Ichimiya, Mikio; Nakamura, Makoto On the Cauchy problem for the Hartree type semilinear Schrödinger equation in the de Sitter spacetime. (English) Zbl 1520.35143 Evol. Equ. Control Theory 12, No. 6, 1602-1628 (2023). MSC: 35Q55 35L71 35Q75 PDFBibTeX XMLCite \textit{M. Ichimiya} and \textit{M. Nakamura}, Evol. Equ. Control Theory 12, No. 6, 1602--1628 (2023; Zbl 1520.35143) Full Text: DOI
Tang, Na; Zhang, Jian Energy criteria of global existence for a class of Hartree equations with Coulomb potential. (English) Zbl 1522.35476 Math. Appl. Sci. Eng. 4, No. 1, 61-78 (2023). MSC: 35Q55 35B44 35A01 35A02 78A60 PDFBibTeX XMLCite \textit{N. Tang} and \textit{J. Zhang}, Math. Appl. Sci. Eng. 4, No. 1, 61--78 (2023; Zbl 1522.35476) Full Text: DOI
Chergui, L. Well-posedness and blow-up of Virial type for some fractional inhomogeneous Choquard equations. (English) Zbl 1492.35302 Appl. Anal. 101, No. 8, 2966-2995 (2022). MSC: 35Q55 35B44 35A01 35A02 35A23 26A33 35R11 PDFBibTeX XMLCite \textit{L. Chergui}, Appl. Anal. 101, No. 8, 2966--2995 (2022; Zbl 1492.35302) Full Text: DOI
Lei, Chun-Yu; Zhang, Binlin Ground state solutions for nonlinear Choquard equations with doubly critical exponents. (English) Zbl 1480.35218 Appl. Math. Lett. 125, Article ID 107715, 7 p. (2022). MSC: 35J62 35B33 35A01 35J20 PDFBibTeX XMLCite \textit{C.-Y. Lei} and \textit{B. Zhang}, Appl. Math. Lett. 125, Article ID 107715, 7 p. (2022; Zbl 1480.35218) Full Text: DOI
Chergui, Lassaad A note on a damped focusing inhomogeneous Choquard equation. (English) Zbl 1490.35402 J. Math. Phys. Anal. Geom. 17, No. 3, 295-325 (2021). MSC: 35Q55 PDFBibTeX XMLCite \textit{L. Chergui}, J. Math. Phys. Anal. Geom. 17, No. 3, 295--325 (2021; Zbl 1490.35402) Full Text: DOI
Chergui, Lassaad Remarks on damped Schrödinger equation of Choquard type. (English) Zbl 1478.35189 Opusc. Math. 41, No. 4, 465-488 (2021). MSC: 35Q55 35A01 35A02 PDFBibTeX XMLCite \textit{L. Chergui}, Opusc. Math. 41, No. 4, 465--488 (2021; Zbl 1478.35189) Full Text: DOI
Tarulli, M.; Venkov, G. Decay and scattering in energy space for the solution of weakly coupled Schrödinger-Choquard and Hartree-Fock equations. (English) Zbl 1472.35116 J. Evol. Equ. 21, No. 2, 1149-1178 (2021). MSC: 35J10 35Q55 35P25 PDFBibTeX XMLCite \textit{M. Tarulli} and \textit{G. Venkov}, J. Evol. Equ. 21, No. 2, 1149--1178 (2021; Zbl 1472.35116) Full Text: DOI arXiv
Saanouni, Tarek A note on Choquard equations in two space dimensions. (English) Zbl 1464.35330 Bol. Soc. Mat. Mex., III. Ser. 27, No. 1, Paper No. 16, 29 p. (2021). MSC: 35Q55 35B44 35P25 35A01 35A02 PDFBibTeX XMLCite \textit{T. Saanouni}, Bol. Soc. Mat. Mex., III. Ser. 27, No. 1, Paper No. 16, 29 p. (2021; Zbl 1464.35330) Full Text: DOI
Ao, Yong Existence of solutions for a class of nonlinear Choquard equations with critical growth. (English) Zbl 1456.35186 Appl. Anal. 100, No. 3, 465-481 (2021). MSC: 35Q55 35R09 35J91 35A01 49J20 PDFBibTeX XMLCite \textit{Y. Ao}, Appl. Anal. 100, No. 3, 465--481 (2021; Zbl 1456.35186) Full Text: DOI arXiv
Georgiev, Vladimir; Venkov, George On uniqueness for the generalized Choquard equation. (English) Zbl 1479.35790 Georgiev, Vladimir (ed.) et al., Advances in harmonic analysis and partial differential equations. Based on the 12th ISAAC congress, session “Harmonic analysis and partial differential equations”, Aveiro, Portugal, July 29 – August 2, 2019. Cham: Birkhäuser. Trends Math., 263-278 (2020). MSC: 35Q55 35Q41 35A02 35B35 35B40 PDFBibTeX XMLCite \textit{V. Georgiev} and \textit{G. Venkov}, in: Advances in harmonic analysis and partial differential equations. Based on the 12th ISAAC congress, session ``Harmonic analysis and partial differential equations'', Aveiro, Portugal, July 29 -- August 2, 2019. Cham: Birkhäuser. 263--278 (2020; Zbl 1479.35790) Full Text: DOI
Saanouni, Tarek Scattering versus blow-up beyond the threshold for the focusing Choquard equation. (English) Zbl 1462.35368 J. Math. Anal. Appl. 492, No. 1, Article ID 124436, 30 p. (2020). MSC: 35Q55 35Q40 35P25 35B44 35A01 35A02 PDFBibTeX XMLCite \textit{T. Saanouni}, J. Math. Anal. Appl. 492, No. 1, Article ID 124436, 30 p. (2020; Zbl 1462.35368) Full Text: DOI
Wang, Guotao; Yang, Zedong; Agarwal, Ravi P.; Zhang, Lihong Study on a class of Schrödinger elliptic system involving a nonlinear operator. (English) Zbl 1448.35173 Nonlinear Anal., Model. Control 25, No. 5, 846-859 (2020). MSC: 35J47 35J10 35J60 35B08 35A01 PDFBibTeX XMLCite \textit{G. Wang} et al., Nonlinear Anal., Model. Control 25, No. 5, 846--859 (2020; Zbl 1448.35173) Full Text: DOI
Alves, Claudianor O.; De Lima, Romildo N.; Nóbrega, Alânnio B. Bifurcation properties for a class of Choquard equation in whole \(\mathbb{R}^3\). (English) Zbl 1445.35033 Glasg. Math. J. 62, No. 3, 531-543 (2020). MSC: 35B32 35J61 35P30 47H11 PDFBibTeX XMLCite \textit{C. O. Alves} et al., Glasg. Math. J. 62, No. 3, 531--543 (2020; Zbl 1445.35033) Full Text: DOI
Dinh, Van Duong Blow-up behavior of prescribed mass minimizers for nonlinear Choquard equations with singular potentials. (English) Zbl 1442.35127 Monatsh. Math. 192, No. 3, 551-589 (2020). MSC: 35J61 35B44 35A15 PDFBibTeX XMLCite \textit{V. D. Dinh}, Monatsh. Math. 192, No. 3, 551--589 (2020; Zbl 1442.35127) Full Text: DOI
Xie, Yingying; Su, Jian; Mei, Liquan Blowup results and concentration in focusing Schrödinger-Hartree equation. (English) Zbl 1440.35313 Discrete Contin. Dyn. Syst. 40, No. 8, 5001-5017 (2020). MSC: 35Q55 35Q41 35Q40 81Q05 35A01 35B44 PDFBibTeX XMLCite \textit{Y. Xie} et al., Discrete Contin. Dyn. Syst. 40, No. 8, 5001--5017 (2020; Zbl 1440.35313) Full Text: DOI
Li, Xinfu Global existence and blowup for Choquard equations with an inverse-square potential. (English) Zbl 1434.35184 J. Differ. Equations 268, No. 8, 4276-4319 (2020). MSC: 35Q55 35B30 35B44 35B08 35Q41 35B33 35A01 PDFBibTeX XMLCite \textit{X. Li}, J. Differ. Equations 268, No. 8, 4276--4319 (2020; Zbl 1434.35184) Full Text: DOI arXiv
Chen, Sitong; Zhang, Binlin; Tang, Xianhua Existence and non-existence results for Kirchhoff-type problems with convolution nonlinearity. (English) Zbl 1421.35100 Adv. Nonlinear Anal. 9, 148-167 (2020). MSC: 35J60 35J20 PDFBibTeX XMLCite \textit{S. Chen} et al., Adv. Nonlinear Anal. 9, 148--167 (2020; Zbl 1421.35100) Full Text: DOI
Wang, Yongbin; Feng, Binhua Sharp thresholds of blow-up and global existence for the Schrödinger equation with combined power-type and Choquard-type nonlinearities. (English) Zbl 1513.35483 Bound. Value Probl. 2019, Paper No. 195, 17 p. (2019). MSC: 35Q55 35A15 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{B. Feng}, Bound. Value Probl. 2019, Paper No. 195, 17 p. (2019; Zbl 1513.35483) Full Text: DOI
Saanouni, Tarek Scattering threshold for the focusing Choquard equation. (English) Zbl 1473.35379 NoDEA, Nonlinear Differ. Equ. Appl. 26, No. 6, Paper No. 41, 32 p. (2019). Reviewer: Vanessa Barros (São Mamede de Infesta) MSC: 35P25 35Q55 35B44 35A01 PDFBibTeX XMLCite \textit{T. Saanouni}, NoDEA, Nonlinear Differ. Equ. Appl. 26, No. 6, Paper No. 41, 32 p. (2019; Zbl 1473.35379) Full Text: DOI
Alharbi, Majed Ghazi; Saanouni, Tarek Sharp threshold of global well-posedness vs finite time blow-up for a class of inhomogeneous Choquard equations. (English) Zbl 1428.35477 J. Math. Phys. 60, No. 8, 081514, 24 p. (2019). MSC: 35Q55 35B44 35A01 PDFBibTeX XMLCite \textit{M. G. Alharbi} and \textit{T. Saanouni}, J. Math. Phys. 60, No. 8, 081514, 24 p. (2019; Zbl 1428.35477) Full Text: DOI
Chen, Sitong; Tang, Xianhua Ground state solutions of Schrödinger-Poisson systems with variable potential and convolution nonlinearity. (English) Zbl 1412.35114 J. Math. Anal. Appl. 473, No. 1, 87-111 (2019). MSC: 35J60 35J05 35J10 35J47 PDFBibTeX XMLCite \textit{S. Chen} and \textit{X. Tang}, J. Math. Anal. Appl. 473, No. 1, 87--111 (2019; Zbl 1412.35114) Full Text: DOI
Saanouni, Tarek A note on the fractional Schrödinger equation of Choquard type. (English) Zbl 1412.35372 J. Math. Anal. Appl. 470, No. 2, 1004-1029 (2019). MSC: 35R11 35B44 35B30 PDFBibTeX XMLCite \textit{T. Saanouni}, J. Math. Anal. Appl. 470, No. 2, 1004--1029 (2019; Zbl 1412.35372) Full Text: DOI
Liu, Kun; Shi, Cunqin Existence of stable standing waves for the Schrödinger-Choquard equation. (English) Zbl 1499.35557 Bound. Value Probl. 2018, Paper No. 160, 11 p. (2018). MSC: 35Q55 35B35 35B44 35R11 35Q40 PDFBibTeX XMLCite \textit{K. Liu} and \textit{C. Shi}, Bound. Value Probl. 2018, Paper No. 160, 11 p. (2018; Zbl 1499.35557) Full Text: DOI
Shi, Cunqin; Liu, Kun Dynamics of blow-up solutions for the Schrödinger-Choquard equation. (English) Zbl 1499.35559 Bound. Value Probl. 2018, Paper No. 64, 12 p. (2018). MSC: 35Q55 35A15 PDFBibTeX XMLCite \textit{C. Shi} and \textit{K. Liu}, Bound. Value Probl. 2018, Paper No. 64, 12 p. (2018; Zbl 1499.35559) Full Text: DOI
Saanouni, Tarek Strong instability of standing waves for the fractional Choquard equation. (English) Zbl 1395.35175 J. Math. Phys. 59, No. 8, 081509, 14 p. (2018). MSC: 35Q55 35R11 35A15 35B10 PDFBibTeX XMLCite \textit{T. Saanouni}, J. Math. Phys. 59, No. 8, 081509, 14 p. (2018; Zbl 1395.35175) Full Text: DOI
Luo, Huxiao Ground state solutions of Pohožaev type and Nehari type for a class of nonlinear Choquard equations. (English) Zbl 1398.35071 J. Math. Anal. Appl. 467, No. 2, 842-862 (2018). MSC: 35J61 PDFBibTeX XMLCite \textit{H. Luo}, J. Math. Anal. Appl. 467, No. 2, 842--862 (2018; Zbl 1398.35071) Full Text: DOI
Li, Xiaoliang; Liu, Baiyu Finite time blow-up and global existence for the nonlocal complex Ginzburg-Landau equation. (English) Zbl 1394.35487 J. Math. Anal. Appl. 466, No. 1, 961-985 (2018). MSC: 35Q56 35B44 35A01 PDFBibTeX XMLCite \textit{X. Li} and \textit{B. Liu}, J. Math. Anal. Appl. 466, No. 1, 961--985 (2018; Zbl 1394.35487) Full Text: DOI
Georgiev, Vladimir; Stefanov, Atanas On the classification of the spectrally stable standing waves of the Hartree problem. (English) Zbl 1390.81147 Physica D 370, 29-39 (2018). MSC: 81Q05 35C08 35R11 PDFBibTeX XMLCite \textit{V. Georgiev} and \textit{A. Stefanov}, Physica D 370, 29--39 (2018; Zbl 1390.81147) Full Text: DOI arXiv
Van Schaftingen, Jean; Xia, Jiankang Groundstates for a local nonlinear perturbation of the Choquard equations with lower critical exponent. (English) Zbl 1398.35094 J. Math. Anal. Appl. 464, No. 2, 1184-1202 (2018). MSC: 35J91 35J20 PDFBibTeX XMLCite \textit{J. Van Schaftingen} and \textit{J. Xia}, J. Math. Anal. Appl. 464, No. 2, 1184--1202 (2018; Zbl 1398.35094) Full Text: DOI arXiv
Feng, Binhua; Zhang, Honghong Stability of standing waves for the fractional Schrödinger-Hartree equation. (English) Zbl 1470.35392 J. Math. Anal. Appl. 460, No. 1, 352-364 (2018). MSC: 35R11 35Q55 35B35 35C08 PDFBibTeX XMLCite \textit{B. Feng} and \textit{H. Zhang}, J. Math. Anal. Appl. 460, No. 1, 352--364 (2018; Zbl 1470.35392) Full Text: DOI
Tarulli, Mirko; Venkov, George A functional inequality associated to a Gagliardo-Nirenberg type quotient. (English) Zbl 1465.35363 Pasheva, Vesela (ed.) et al., Proceedings of the 43rd international conference on applications of mathematics in engineering and economics, AMEE’17, Sozopol, Bulgaria, June 8–13, 2017. Melville, NY: American Institute of Physics (AIP). AIP Conf. Proc. 1910, Article 040014, 6 p. (2017). MSC: 35Q55 39B62 PDFBibTeX XMLCite \textit{M. Tarulli} and \textit{G. Venkov}, AIP Conf. Proc. 1910, Article 040014, 6 p. (2017; Zbl 1465.35363) Full Text: DOI
Bonheure, Denis; Cingolani, Silvia; Van Schaftingen, Jean The logarithmic Choquard equation: sharp asymptotics and nondegeneracy of the groundstate. (English) Zbl 1386.35052 J. Funct. Anal. 272, No. 12, 5255-5281 (2017). Reviewer: Yang Yang (Wuxi) MSC: 35J05 35J61 35B09 PDFBibTeX XMLCite \textit{D. Bonheure} et al., J. Funct. Anal. 272, No. 12, 5255--5281 (2017; Zbl 1386.35052) Full Text: DOI arXiv
Moroz, Vitaly; Van Schaftingen, Jean A guide to the Choquard equation. (English) Zbl 1360.35252 J. Fixed Point Theory Appl. 19, No. 1, 773-813 (2017). MSC: 35Q55 35R09 35J91 PDFBibTeX XMLCite \textit{V. Moroz} and \textit{J. Van Schaftingen}, J. Fixed Point Theory Appl. 19, No. 1, 773--813 (2017; Zbl 1360.35252) Full Text: DOI arXiv Link
Wang, Xing; Sun, Xiaomei; Lv, Wenhua Orbital stability of generalized Choquard equation. (English) Zbl 1372.35251 Bound. Value Probl. 2016, Paper No. 190, 8 p. (2016). MSC: 35Q35 35B35 35A15 PDFBibTeX XMLCite \textit{X. Wang} et al., Bound. Value Probl. 2016, Paper No. 190, 8 p. (2016; Zbl 1372.35251) Full Text: DOI
Feng, Binhua Sharp threshold of global existence and instability of standing wave for the Schrödinger-Hartree equation with a harmonic potential. (English) Zbl 1342.35330 Nonlinear Anal., Real World Appl. 31, 132-145 (2016). MSC: 35Q55 35Q40 35B35 35B44 35A01 35A15 PDFBibTeX XMLCite \textit{B. Feng}, Nonlinear Anal., Real World Appl. 31, 132--145 (2016; Zbl 1342.35330) Full Text: DOI
Feng, Binhua; Yuan, Xiangxia On the Cauchy problem for the Schrödinger-Hartree equation. (English) Zbl 1335.35230 Evol. Equ. Control Theory 4, No. 4, 431-445 (2015). MSC: 35Q55 35Q51 35B44 PDFBibTeX XMLCite \textit{B. Feng} and \textit{X. Yuan}, Evol. Equ. Control Theory 4, No. 4, 431--445 (2015; Zbl 1335.35230) Full Text: DOI
Ye, Hongyu The existence of least energy nodal solutions for some class of Kirchhoff equations and Choquard equations in \(\mathbb R^N\). (English) Zbl 1329.35203 J. Math. Anal. Appl. 431, No. 2, 935-954 (2015). MSC: 35L70 35R09 PDFBibTeX XMLCite \textit{H. Ye}, J. Math. Anal. Appl. 431, No. 2, 935--954 (2015; Zbl 1329.35203) Full Text: DOI arXiv
Moroz, Vitaly; van Schaftingen, Jean Existence of groundstates for a class of nonlinear Choquard equations. (English) Zbl 1325.35052 Trans. Am. Math. Soc. 367, No. 9, 6557-6579 (2015). MSC: 35J61 35B33 35B38 35B65 35Q55 45K05 PDFBibTeX XMLCite \textit{V. Moroz} and \textit{J. van Schaftingen}, Trans. Am. Math. Soc. 367, No. 9, 6557--6579 (2015; Zbl 1325.35052) Full Text: DOI arXiv
Moroz, Vitaly; van Schaftingen, Jean Semi-classical states for the Choquard equation. (English) Zbl 1309.35029 Calc. Var. Partial Differ. Equ. 52, No. 1-2, 199-235 (2015). Reviewer: Florin Catrina (New York) MSC: 35J61 35B09 35B25 35B33 35B40 35Q55 45K05 PDFBibTeX XMLCite \textit{V. Moroz} and \textit{J. van Schaftingen}, Calc. Var. Partial Differ. Equ. 52, No. 1--2, 199--235 (2015; Zbl 1309.35029) Full Text: DOI arXiv arXiv
Bonanno, Claudio; d’Avenia, Pietro; Ghimenti, Marco; Squassina, Marco Soliton dynamics for the generalized Choquard equation. (English) Zbl 1332.35066 J. Math. Anal. Appl. 417, No. 1, 180-199 (2014). MSC: 35C08 35Q55 35R09 35B35 PDFBibTeX XMLCite \textit{C. Bonanno} et al., J. Math. Anal. Appl. 417, No. 1, 180--199 (2014; Zbl 1332.35066) Full Text: DOI arXiv
Li, Gong-Bao; Ye, Hong-Yu The existence of positive solutions with prescribed \(L^{2}\)-norm for nonlinear Choquard equations. (English) Zbl 1304.35587 J. Math. Phys. 55, No. 12, 121501, 19 p. (2014). MSC: 35Q40 81V70 82B10 35B09 35D30 49J35 PDFBibTeX XMLCite \textit{G.-B. Li} and \textit{H.-Y. Ye}, J. Math. Phys. 55, No. 12, 121501, 19 p. (2014; Zbl 1304.35587) Full Text: DOI