PDF Full Text: DOI
Guan, Minlan; Lai, Lizhen; Liu, Boxue; Qin, Dongdong Ground state solutions for the Hamilton-Choquard elliptic system with critical exponential growth. (English) Zbl 07960105 Asymptotic Anal. 140, No. 3-4, 159-189 (2024). MSC: 35Q55 35Q40 35B33 35J20 35A23 26D10 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Alves, Claudianor Oliveira; Shen, Liejun On a class of strongly indefinite Schrödinger equations with Stein-Weiss convolution parts and supercritical exponential growth in \(\mathbb{R}^2\). (English) Zbl 07949507 J. Fixed Point Theory Appl. 26, No. 4, Paper No. 52, 43 p. (2024). MSC: 35J10 35J61 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Liejun; Rădulescu, Vicenţiu D. Concentration of ground state solutions for supercritical zero-mass \((N, q)\)-equations of Choquard reaction. (English) Zbl 07941232 Math. Z. 308, No. 4, Paper No. 66, 46 p. (2024). Reviewer: Calogero Vetro (Palermo) MSC: 35J92 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xueqing; Ren, Bo Nonlinear waves and transitions mechanisms for \((2+1)\)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani equation. (English) Zbl 07938821 Wave Motion 130, Article ID 103383, 14 p. (2024). MSC: 35-XX 37-XX × Cite Format Result Cite Review PDF Full Text: DOI
Bailleul, Ismael; Eulry, Hugo; Robert, Tristan Variational methods for some singular stochastic elliptic PDEs. (English. French summary) Zbl 07938074 Ann. Fac. Sci. Toulouse, Math. (6) 33, No. 2, 469-491 (2024). MSC: 49K20 35J35 35J75 60H40 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Dong, Xiaojing; Guo, Qi Nonlinear Schrödinger equations with concave-convex nonlinearities. (English) Zbl 07923718 J. Differ. Equations 410, 716-736 (2024). MSC: 35Q55 35Q41 35Q40 49J35 81Q10 35A01 35B20 35C08 35A15 35P15 35J61 × Cite Format Result Cite Review PDF Full Text: DOI
Tang, Houzhi Multiplicity and concentration behavior of solutions for magnetic Choquard equation with critical growth. (English) Zbl 07920878 Z. Angew. Math. Phys. 75, No. 5, Paper No. 183, 32 p. (2024). MSC: 35J61 35J15 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Ni, Yangyu; Sun, Jijiang; Chen, Jianhua Multiplicity and concentration of normalized solutions for a Kirchhoff type problem with \(L^2\)-subcritical nonlinearities. (English) Zbl 07920451 Commun. Anal. Mech. 16, No. 3, 633-654 (2024). MSC: 35J62 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Ting; Tang, Xianhua; Gui, Shuting Ground state solutions of Nehari-Pankov type for a indefinite Choquard equation with the Hardy potential and critical nonlinearity. (English) Zbl 07920130 J. Math. Anal. Appl. 540, No. 2, Article ID 128639, 27 p. (2024). MSC: 35J61 35J15 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Alves, Claudianor Oliveira; Shen, Liejun Soliton solutions for a class of critical Schrödinger equations with Stein-Weiss convolution parts in \(\mathbb{R}^2\). (English) Zbl 1546.35085 Monatsh. Math. 205, No. 1, 1-54 (2024). MSC: 35J62 35A01 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Ambrosio, Vincenzo Concentration phenomena for the fractional relativistic Schrödinger-Choquard equation. (English) Zbl 1547.35719 Commun. Contemp. Math. 26, No. 9, Article ID 2350061, 40 p. (2024). MSC: 35R11 35B09 35J10 35J20 35J61 × Cite Format Result Cite Review PDF Full Text: DOI
Kang, Jin-Cai; Tang, Chun-Lei Normalized solutions for the nonlinear Schrödinger equation with potential and combined nonlinearities. (English) Zbl 1545.35180 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 246, Article ID 113581, 29 p. (2024). MSC: 35Q55 35Q41 35J20 35B38 35B35 35B44 35B09 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Bao, Meiqi; Guo, Hui; Wang, Tao Multi-bumps solutions for the nonlinear Schrödinger equation under a slowing decaying potential. (English) Zbl 1547.35618 Math. Methods Appl. Sci. 47, No. 6, 4430-4448 (2024). MSC: 35Q55 35J61 35J10 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Jin, Peng; Shu, Muhua; Wen, Lixi Groundstates for planar Schrödinger-Poisson system involving convolution nonlinearity and critical exponential growth. (English) Zbl 1540.35375 J. Geom. Anal. 34, No. 8, Paper No. 230, 51 p. (2024). MSC: 35Q55 35Q40 35Q60 35J20 35A15 35A23 35B33 35R09 × Cite Format Result Cite Review PDF Full Text: DOI
Borthwick, Jack; Chang, Xiaojun; Jeanjean, Louis; Soave, Nicola Bounded Palais-Smale sequences with Morse type information for some constrained functionals. (English) Zbl 1541.35152 Trans. Am. Math. Soc. 377, No. 6, 4481-4517 (2024). Reviewer: Rodica Luca (Iaşi) MSC: 35J10 35J61 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
He, Pengfei; Suo, Hongmin Radial symmetric normalized solutions for a singular elliptic equation. (English) Zbl 1539.35045 Appl. Math. Lett. 152, Article ID 109024, 5 p. (2024). MSC: 35J15 35J75 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Ding, Yanheng; Wang, Hua-Yang Normalized solutions to Schrödinger equations with critical exponent and mixed nonlocal nonlinearities. (English) Zbl 1541.35155 J. Geom. Anal. 34, No. 7, Paper No. 215, 57 p. (2024). MSC: 35J10 35J61 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yuan, Shuai; Rădulescu, Vicenţiu D.; Tang, Xianhua; Zhang, Limin Concentrating solutions for singularly perturbed fractional \((N/s)\)-Laplacian equations with nonlocal reaction. (English) Zbl 1539.35008 Forum Math. 36, No. 3, 783-810 (2024). MSC: 35B25 35A15 35B38 35J61 35R11 × 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
Ambrosio, Vincenzo Multiple concentrating solutions for a fractional \((p, q)\)-Choquard equation. (English) Zbl 1537.35359 Adv. Nonlinear Stud. 24, No. 2, 510-541 (2024). MSC: 35R11 35A15 35B38 35J60 45K05 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Clapp, Mónica; Maia, Liliane; Pellacci, Benedetta An upper bound for the least energy of a sign-changing solution to a zero mass problem. (English) Zbl 1540.35195 Adv. Nonlinear Stud. 24, No. 2, 463-476 (2024). Reviewer: Marius Ghergu (Dublin) MSC: 35J61 35B08 35B06 35B45 35J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cingolani, Silvia; Gallo, Marco; Tanaka, Kazunaga Infinitely many free or prescribed mass solutions for fractional Hartree equations and Pohozaev identities. (English) Zbl 1537.35372 Adv. Nonlinear Stud. 24, No. 2, 303-334 (2024). MSC: 35R11 35A15 35D30 35J61 35R09 45K05 47G10 47J30 49J35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Yanyan; Zhao, Leiga Normalized solutions for Schrödinger equations with potentials and general nonlinearities. (English) Zbl 1541.35160 Calc. Var. Partial Differ. Equ. 63, No. 4, Paper No. 99, 37 p. (2024). MSC: 35J10 35J61 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Huxiao; Ruf, Bernhard; Tarsi, Cristina Bifurcation into spectral gaps for strongly indefinite Choquard equations. (English) Zbl 1542.35358 Commun. Contemp. Math. 26, No. 3, Article ID 2350001, 35 p. (2024). Reviewer: Long Meng (Paris) MSC: 35Q55 35J61 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jin, Ke; Shi, Ying; Xie, Huafei The limiting profile of solutions for semilinear elliptic systems with a shrinking self-focusing core. (English) Zbl 1549.35219 Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 2, 583-608 (2024). MSC: 35J50 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Wulong; Dai, Guowei; Winkert, Patrick Multiple sign-changing solutions for superlinear \((p,q)\)-equations in symmetrical expanding domains. (English) Zbl 1545.35060 Bull. Sci. Math. 191, Article ID 103393, 21 p. (2024). Reviewer: Leszek Gasiński (Kraków) MSC: 35J92 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Shan, Yuan Relative Morse index and multiple solutions for a non-periodic Dirac equation with external fields. (English) Zbl 1533.35292 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 241, Article ID 113469, 16 p. (2024). MSC: 35Q41 37B30 35C08 35B40 49J35 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Sakuma, Masaki Infinitely many solutions for \(p\)-fractional Choquard type equations involving general nonlocal nonlinearities with critical growth via the concentration compactness method. (English) Zbl 1535.35087 J. Differ. Equations 383, 163-189 (2024). MSC: 35J62 35R11 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bai, Shujie; Repovš, Dušan D.; Song, Yueqiang High and low perturbations of the critical Choquard equation on the Heisenberg group. (English) Zbl 1532.35192 Adv. Differ. Equ. 29, No. 3-4, 153-178 (2024). MSC: 35J61 35J25 35R03 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Zhou, Fan; Shen, Zifei; Yang, Minbo Existence and asymptotic behaviour of the least energy solutions for a quasilinear Dirac-Poisson system. (English) Zbl 1529.35423 Discrete Contin. Dyn. Syst., Ser. S 16, No. 11, 3427-3458 (2023). MSC: 35Q40 35J92 49J35 × Cite Format Result Cite Review PDF Full Text: DOI
Missaoui, Hlel Existence of solutions for nonlinear Dirac equations in the Bopp-Podolsky electrodynamics. (English) Zbl 1533.35116 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 236, Article ID 113355, 18 p. (2023). MSC: 35J48 35J61 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Yang, Lu; Liu, Xiangqing; Zhou, Jianwen Concentration of nodal solutions for semiclassical quadratic Choquard equations. (English) Zbl 1529.35019 Electron. J. Differ. Equ. 2023, Paper No. 75, 20 p. (2023). MSC: 35B25 35B05 35B45 35J61 × Cite Format Result Cite Review PDF Full Text: Link
Lü, Dengfeng; Dai, Shu-Wei Existence and asymptotic behavior of solutions for Kirchhoff equations with general Choquard-type nonlinearities. (English) Zbl 1529.35238 Z. Angew. Math. Phys. 74, No. 6, Paper No. 232, 15 p. (2023). MSC: 35J62 35A01 35A15 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Ding, Yanheng; Guo, Qi; Yu, Yuanyang Semiclassical states of a type of Dirac-Klein-Gordon equations with nonlinear interacting terms. (English) Zbl 1527.35010 SN Partial Differ. Equ. Appl. 4, No. 5, Paper No. 42, 26 p. (2023). MSC: 35A15 35C08 35G55 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI
Aghajani, Asadollah; Kinnunen, Juha Supersolutions to nonautonomous Choquard equations in general domains. (English) Zbl 1526.35189 Adv. Nonlinear Anal. 12, Article ID 20230107, 21 p. (2023). MSC: 35J92 35P30 35B53 × Cite Format Result Cite Review PDF Full Text: DOI
Bai, Shujie; Song, Yueqiang Some existence results for critical nonlocal Choquard equation on the Heisenberg group. (English) Zbl 1526.35165 Commun. Nonlinear Sci. Numer. Simul. 127, Article ID 107522, 18 p. (2023). MSC: 35J61 35R03 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Gou, Haide Existence of positive radial solutions for nonlinear elliptic equations with gradient terms in an annulus. (English) Zbl 1526.35185 J. Elliptic Parabol. Equ. 9, No. 2, 807-829 (2023). MSC: 35J91 35J25 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Jianqing; Zhang, Qian Existence of positive ground state solutions for the coupled Choquard system with potential. (English) Zbl 1525.35104 Math. Nachr. 296, No. 9, 4043-4059 (2023). MSC: 35J47 35J61 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Wei Limiting profile of solutions for sublinear elliptic equations with shrinking self-focusing core. (English) Zbl 1522.35240 Appl. Anal. 102, No. 12, 3340-3347 (2023). MSC: 35J61 35A01 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
de Lima, Romildo N.; Souto, Marco A. S. Choquard equations with mixed potential. (English) Zbl 1520.35064 SN Partial Differ. Equ. Appl. 4, No. 4, Paper No. 33, 18 p. (2023). MSC: 35J61 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yao, Shuai; Chen, Haibo New multiplicity results for a class of nonlocal equation with steep potential well. (English) Zbl 1522.35263 Complex Var. Elliptic Equ. 68, No. 8, 1286-1312 (2023). MSC: 35J62 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Xie, Yi; Lei, Peidong; Yin, Jingxue Boundedness and stability of global solutions for some superlinear and nonautonomous heat equations. (English) Zbl 1518.35124 J. Differ. Equations 370, 167-201 (2023). MSC: 35B40 35K20 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Manna, Bhakti Bhusan; Sahoo, Alok Kumar Concentration results for a singularly perturbed elliptic system with variable coefficients. (English) Zbl 1519.35126 Discrete Contin. Dyn. Syst. 43, No. 8, 2889-2922 (2023). MSC: 35J57 35J91 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Shengbing; Yu, Junwei Normalized solutions for a Choquard equation with exponential growth in \(\mathbb{R}^2\). (English) Zbl 1518.35334 Z. Angew. Math. Phys. 74, No. 3, Paper No. 103, 18 p. (2023). MSC: 35J61 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Angeles, Felipe; Clapp, Mónica; Saldaña, Alberto Exponential decay of the solutions to nonlinear Schrödinger systems. (English) Zbl 1522.35060 Calc. Var. Partial Differ. Equ. 62, No. 5, Paper No. 160, 16 p. (2023). Reviewer: Antonio Vitolo (Fisciano) MSC: 35B40 35B06 35B45 35J47 35J61 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
He, Xiaoming; Zhao, Xin; Zou, Wenming The Benci-Cerami problem for the fractional Choquard equation with critical exponent. (English) Zbl 1512.35272 Manuscr. Math. 170, No. 1-2, 193-242 (2023). MSC: 35J61 35R11 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Ding, Yanheng; Yu, Yuanyang; Zhao, Fukun \(L^2\)-normalized solitary wave solutions of a nonlinear Dirac equation. (English) Zbl 1504.35418 J. Geom. Anal. 33, No. 2, Paper No. 69, 25 p. (2023). MSC: 35Q40 35Q41 49J35 35C08 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Clapp, Mónica; Soares, Mayra Energy estimates for seminodal solutions to an elliptic system with mixed couplings. (English) Zbl 1511.35144 NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 1, Paper No. 11, 33 p. (2023). Reviewer: Jesús Hernández (Madrid) MSC: 35J47 35J61 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alves, Claudianor Oliveira; Shen, Liejun Critical Schrödinger equations with Stein-Weiss convolution parts in \(\mathbb{R}^2\). (English) Zbl 1511.35107 J. Differ. Equations 344, 352-404 (2023). Reviewer: Florin Catrina (New York) MSC: 35J10 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Yuanyuan; Gao, Dongmei; Wang, Jun Existence of a ground state solution for the Choquard equation with nonperiodic potentials. (English) Zbl 1513.35242 Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 1, 303-323 (2023). MSC: 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Huiling; Xu, Haiping On a class of Choquard-type equation with upper critical exponent and indefinite linear part. (English) Zbl 07885955 J. Appl. Anal. Comput. 12, No. 2, 464-478 (2022). MSC: 35J20 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Alves, Claudianor O.; Patricio, Geovany F. Existence of solution for a class of indefinite variational problems with discontinuous nonlinearity. (English) Zbl 1535.35049 J. Math. Sci., New York 266, No. 4, Series A, 635-663 (2022). MSC: 35J15 35J61 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gao, Quan; Chen, Weiya; Qin, Dongdong; Wu, Qingfang Strongly indefinite Choquard equation in \(\mathbb{R}^2\) with critical exponential growth. (English) Zbl 1529.35153 Math. Methods Appl. Sci. 45, No. 12, 7744-7759 (2022). MSC: 35J05 35J91 35B33 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Shengbing; Yu, Junwei On a class of singular Hamiltonian Choquard-type elliptic systems with critical exponential growth. (English) Zbl 1509.35126 J. Math. Phys. 63, No. 12, Article ID 121501, 22 p. (2022). MSC: 35J60 35J50 35J20 35A01 35B33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhong, Tao; Huang, Xianjiu; Chen, Jianhua A class of Kirchhoff-type problems involving the concave-convex nonlinearities and steep potential Well. (English) Zbl 1501.35213 Bull. Malays. Math. Sci. Soc. (2) 45, No. 6, 3469-3498 (2022). MSC: 35J62 35A01 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Fashun; Moroz, Vitaly; Yang, Minbo; Zhao, Shunneng Construction of infinitely many solutions for a critical Choquard equation via local Pohožaev identities. (English) Zbl 1501.35192 Calc. Var. Partial Differ. Equ. 61, No. 6, Paper No. 222, 47 p. (2022). MSC: 35J61 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Yang, Heng Schrödinger-Poisson system with zero mass and convolution nonlinearity in \(\mathbb{R}^2\). (English) Zbl 1498.35519 Asymptotic Anal. 130, No. 1-2, 1-21 (2022). MSC: 35Q55 35A01 35R09 35D30 35B38 × Cite Format Result Cite Review PDF Full Text: DOI
Yuan, Shuai; Tang, Xianhua; Zhang, Jian; Zhang, Limin Semiclassical states of fractional Choquard equations with exponential critical growth. (English) Zbl 1498.35601 J. Geom. Anal. 32, No. 12, Paper No. 290, 40 p. (2022). MSC: 35R11 35A15 35B38 35J61 × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Yuanyang Bifurcation solutions for a nonlinear Dirac equation. (English) Zbl 1498.35042 Appl. Math. Lett. 134, Article ID 108306, 7 p. (2022). MSC: 35B32 35A15 35F50 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Jin, Zhen-Feng; Sun, Hong-Rui; Zhang, Jianjun Existence of ground state solutions for critical fractional Choquard equations involving periodic magnetic field. (English) Zbl 1496.35430 Adv. Nonlinear Stud. 22, 372-389 (2022). MSC: 35R11 35A15 35J61 35R09 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Yao, Shuai; Sun, Juntao; Wu, Tsung-fang Positive solutions to a class of Choquard type equations with a competing perturbation. (English) Zbl 1497.35261 J. Math. Anal. Appl. 516, No. 1, Article ID 126469, 20 p. (2022). MSC: 35J91 35J05 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
He, Xiaoming; Rădulescu, Vicenţiu D.; Zou, Wenming Normalized ground states for the critical fractional Choquard equation with a local perturbation. (English) Zbl 1495.35191 J. Geom. Anal. 32, No. 10, Paper No. 252, 51 p. (2022). MSC: 35R11 35A15 35B33 35J20 35J61 35Q55 46N50 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Yao, Shuai; Chen, Haibo; Rădulescu, D.; Sun, Juntao Normalized solutions for lower critical Choquard equations with critical Sobolev perturbation. (English) Zbl 1497.35145 SIAM J. Math. Anal. 54, No. 3, 3696-3723 (2022). MSC: 35J20 35J61 35Q40 × 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
Zhang, Guoqing; Li, Yawen Normalized ground state traveling solitary waves for the half-wave equations with combined nonlinearities. (English) Zbl 1492.35323 Z. Angew. Math. Phys. 73, No. 4, Paper No. 142, 27 p. (2022). MSC: 35Q55 35Q41 35C07 35C08 35A01 35B33 49J35 × Cite Format Result Cite Review PDF Full Text: DOI
Wei, Juncheng; Wu, Yuanze Normalized solutions for Schrödinger equations with critical Sobolev exponent and mixed nonlinearities. (English) Zbl 1500.35114 J. Funct. Anal. 283, No. 6, Article ID 109574, 46 p. (2022). Reviewer: Sergey G. Pyatkov (Khanty-Mansiysk) MSC: 35J10 35J61 35A01 35J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Li; Cheng, Kun; Wang, Jixiu The multiplicity and concentration of positive solutions for the Kirchhoff-Choquard equation with magnetic fields. (English) Zbl 1499.35021 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 4, 1453-1484 (2022). MSC: 35A15 35B25 35R11 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Quittner, Pavol Liouville theorem and a priori estimates of radial solutions for a non-cooperative elliptic system. (English) Zbl 1498.35229 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 112971, 11 p. (2022). Reviewer: Florin Catrina (New York) MSC: 35J47 35J61 35B53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Fulai; Liao, Fangfang; Geng, Shifeng Ground state solution for a class of Choquard equation with indefinite periodic potential. (English) Zbl 1491.35236 Appl. Math. Lett. 132, Article ID 108205, 8 p. (2022). MSC: 35J91 35J05 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Wen, Lixi; Rădulescu, Vicenţiu D. Groundstates for magnetic Choquard equations with critical exponential growth. (English) Zbl 1492.35119 Appl. Math. Lett. 132, Article ID 108153, 8 p. (2022). Reviewer: Anouar Bahrouni (Monastir) MSC: 35J61 35B33 35A01 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Zhisu; Lou, Yijun; Zhang, Jianjun A perturbation approach to studying sign-changing solutions of Kirchhoff equations with a general nonlinearity. (English) Zbl 1491.35219 Ann. Mat. Pura Appl. (4) 201, No. 3, 1229-1255 (2022). MSC: 35J62 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shen, Liejun; Rădulescu, Vicenţiu D.; Yang, Minbo Planar Schrödinger-Choquard equations with potentials vanishing at infinity: the critical case. (English) Zbl 1491.35151 J. Differ. Equations 329, 206-254 (2022). MSC: 35J10 35J61 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Lele; Gao, Fashun; Yang, Minbo On elliptic equations with Stein-Weiss type convolution parts. (English) Zbl 1490.35179 Math. Z. 301, No. 2, 2185-2225 (2022). MSC: 35J91 35J05 35B33 35B06 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Maia, Liliane; Pellacci, Benedetta; Schiera, Delia Positive bound states to nonlinear Choquard equations in the presence of nonsymmetric potentials. (English) Zbl 1490.35432 Minimax Theory Appl. 7, No. 2, 321-338 (2022). MSC: 35Q55 35R09 35J91 35J20 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Jin, Sangdon Multi-bump solutions for nonlinear elliptic equations involving critical Sobolev exponents. (English) Zbl 1490.35182 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 220, Article ID 112829, 26 p. (2022). MSC: 35J91 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Genghong; Yu, Jianshe Homoclinic solutions of periodic discrete Schrödinger equations with local superquadratic conditions. (English) Zbl 1491.35405 SIAM J. Math. Anal. 54, No. 2, 1966-2005 (2022). MSC: 35Q55 39A12 39A70 35A01 35B38 35A15 37C29 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Quanqing; Zhang, Jian; Wang, Wenbo; Teng, Kaimin Existence of nontrivial solutions for fractional Choquard equations with critical or supercritical growth. (English) Zbl 1486.35195 Appl. Anal. 101, No. 3, 849-857 (2022). MSC: 35J61 35R11 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Haoyu The borderline case of Bahri-Lions result and related problems. (English) Zbl 1486.35151 J. Math. Anal. Appl. 512, No. 1, Article ID 126073, 17 p. (2022). MSC: 35J05 35J91 × Cite Format Result Cite Review PDF Full Text: DOI
Qin, Dongdong; Lai, Lizhen; Tang, Xianhua; Wu, Qingfang Existence and asymptotic behavior of ground states for Choquard-Pekar equations with Hardy potential and critical reaction. (English) Zbl 1485.35345 J. Geom. Anal. 32, No. 5, Paper No. 158, 44 p. (2022). Reviewer: Marius Ghergu (Dublin) MSC: 35Q55 35Q40 35J20 35J60 46N50 × Cite Format Result Cite Review PDF Full Text: DOI
Maia, Liliane; Pellacci, Benedetta; Schiera, Delia Symmetric positive solutions to nonlinear Choquard equations with potentials. (English) Zbl 1485.35238 Calc. Var. Partial Differ. Equ. 61, No. 2, Paper No. 61, 34 p. (2022). MSC: 35J91 35J15 35A01 × 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
Zhang, Jian; Zhang, Wen Semiclassical states for coupled nonlinear Schrödinger system with competing potentials. (English) Zbl 1484.35189 J. Geom. Anal. 32, No. 4, Paper No. 114, 36 p. (2022). MSC: 35J47 35J61 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Youpei; Tang, Xianhua Large perturbations of a magnetic system with Stein-Weiss convolution nonlinearity. (English) Zbl 1484.35210 J. Geom. Anal. 32, No. 3, Paper No. 102, 27 p. (2022). MSC: 35J60 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI