Fukaya, Noriyoshi; Georgiev, Vladimir; Ikeda, Masahiro On stability and instability of standing waves for 2d-nonlinear Schrödinger equations with point interaction. (English) Zbl 1490.35415 J. Differ. Equations 321, 258-295 (2022). MSC: 35Q55 35B35 PDFBibTeX XMLCite \textit{N. Fukaya} et al., J. Differ. Equations 321, 258--295 (2022; Zbl 1490.35415) Full Text: DOI arXiv
Georgiev, Vladimir; Li, Yuan Nondispersive solutions to the mass critical half-wave equation in two dimensions. (English) Zbl 1517.35203 Commun. Partial Differ. Equations 47, No. 1, 39-88 (2022). Reviewer: Ivan Naumkin (Nice) MSC: 35Q55 35C07 35C08 35A01 35A02 35A15 28A33 35R11 PDFBibTeX XMLCite \textit{V. Georgiev} and \textit{Y. Li}, Commun. Partial Differ. Equations 47, No. 1, 39--88 (2022; Zbl 1517.35203) Full Text: DOI arXiv
Georgiev, Vladimir; Li, Yuan Blowup dynamics for mass critical half-wave equation in 3D. (English) Zbl 1472.35355 J. Funct. Anal. 281, No. 7, Article ID 109132, 34 p. (2021). MSC: 35Q55 35B44 35B40 PDFBibTeX XMLCite \textit{V. Georgiev} and \textit{Y. Li}, J. Funct. Anal. 281, No. 7, Article ID 109132, 34 p. (2021; Zbl 1472.35355) 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
Bellazzini, Jacopo; Georgiev, Vladimir; Lenzmann, Enno; Visciglia, Nicola On traveling solitary waves and absence of small data scattering for nonlinear half-wave equations. (English) Zbl 1427.35224 Commun. Math. Phys. 372, No. 2, 713-732 (2019); correction ibid. 383, No. 2, 1291-1294 (2021). MSC: 35Q53 35C08 35S05 PDFBibTeX XMLCite \textit{J. Bellazzini} et al., Commun. Math. Phys. 372, No. 2, 713--732 (2019; Zbl 1427.35224) Full Text: DOI arXiv
Garrisi, Daniele; Georgiev, Vladimir Uniqueness of standing-waves for a non-linear Schrödinger equation with three pure-power combinations in dimension one. (English) Zbl 1423.35349 Zheng, Shijun (ed.) et al., Nonlinear dispersive waves and fluids. AMS special sessions on spectral calculus and quasilinear partial differential equations, and PDE analysis on fluid flows, Atlanta, GA, USA, January 5–7, 2017. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 725, 137-148 (2019). MSC: 35Q55 47J35 PDFBibTeX XMLCite \textit{D. Garrisi} and \textit{V. Georgiev}, Contemp. Math. 725, 137--148 (2019; Zbl 1423.35349) Full Text: DOI arXiv
Georgiev, Vladimir; Tarulli, Mirko; Venkov, George Existence and uniqueness of ground states for \(p\)-Choquard model. (English) Zbl 1406.35318 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 179, 131-145 (2019). MSC: 35Q51 35Q40 35Q55 49S05 35A01 35A02 PDFBibTeX XMLCite \textit{V. Georgiev} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 179, 131--145 (2019; Zbl 1406.35318) Full Text: DOI arXiv
Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru Higher order fractional Leibniz rule. (English) Zbl 1400.46027 J. Fourier Anal. Appl. 24, No. 3, 650-665 (2018). MSC: 46E35 42B25 PDFBibTeX XMLCite \textit{K. Fujiwara} et al., J. Fourier Anal. Appl. 24, No. 3, 650--665 (2018; Zbl 1400.46027) Full Text: DOI arXiv Backlinks: MO
Garrisi, Daniele; Georgiev, Vladimir Orbital stability and uniqueness of the ground state for the non-linear Schrödinger equation in dimension one. (English) Zbl 1366.35167 Discrete Contin. Dyn. Syst. 37, No. 8, 4309-4328 (2017). MSC: 35Q55 47J35 35B35 PDFBibTeX XMLCite \textit{D. Garrisi} and \textit{V. Georgiev}, Discrete Contin. Dyn. Syst. 37, No. 8, 4309--4328 (2017; Zbl 1366.35167) Full Text: DOI arXiv
Georgiev, Vladimir; Tarulli, Mirko Dispersive properties of Schrödinger operators in the absence of a resonance at zero energy in 3D. (English) Zbl 1270.35076 Ruzhansky, Michael (ed.) et al., Evolution equations of hyperbolic and Schrödinger type. Asymptotics, estimates and nonlinearities. Based on a workshop on asymptotic properties of solutions to hyperbolic equations, London, UK, March 2011. Basel: Springer (ISBN 978-3-0348-0453-0/hbk; 978-3-0348-0454-7/ebook). Progress in Mathematics 301, 115-143 (2012). Reviewer: Mihai Pascu (Bucureşti) MSC: 35B34 35P30 35Q55 35J10 35L15 PDFBibTeX XMLCite \textit{V. Georgiev} and \textit{M. Tarulli}, Prog. Math. 301, 115--143 (2012; Zbl 1270.35076) Full Text: DOI arXiv
Georgiev, Vladimir; Prinari, Francesca; Visciglia, Nicola On the radiality of constrained minimizers to the Schrödinger-Poisson-Slater energy. (English. French summary) Zbl 1260.35204 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 29, No. 3, 369-376 (2012). MSC: 35Q55 35J20 35B06 PDFBibTeX XMLCite \textit{V. Georgiev} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 29, No. 3, 369--376 (2012; Zbl 1260.35204) Full Text: DOI arXiv
Georgiev, Vladimir; Ohta, Masahito Nonlinear instability of linearly unstable standing waves for nonlinear Schrödinger equations. (English) Zbl 1253.35158 J. Math. Soc. Japan 64, No. 2, 533-548 (2012). Reviewer: A. D. Osborne (Keele) MSC: 35Q55 35B35 35B45 PDFBibTeX XMLCite \textit{V. Georgiev} and \textit{M. Ohta}, J. Math. Soc. Japan 64, No. 2, 533--548 (2012; Zbl 1253.35158) Full Text: DOI arXiv Euclid