Cingolani, Silvia; Tanaka, Kazunaga Semi-classical analysis around local maxima and saddle points for degenerate nonlinear Choquard equations. (English) Zbl 1519.35287 J. Geom. Anal. 33, No. 10, Paper No. 316, 55 p. (2023). MSC: 35Q55 35Q40 35J20 58E05 35B38 35A15 35A01 35A02 PDFBibTeX XMLCite \textit{S. Cingolani} and \textit{K. Tanaka}, J. Geom. Anal. 33, No. 10, Paper No. 316, 55 p. (2023; Zbl 1519.35287) 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 PDFBibTeX XMLCite \textit{Y. Luo} et al., Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 1, 303--323 (2023; Zbl 1513.35242) Full Text: DOI
Bueno, Hamilton; Pereira, Gilberto A.; Silva, Edcarlos D.; Ruviaro, Ricardo Existence and nonexistence of solutions to nonlocal elliptic problems. (English) Zbl 1485.35190 SN Partial Differ. Equ. Appl. 3, No. 1, Paper No. 8, 32 p. (2022). MSC: 35J60 35A01 35A15 PDFBibTeX XMLCite \textit{H. Bueno} et al., SN Partial Differ. Equ. Appl. 3, No. 1, Paper No. 8, 32 p. (2022; Zbl 1485.35190) Full Text: DOI
Zhou, Li; Zhu, Chuanxi Ground state solution for a class of magnetic equation with general convolution nonlinearity. (English) Zbl 1485.35414 AIMS Math. 6, No. 8, 9100-9108 (2021). MSC: 35R11 35A15 35J35 35J60 PDFBibTeX XMLCite \textit{L. Zhou} and \textit{C. Zhu}, AIMS Math. 6, No. 8, 9100--9108 (2021; Zbl 1485.35414) Full Text: DOI
Bonheure, Denis; Cingolani, Silvia; Secchi, Simone Concentration phenomena for the Schrödinger-Poisson system in \(\mathbb{R}^2\). (English) Zbl 1480.35153 Discrete Contin. Dyn. Syst., Ser. S 14, No. 5, 1631-1648 (2021). MSC: 35J47 35J61 35Q55 35A01 PDFBibTeX XMLCite \textit{D. Bonheure} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 5, 1631--1648 (2021; Zbl 1480.35153) Full Text: DOI arXiv
Cingolani, Silvia; Tanaka, Kazunaga Ground state solutions for the nonlinear Choquard equation with prescribed mass. (English) Zbl 1475.35136 Ferone, Vincenzo (ed.) et al., Geometric properties for parabolic and elliptic PDE’s. Contributions of the 6th Italian-Japanese workshop, Cortona, Italy, May 20–24, 2019. Cham: Springer. Springer INdAM Ser. 47, 23-41 (2021). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35J20 35J91 PDFBibTeX XMLCite \textit{S. Cingolani} and \textit{K. Tanaka}, Springer INdAM Ser. 47, 23--41 (2021; Zbl 1475.35136) Full Text: DOI
Sreenadh, K.; Mukherjee, T. Critical growth elliptic problems with Choquard type nonlinearity: a survey. (English) Zbl 07357287 Manchanda, Pammy (ed.) et al., Mathematical modelling, optimization, analytic and numerical solutions. Selected papers based on the presentations at the international conference in conjunction with 14th biennial conference of ISIAM, Guru Nanak Dev University, Amritsar, India, February 2–4, 2018. Singapore: Springer. Ind. Appl. Math., 197-229 (2020). MSC: 35K86 PDFBibTeX XMLCite \textit{K. Sreenadh} and \textit{T. Mukherjee}, in: Mathematical modelling, optimization, analytic and numerical solutions. Selected papers based on the presentations at the international conference in conjunction with 14th biennial conference of ISIAM, Guru Nanak Dev University, Amritsar, India, February 2--4, 2018. Singapore: Springer. 197--229 (2020; Zbl 07357287) Full Text: DOI arXiv
Cingolani, Silvia; Tanaka, Kazunaga Semi-classical states for the nonlinear Choquard equations: existence, multiplicity and concentration at a potential well. (English) Zbl 1431.35169 Rev. Mat. Iberoam. 35, No. 6, 1885-1924 (2019). MSC: 35Q55 35Q40 35J20 58E05 35B09 35A01 35A15 PDFBibTeX XMLCite \textit{S. Cingolani} and \textit{K. Tanaka}, Rev. Mat. Iberoam. 35, No. 6, 1885--1924 (2019; Zbl 1431.35169) Full Text: DOI arXiv
Bueno, H.; Mamani, G. G.; Pereira, G. A. Ground state of a magnetic nonlinear Choquard equation. (English) Zbl 1420.35344 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 181, 189-199 (2019). Reviewer: Alessandro Selvitella (Fort Wayne) MSC: 35Q55 35Q40 35J20 35A15 35A01 58E05 35B38 PDFBibTeX XMLCite \textit{H. Bueno} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 181, 189--199 (2019; Zbl 1420.35344) Full Text: DOI arXiv
Lei, Yutian On finite energy solutions of fractional order equations of the Choquard type. (English) Zbl 1408.35043 Discrete Contin. Dyn. Syst. 39, No. 3, 1497-1515 (2019). MSC: 35J60 35R11 PDFBibTeX XMLCite \textit{Y. Lei}, Discrete Contin. Dyn. Syst. 39, No. 3, 1497--1515 (2019; Zbl 1408.35043) Full Text: DOI
Mukherjee, T.; Sreenadh, K. On concentration of least energy solutions for magnetic critical Choquard equations. (English) Zbl 1392.35290 J. Math. Anal. Appl. 464, No. 1, 402-420 (2018). MSC: 35Q55 35Q40 35A15 35B33 PDFBibTeX XMLCite \textit{T. Mukherjee} and \textit{K. Sreenadh}, J. Math. Anal. Appl. 464, No. 1, 402--420 (2018; Zbl 1392.35290) Full Text: DOI arXiv
Wang, Jun; Qu, Mengmeng; Xiao, Lu Existence of positive solutions to the nonlinear Choquard equation with competing potentials. (English) Zbl 1387.35271 Electron. J. Differ. Equ. 2018, Paper No. 63, 21 p. (2018). MSC: 35J61 35J20 49J40 PDFBibTeX XMLCite \textit{J. Wang} et al., Electron. J. Differ. Equ. 2018, Paper No. 63, 21 p. (2018; Zbl 1387.35271) Full Text: Link
Secchi, Simone Existence of solutions for a semirelativistic Hartree equation with unbounded potentials. (English) Zbl 1391.35139 Forum Math. 30, No. 1, 129-140 (2018). Reviewer: Elvira Mascolo (Firenze) MSC: 35J60 35Q55 PDFBibTeX XMLCite \textit{S. Secchi}, Forum Math. 30, No. 1, 129--140 (2018; Zbl 1391.35139) Full Text: DOI arXiv
Li, Hong-Yao; Tang, Chun-Lei; Wu, Xing-Ping Multiple positive solutions for a nonlinear Choquard equation with nonhomogeneous. (English) Zbl 1404.35200 Differ. Equ. Appl. 9, No. 4, 553-563 (2017). MSC: 35J91 35B09 PDFBibTeX XMLCite \textit{H.-Y. Li} et al., Differ. Equ. Appl. 9, No. 4, 553--563 (2017; Zbl 1404.35200) Full Text: DOI
Shen, Zifei; Gao, Fashun; Yang, Minbo Multiple solutions for nonhomogeneous Choquard equation involving Hardy-Littlewood-Sobolev critical exponent. (English) Zbl 1375.35146 Z. Angew. Math. Phys. 68, No. 3, Paper No. 61, 25 p. (2017). MSC: 35J25 35J60 35A15 PDFBibTeX XMLCite \textit{Z. Shen} et al., Z. Angew. Math. Phys. 68, No. 3, Paper No. 61, 25 p. (2017; Zbl 1375.35146) Full Text: DOI
Zhang, Hui; Xu, Junxiang; Zhang, Fubao Existence and multiplicity of solutions for a generalized Choquard equation. (English) Zbl 1375.35134 Comput. Math. Appl. 73, No. 8, 1803-1814 (2017). MSC: 35J20 35J91 PDFBibTeX XMLCite \textit{H. Zhang} et al., Comput. Math. Appl. 73, No. 8, 1803--1814 (2017; Zbl 1375.35134) Full Text: DOI
Zhang, Hui; Xu, Junxiang; Zhang, Fubao Bound and ground states for a concave-convex generalized Choquard equation. (English) Zbl 1515.35017 Acta Appl. Math. 147, No. 1, 81-93 (2017). MSC: 35A15 35J61 35R09 PDFBibTeX XMLCite \textit{H. Zhang} et al., Acta Appl. Math. 147, No. 1, 81--93 (2017; Zbl 1515.35017) Full Text: DOI
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
Lü, Dengfeng Existence and concentration behavior of ground state solutions for magnetic nonlinear Choquard equations. (English) Zbl 1351.35185 Commun. Pure Appl. Anal. 15, No. 5, 1781-1795 (2016). MSC: 35Q55 35J60 35A15 81V70 PDFBibTeX XMLCite \textit{D. Lü}, Commun. Pure Appl. Anal. 15, No. 5, 1781--1795 (2016; Zbl 1351.35185) Full Text: DOI
Alves, Claudianor O.; Cassani, Daniele; Tarsi, Cristina; Yang, Minbo Existence and concentration of ground state solutions for a critical nonlocal Schrödinger equation in \(\mathbb R^2\). (English) Zbl 1347.35096 J. Differ. Equations 261, No. 3, 1933-1972 (2016). Reviewer: Petr Tomiczek (Plzeň) MSC: 35J20 35J60 35B33 PDFBibTeX XMLCite \textit{C. O. Alves} et al., J. Differ. Equations 261, No. 3, 1933--1972 (2016; Zbl 1347.35096) Full Text: DOI arXiv
Ghimenti, Marco; Van Schaftingen, Jean Nodal solutions for the Choquard equation. (English) Zbl 1345.35046 J. Funct. Anal. 271, No. 1, 107-135 (2016). Reviewer: Leszek Gasiński (Kraków) MSC: 35J91 35J20 35Q55 PDFBibTeX XMLCite \textit{M. Ghimenti} and \textit{J. Van Schaftingen}, J. Funct. Anal. 271, No. 1, 107--135 (2016; Zbl 1345.35046) Full Text: DOI arXiv
Xie, Tao; Xiao, Lu; Wang, Jun Existence of multiple positive solutions for Choquard equation with perturbation. (English) Zbl 1375.35220 Adv. Math. Phys. 2015, Article ID 760157, 10 p. (2015). MSC: 35J91 35J20 35B09 35Q55 35R09 PDFBibTeX XMLCite \textit{T. Xie} et al., Adv. Math. Phys. 2015, Article ID 760157, 10 p. (2015; Zbl 1375.35220) Full Text: DOI
Lü, Dengfeng Existence and concentration of solutions for a nonlinear Choquard equation. (English) Zbl 1322.35031 Mediterr. J. Math. 12, No. 3, 839-850 (2015). MSC: 35J60 35Q55 35B38 PDFBibTeX XMLCite \textit{D. Lü}, Mediterr. J. Math. 12, No. 3, 839--850 (2015; Zbl 1322.35031) Full Text: DOI
Salazar, Dora Vortex-type solutions to a magnetic nonlinear Choquard equation. (English) Zbl 1320.35330 Z. Angew. Math. Phys. 66, No. 3, 663-675 (2015). MSC: 35Q55 35Q40 35A01 35B06 35J20 PDFBibTeX XMLCite \textit{D. Salazar}, Z. Angew. Math. Phys. 66, No. 3, 663--675 (2015; Zbl 1320.35330) Full Text: DOI Link
Cingolani, Silvia; Secchi, Simone Semiclassical analysis for pseudo-relativistic Hartree equations. (English) Zbl 1319.35204 J. Differ. Equations 258, No. 12, 4156-4179 (2015). MSC: 35Q40 PDFBibTeX XMLCite \textit{S. Cingolani} and \textit{S. Secchi}, J. Differ. Equations 258, No. 12, 4156--4179 (2015; Zbl 1319.35204) Full Text: DOI arXiv
Sun, Xiaomei; Zhang, Yimin Multi-peak solution for nonlinear magnetic Choquard type equation. (English) Zbl 1296.35180 J. Math. Phys. 55, No. 3, 031508, 25 p. (2014). Reviewer: Natalia Bondarenko (Saratov) MSC: 35Q55 35J15 35J60 35Q40 PDFBibTeX XMLCite \textit{X. Sun} and \textit{Y. Zhang}, J. Math. Phys. 55, No. 3, 031508, 25 p. (2014; Zbl 1296.35180) Full Text: DOI
Lü, Dengfeng A note on Kirchhoff-type equations with Hartree-type nonlinearities. (English) Zbl 1286.35108 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 99, 35-48 (2014). MSC: 35J60 35Q55 35J10 PDFBibTeX XMLCite \textit{D. Lü}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 99, 35--48 (2014; Zbl 1286.35108) Full Text: DOI
Clapp, Mónica; Salazar, Dora Positive and sign changing solutions to a nonlinear Choquard equation. (English) Zbl 1310.35114 J. Math. Anal. Appl. 407, No. 1, 1-15 (2013). MSC: 35J60 35B09 PDFBibTeX XMLCite \textit{M. Clapp} and \textit{D. Salazar}, J. Math. Anal. Appl. 407, No. 1, 1--15 (2013; Zbl 1310.35114) Full Text: DOI arXiv Link
Cingolani, Silvia; Clapp, Mónica; Secchi, Simone Multiple solutions to a magnetic nonlinear Choquard equation. (English) Zbl 1247.35141 Z. Angew. Math. Phys. 63, No. 2, 233-248 (2012). Reviewer: Georg Hebermehl (Berlin) MSC: 35Q55 35Q40 35J20 35B06 35A01 35B40 PDFBibTeX XMLCite \textit{S. Cingolani} et al., Z. Angew. Math. Phys. 63, No. 2, 233--248 (2012; Zbl 1247.35141) Full Text: DOI arXiv