Jin, Ke; Shi, Ying; Xie, Huafei The limiting profile of solutions for semilinear elliptic systems with a shrinking self-focusing core. (English) Zbl 07815360 Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 2, 583-608 (2024). MSC: 35J60 35J20 PDFBibTeX XMLCite \textit{K. Jin} et al., Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 2, 583--608 (2024; Zbl 07815360) Full Text: DOI
Mo, Shuai; Wang, Lixia Normalized solutions to planar Schrödinger equation with exponential critical nonlinearity. (English) Zbl 07804858 Z. Angew. Math. Phys. 75, No. 1, Paper No. 26, 19 p. (2024). MSC: 35J10 35Q55 35B33 35A01 35A15 PDFBibTeX XMLCite \textit{S. Mo} and \textit{L. Wang}, Z. Angew. Math. Phys. 75, No. 1, Paper No. 26, 19 p. (2024; Zbl 07804858) Full Text: DOI
Bozorgnia, Farid; Bungert, Leon; Tenbrinck, Daniel The infinity Laplacian eigenvalue problem: reformulation and a numerical scheme. (English) Zbl 07794695 J. Sci. Comput. 98, No. 2, Paper No. 40, 28 p. (2024). MSC: 35D40 35P30 65N06 65N12 65N25 PDFBibTeX XMLCite \textit{F. Bozorgnia} et al., J. Sci. Comput. 98, No. 2, Paper No. 40, 28 p. (2024; Zbl 07794695) Full Text: DOI arXiv
Li, Quanqing; Rădulescu, Vicenţiu D.; Zhang, Wen Normalized ground states for the Sobolev critical Schrödinger equation with at least mass critical growth. (English) Zbl 07791462 Nonlinearity 37, No. 2, Article ID 025018, 28 p. (2024). MSC: 35J10 35Q55 35A01 35A15 PDFBibTeX XMLCite \textit{Q. Li} et al., Nonlinearity 37, No. 2, Article ID 025018, 28 p. (2024; Zbl 07791462) Full Text: DOI
Agostinho, Francisco; Correia, Simão; Tavares, Hugo Classification and stability of positive solutions to the NLS equation on the \(\mathcal{T}\)-metric graph. (English) Zbl 07789596 Nonlinearity 37, No. 2, Article ID 025005, 47 p. (2024). MSC: 34B45 05C12 34B08 34B18 47J30 34L40 34D20 PDFBibTeX XMLCite \textit{F. Agostinho} et al., Nonlinearity 37, No. 2, Article ID 025005, 47 p. (2024; Zbl 07789596) Full Text: DOI arXiv
Osada, Yuki A singular perturbation problem for a nonlinear Schrödinger system with three wave interaction. (English) Zbl 07786720 NoDEA, Nonlinear Differ. Equ. Appl. 31, No. 1, Paper No. 7, 29 p. (2024). MSC: 35B25 35B40 35J47 35J61 PDFBibTeX XMLCite \textit{Y. Osada}, NoDEA, Nonlinear Differ. Equ. Appl. 31, No. 1, Paper No. 7, 29 p. (2024; Zbl 07786720) Full Text: DOI
Guo, Yujin; Li, Yan; Luo, Yong Ground states of attractive Bose gases in rotating anharmonic traps. (English) Zbl 07784457 J. Funct. Anal. 286, No. 3, Article ID 110243, 49 p. (2024). MSC: 35Q82 35Q40 82B10 82D05 81V73 35J60 PDFBibTeX XMLCite \textit{Y. Guo} et al., J. Funct. Anal. 286, No. 3, Article ID 110243, 49 p. (2024; Zbl 07784457) Full Text: DOI arXiv
Li, Quanqing; Zou, Wenming Normalized ground states for Sobolev critical nonlinear Schrödinger equation in the \(L^2\)-supercritical case. (English) Zbl 07770129 Discrete Contin. Dyn. Syst. 44, No. 1, 205-227 (2024). MSC: 35J10 35Q55 35A01 35A15 PDFBibTeX XMLCite \textit{Q. Li} and \textit{W. Zou}, Discrete Contin. Dyn. Syst. 44, No. 1, 205--227 (2024; Zbl 07770129) Full Text: DOI
Luo, Huxiao Asymptotic properties of ground states to the Choquard equation with generalized autonomous perturbation. (English) Zbl 1526.35133 J. Geom. Anal. 34, No. 1, Paper No. 1, 38 p. (2024). MSC: 35J15 35J61 35P30 35A01 35B65 35B40 35A15 PDFBibTeX XMLCite \textit{H. Luo}, J. Geom. Anal. 34, No. 1, Paper No. 1, 38 p. (2024; Zbl 1526.35133) Full Text: DOI
Li, Xiaoguang; Zhang, Guoqing; Liu, Lele Ground states for the NLS equation with combined local nonlinearities on noncompact metric graphs. (English) Zbl 1528.35162 J. Math. Anal. Appl. 530, No. 1, Article ID 127672, 26 p. (2024). MSC: 35Q55 35Q41 35A23 35A01 35R10 35R02 46E35 PDFBibTeX XMLCite \textit{X. Li} et al., J. Math. Anal. Appl. 530, No. 1, Article ID 127672, 26 p. (2024; Zbl 1528.35162) Full Text: DOI
Perelman, Galina Formation of singularities in nonlinear dispersive PDEs. (English) Zbl 07823089 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 5. Sections 9–11. Berlin: European Mathematical Society (EMS). 3854-3879 (2023). MSC: 35Q55 35Q41 35Q51 35A21 35B30 35B44 35C08 35A01 35A02 PDFBibTeX XMLCite \textit{G. Perelman}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 5. Sections 9--11. Berlin: European Mathematical Society (EMS). 3854--3879 (2023; Zbl 07823089) Full Text: DOI OA License
Brustad, Karl K.; Lindgren, Erik; Lindqvist, Peter The infinity-Laplacian in smooth convex domains and in a square. (English) Zbl 07817715 Math. Eng. (Springfield) 5, No. 4, Paper No. 80, 16 p. (2023). MSC: 35J94 35P30 35J65 PDFBibTeX XMLCite \textit{K. K. Brustad} et al., Math. Eng. (Springfield) 5, No. 4, Paper No. 80, 16 p. (2023; Zbl 07817715) Full Text: DOI arXiv
Zhang, Ziheng; Liu, Jianlun; Guan, Qingle Existence and multiplicity of normalized solutions to biharmonic Schrödinger equations with subcritical growth. (English) Zbl 07796992 Bull. Iran. Math. Soc. 49, No. 6, Paper No. 80, 26 p. (2023). MSC: 35J30 35J61 35A01 35A15 PDFBibTeX XMLCite \textit{Z. Zhang} et al., Bull. Iran. Math. Soc. 49, No. 6, Paper No. 80, 26 p. (2023; Zbl 07796992) Full Text: DOI
Zhang, Cui; Li, Fuyi Sign-changing solutions to critical Schrödinger equation with Hartree-type nonlinearity. (English) Zbl 07782164 Z. Angew. Math. Phys. 74, No. 6, Paper No. 238, 28 p. (2023). MSC: 35J61 35A01 35A15 PDFBibTeX XMLCite \textit{C. Zhang} and \textit{F. Li}, Z. Angew. Math. Phys. 74, No. 6, Paper No. 238, 28 p. (2023; Zbl 07782164) Full Text: DOI
Hu, Hangzhou; Li, Yuan; Zhao, Dun On the ground states for the X-ray free electron lasers Schrödinger equation. (English) Zbl 07782101 Math. Methods Appl. Sci. 46, No. 5, 5099-5118 (2023). MSC: 35Q55 35J20 46B50 35Q40 PDFBibTeX XMLCite \textit{H. Hu} et al., Math. Methods Appl. Sci. 46, No. 5, 5099--5118 (2023; Zbl 07782101) Full Text: DOI
Cely, Liliana Stability of ground states of nonlinear Schrödinger systems. (English) Zbl 1527.35367 Electron. J. Differ. Equ. 2023, Paper No. 76, 20 p. (2023). MSC: 35Q55 35Q40 PDFBibTeX XMLCite \textit{L. Cely}, Electron. J. Differ. Equ. 2023, Paper No. 76, 20 p. (2023; Zbl 1527.35367) Full Text: Link
Chen, Sitong; Tang, Xianhua Normalized solutions for Schrödinger equations with mixed dispersion and critical exponential growth in \(\mathbb{R}^2\). (English) Zbl 1528.35036 Calc. Var. Partial Differ. Equ. 62, No. 9, Paper No. 261, 37 p. (2023). MSC: 35J10 35J61 35Q55 35A01 35A15 PDFBibTeX XMLCite \textit{S. Chen} and \textit{X. Tang}, Calc. Var. Partial Differ. Equ. 62, No. 9, Paper No. 261, 37 p. (2023; Zbl 1528.35036) Full Text: DOI
Chen, Zhen; Zou, Wenming Ground states of nonlinear Schrödinger systems with mixed couplings: the critical case. (English) Zbl 1528.35050 Complex Var. Elliptic Equ. 68, No. 11, 1964-1983 (2023). MSC: 35J57 35A01 35A15 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{W. Zou}, Complex Var. Elliptic Equ. 68, No. 11, 1964--1983 (2023; Zbl 1528.35050) Full Text: DOI
Chen, Peng; Chen, Huimao; Li, Yuanyuan Ground states for \(K\)-component coupled nonlinear Schrödinger equations with two types of strongly indefinite structure. (English) Zbl 1523.35137 J. Geom. Anal. 33, No. 11, Paper No. 362, 87 p. (2023). MSC: 35J10 35J61 35J47 35A01 35A15 PDFBibTeX XMLCite \textit{P. Chen} et al., J. Geom. Anal. 33, No. 11, Paper No. 362, 87 p. (2023; Zbl 1523.35137) Full Text: DOI
Henning, Patrick; Persson, Anna On optimal convergence rates for discrete minimizers of the Gross-Pitaevskii energy in localized orthogonal decomposition spaces. (English) Zbl 1519.35292 Multiscale Model. Simul. 21, No. 3, 993-1011 (2023). MSC: 35Q55 65N15 65N25 65N30 82C10 PDFBibTeX XMLCite \textit{P. Henning} and \textit{A. Persson}, Multiscale Model. Simul. 21, No. 3, 993--1011 (2023; Zbl 1519.35292) Full Text: DOI arXiv
Henning, Patrick The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem. (English) Zbl 1517.65103 Math. Models Methods Appl. Sci. 33, No. 7, 1517-1544 (2023). MSC: 65N25 35Q55 65N12 65N30 81Q05 PDFBibTeX XMLCite \textit{P. Henning}, Math. Models Methods Appl. Sci. 33, No. 7, 1517--1544 (2023; Zbl 1517.65103) Full Text: DOI arXiv
de Souza Campos, Lissa; Dappiaggi, Claudio; Sinibaldi, Luca Hidden freedom in the mode expansion on static spacetimes. (English) Zbl 1528.83134 Gen. Relativ. Gravitation 55, No. 3, Paper No. 50, 26 p. (2023). MSC: 83F05 70C20 35P15 35G15 81Q05 46B04 51B20 PDFBibTeX XMLCite \textit{L. de Souza Campos} et al., Gen. Relativ. Gravitation 55, No. 3, Paper No. 50, 26 p. (2023; Zbl 1528.83134) Full Text: DOI arXiv
Colorado, Eduardo; López-Soriano, Rafael; Ortega, Alejandro Bound and ground states of coupled “NLS-KdV” equations with Hardy potential and critical power. (English) Zbl 1518.35294 J. Differ. Equations 365, 560-590 (2023). MSC: 35J47 35Q55 35A01 35A15 PDFBibTeX XMLCite \textit{E. Colorado} et al., J. Differ. Equations 365, 560--590 (2023; Zbl 1518.35294) Full Text: DOI arXiv
Akahori, Takafumi; Murata, Miho Nondegeneracy of ground states for nonlinear scalar field equations involving the Sobolev-critical exponent at high frequencies in three and four dimensions. (English) Zbl 1518.35383 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 232, Article ID 113285, 32 p. (2023). MSC: 35J91 35J15 35B33 PDFBibTeX XMLCite \textit{T. Akahori} and \textit{M. Murata}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 232, Article ID 113285, 32 p. (2023; Zbl 1518.35383) Full Text: DOI arXiv
Ardila, Alex H.; Hajaiej, Hichem Global well-posedness, blow-up and stability of standing waves for supercritical NLS with rotation. (English) Zbl 1515.35238 J. Dyn. Differ. Equations 35, No. 2, 1643-1665 (2023). MSC: 35Q55 35Q41 35B44 37K45 35P25 35B35 35A01 35A02 PDFBibTeX XMLCite \textit{A. H. Ardila} and \textit{H. Hajaiej}, J. Dyn. Differ. Equations 35, No. 2, 1643--1665 (2023; Zbl 1515.35238) Full Text: DOI arXiv
Boni, Filippo; Carlone, Raffaele NLS ground states on the half-line with point interactions. (English) Zbl 1518.35564 NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 4, Paper No. 51, 23 p. (2023). Reviewer: Konstantin Merz (Braunschweig) MSC: 35Q40 35Q55 35B07 35B09 35C08 35R99 49J40 49N15 35A01 35A02 PDFBibTeX XMLCite \textit{F. Boni} and \textit{R. Carlone}, NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 4, Paper No. 51, 23 p. (2023; Zbl 1518.35564) Full Text: DOI arXiv
Bai, Qianqian; Li, Xiaoguang; Zhang, Jian Blow-up criteria for coupled nonlinear Schrödinger equations. (English) Zbl 1509.35274 Appl. Anal. 102, No. 3, 830-838 (2023). MSC: 35Q55 35B44 PDFBibTeX XMLCite \textit{Q. Bai} et al., Appl. Anal. 102, No. 3, 830--838 (2023; Zbl 1509.35274) Full Text: DOI
Ma, Shiwang; Moroz, Vitaly Asymptotic profiles for a nonlinear Schrödinger equation with critical combined powers nonlinearity. (English) Zbl 1517.35115 Math. Z. 304, No. 1, Paper No. 13, 26 p. (2023). Reviewer: Tobias König (Frankfurt am Main) MSC: 35J91 35Q55 35B40 PDFBibTeX XMLCite \textit{S. Ma} and \textit{V. Moroz}, Math. Z. 304, No. 1, Paper No. 13, 26 p. (2023; Zbl 1517.35115) Full Text: DOI arXiv
Zhang, Luyu; Zhang, Chengxiang The asymptotic behaviors of normalized ground states for nonlinear Schrödinger equations. (English) Zbl 1512.35211 NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 3, Paper No. 44, 12 p. (2023). MSC: 35J20 35J60 35Q55 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{C. Zhang}, NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 3, Paper No. 44, 12 p. (2023; Zbl 1512.35211) Full Text: DOI
Pomponio, Alessio; Shen, Liejun; Zeng, Xiaoyu; Zhang, Yimin Generalized Chern-Simons-Schrödinger system with sign-changing steep potential well: critical and subcritical exponential case. (English) Zbl 1514.35166 J. Geom. Anal. 33, No. 6, Paper No. 185, 34 p. (2023). MSC: 35J47 35J61 35Q55 35A01 35A15 PDFBibTeX XMLCite \textit{A. Pomponio} et al., J. Geom. Anal. 33, No. 6, Paper No. 185, 34 p. (2023; Zbl 1514.35166) Full Text: DOI
Guo, Yujin; Luo, Yong; Peng, Shuangjie Existence and asymptotic behavior of ground states for rotating Bose-Einstein condensates. (English) Zbl 1512.35201 SIAM J. Math. Anal. 55, No. 2, 773-804 (2023). MSC: 35J20 35J60 35Q40 35A01 PDFBibTeX XMLCite \textit{Y. Guo} et al., SIAM J. Math. Anal. 55, No. 2, 773--804 (2023; Zbl 1512.35201) Full Text: DOI arXiv
Gao, Yongshuai; Luo, Yong Mass concentration and uniqueness of ground states for mass subcritical rotational nonlinear Schrödinger equations. (English) Zbl 1512.35186 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 230, Article ID 113246, 26 p. (2023). MSC: 35J10 35J61 35A01 35J20 PDFBibTeX XMLCite \textit{Y. Gao} and \textit{Y. Luo}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 230, Article ID 113246, 26 p. (2023; Zbl 1512.35186) Full Text: DOI arXiv
Goudon, Thierry; Vivion, Léo On quantum dissipative systems: ground states and orbital stability. (Sur les systèmes quantiques dissipatifs: états fondamentaux et stabilité orbitale.) (English. French summary) Zbl 1522.35425 J. Éc. Polytech., Math. 10, 447-511 (2023). MSC: 35Q40 35Q51 35Q55 35Q41 35A01 35B35 35B20 81S22 PDFBibTeX XMLCite \textit{T. Goudon} and \textit{L. Vivion}, J. Éc. Polytech., Math. 10, 447--511 (2023; Zbl 1522.35425) Full Text: DOI
Guo, Yujin The nonexistence of vortices for rotating Bose-Einstein condensates in non-radially symmetric traps. (English. French summary) Zbl 1506.35075 J. Math. Pures Appl. (9) 170, 1-32 (2023). MSC: 35J60 35C20 35A15 PDFBibTeX XMLCite \textit{Y. Guo}, J. Math. Pures Appl. (9) 170, 1--32 (2023; Zbl 1506.35075) Full Text: DOI arXiv
Kang, Jin-Cai; Liu, Xiao-Qi; Tang, Chun-Lei Ground state sign-changing solutions for critical Schrödinger-Poisson system with steep potential well. (English) Zbl 1506.35061 J. Geom. Anal. 33, No. 2, Paper No. 59, 24 p. (2023). MSC: 35J47 35J61 35A01 PDFBibTeX XMLCite \textit{J.-C. Kang} et al., J. Geom. Anal. 33, No. 2, Paper No. 59, 24 p. (2023; Zbl 1506.35061) Full Text: DOI
Bartsch, Thomas; Li, Houwang; Zou, Wenming Existence and asymptotic behavior of normalized ground states for Sobolev critical Schrödinger systems. (English) Zbl 1519.35107 Calc. Var. Partial Differ. Equ. 62, No. 1, Paper No. 9, 34 p. (2023). Reviewer: Massimo Lanza de Cristoforis (Padova) MSC: 35J47 35J61 35A01 35A15 PDFBibTeX XMLCite \textit{T. Bartsch} et al., Calc. Var. Partial Differ. Equ. 62, No. 1, Paper No. 9, 34 p. (2023; Zbl 1519.35107) Full Text: DOI arXiv
Cingolani, Silvia; Gallo, Marco On some qualitative aspects for doubly nonlocal equations. (English) Zbl 1518.35623 Discrete Contin. Dyn. Syst., Ser. S 15, No. 12, 3603-3620 (2022). MSC: 35R11 35B06 35B09 35B38 35B65 35J61 35Q40 35R09 45M20 PDFBibTeX XMLCite \textit{S. Cingolani} and \textit{M. Gallo}, Discrete Contin. Dyn. Syst., Ser. S 15, No. 12, 3603--3620 (2022; Zbl 1518.35623) Full Text: DOI
Cao, Daomin; Feng, Binhua; Luo, Tingjian On the standing waves for the X-ray free electron laser Schrödinger equation. (English) Zbl 1505.35178 Discrete Contin. Dyn. Syst. 42, No. 12, 6097-6137 (2022). MSC: 35J61 35Q55 35A15 PDFBibTeX XMLCite \textit{D. Cao} et al., Discrete Contin. Dyn. Syst. 42, No. 12, 6097--6137 (2022; Zbl 1505.35178) Full Text: DOI arXiv
Bugiera, Lars; Lenzmann, Enno; Sok, Jérémy On symmetry and uniqueness of ground states for linear and nonlinear elliptic PDEs. (English) Zbl 1507.35249 SIAM J. Math. Anal. 54, No. 6, 6119-6135 (2022). Reviewer: Xiaoming He (Beijing) MSC: 35Q55 35J60 35B06 35B50 35A01 35A02 PDFBibTeX XMLCite \textit{L. Bugiera} et al., SIAM J. Math. Anal. 54, No. 6, 6119--6135 (2022; Zbl 1507.35249) Full Text: DOI arXiv
Chen, Peng; Chen, Huimao; Tang, Xianhua Ground states of \(K\)-component coupled nonlinear Schrödinger equations with inverse-square potential. (English) Zbl 1501.35166 Chin. Ann. Math., Ser. B 43, No. 3, 319-342 (2022). MSC: 35J47 35J10 35J61 35A01 PDFBibTeX XMLCite \textit{P. Chen} et al., Chin. Ann. Math., Ser. B 43, No. 3, 319--342 (2022; Zbl 1501.35166) Full Text: DOI
Chen, Peng; Tang, Xianhua Ground states for a system of nonlinear Schrödinger equations with singular potentials. (English) Zbl 1506.37091 Discrete Contin. Dyn. Syst. 42, No. 10, 5105-5136 (2022). Reviewer: Ayman Kachmar (Nabaṭiyya) MSC: 37K40 35C07 37K15 35Q55 PDFBibTeX XMLCite \textit{P. Chen} and \textit{X. Tang}, Discrete Contin. Dyn. Syst. 42, No. 10, 5105--5136 (2022; Zbl 1506.37091) Full Text: DOI
Bungert, Leon; Burger, Martin Gradient flows and nonlinear power methods for the computation of nonlinear eigenfunctions. (English) Zbl 1496.35067 Trélat, Emmanuel (ed.) et al., Numerical control. Part A. Amsterdam: Elsevier/North Holland. Handb. Numer. Anal. 23, 427-465 (2022). MSC: 35B40 35P30 47J10 49J45 PDFBibTeX XMLCite \textit{L. Bungert} and \textit{M. Burger}, Handb. Numer. Anal. 23, 427--465 (2022; Zbl 1496.35067) Full Text: arXiv Link
Wang, Qingxuan; Feng, Binhua On a parameter-stability for normalized ground states of two-dimensional cubic-quintic nonlinear Schrödinger equations. (English) Zbl 1497.35443 Z. Angew. Math. Phys. 73, No. 5, Paper No. 179, 17 p. (2022). MSC: 35Q55 35Q41 35B35 35B44 35C08 35A23 PDFBibTeX XMLCite \textit{Q. Wang} and \textit{B. Feng}, Z. Angew. Math. Phys. 73, No. 5, Paper No. 179, 17 p. (2022; Zbl 1497.35443) Full Text: DOI
Akahori, Takafumi; Ibrahim, Slim; Kikuchi, Hiroaki; Nawa, Hayato Non-existence of ground states and gap of variational values for \(3D\) Sobolev critical nonlinear scalar field equations. (English) Zbl 1497.35252 J. Differ. Equations 334, 25-86 (2022). MSC: 35J91 35J15 35J20 35A01 PDFBibTeX XMLCite \textit{T. Akahori} et al., J. Differ. Equations 334, 25--86 (2022; Zbl 1497.35252) Full Text: DOI arXiv
Zhang, Wen; Zhang, Jian Multiplicity and concentration of positive solutions for fractional unbalanced double-phase problems. (English) Zbl 1494.35174 J. Geom. Anal. 32, No. 9, Paper No. 235, 48 p. (2022). MSC: 35R11 35A15 35B25 35J92 47J30 58E05 PDFBibTeX XMLCite \textit{W. Zhang} and \textit{J. Zhang}, J. Geom. Anal. 32, No. 9, Paper No. 235, 48 p. (2022; Zbl 1494.35174) Full Text: DOI
Boni, Filippo; Dovetta, Simone Doubly nonlinear Schrödinger ground states on metric graphs. (English) Zbl 1492.35400 Nonlinearity 35, No. 7, 3283-3323 (2022). MSC: 35R02 35J20 35Q40 35Q55 81Q35 49J40 PDFBibTeX XMLCite \textit{F. Boni} and \textit{S. Dovetta}, Nonlinearity 35, No. 7, 3283--3323 (2022; Zbl 1492.35400) Full Text: DOI arXiv
Carles, Rémi; Su, Chunmei Nonuniqueness and nonlinear instability of Gaussons under repulsive harmonic potential. (English) Zbl 1490.35398 Commun. Partial Differ. Equations 47, No. 6, 1176-1192 (2022). MSC: 35Q55 35Q41 35B35 35C08 37K40 PDFBibTeX XMLCite \textit{R. Carles} and \textit{C. Su}, Commun. Partial Differ. Equations 47, No. 6, 1176--1192 (2022; Zbl 1490.35398) Full Text: DOI arXiv
Besse, Christophe; Duboscq, Romain; Le Coz, Stefan Numerical simulations on nonlinear quantum graphs with the GraFiDi library. (English) Zbl 07525072 SMAI J. Comput. Math. 8, 1-47 (2022). MSC: 65-XX 35R02 65N06 35Q55 PDFBibTeX XMLCite \textit{C. Besse} et al., SMAI J. Comput. Math. 8, 1--47 (2022; Zbl 07525072) Full Text: DOI arXiv
Besse, Christophe; Duboscq, Romain; Le Coz, Stefan Gradient flow approach to the calculation of stationary states on nonlinear quantum graphs. (Une approche flot gradient pour le calcul des états stationnaires sur des graphes quantiques non linéaires.) (English. French summary) Zbl 1490.35393 Ann. Henri Lebesgue 5, 387-428 (2022). MSC: 35Q55 35Q41 35R02 35A01 35A02 65M06 65N06 PDFBibTeX XMLCite \textit{C. Besse} et al., Ann. Henri Lebesgue 5, 387--428 (2022; Zbl 1490.35393) Full Text: DOI arXiv
Luo, Yong; Zhang, Shu Concentration behavior of ground states for \( L^2\)-critical Schrödinger equation with a spatially decaying nonlinearity. (English) Zbl 1491.35363 Commun. Pure Appl. Anal. 21, No. 4, 1481-1504 (2022). MSC: 35Q40 35Q55 46N50 35J20 49M41 PDFBibTeX XMLCite \textit{Y. Luo} and \textit{S. Zhang}, Commun. Pure Appl. Anal. 21, No. 4, 1481--1504 (2022; Zbl 1491.35363) Full Text: DOI arXiv
Wang, Qingxuan; Feng, Binhua; Li, Yuan; Shi, Qihong On asymptotic properties of semi-relativistic Hartree equation with combined Hartree-type nonlinearities. (English) Zbl 1487.35094 Commun. Pure Appl. Anal. 21, No. 4, 1225-1247 (2022). MSC: 35B40 35J20 35Q55 35S10 PDFBibTeX XMLCite \textit{Q. Wang} et al., Commun. Pure Appl. Anal. 21, No. 4, 1225--1247 (2022; Zbl 1487.35094) Full Text: DOI
Duan, Xueliang; Wei, Gongming; Yang, Haitao Ground states for a fractional Schrödinger-Poisson system involving Hardy potentials. (English) Zbl 1489.35085 Appl. Anal. 101, No. 4, 1225-1242 (2022). MSC: 35J60 35R11 35A01 35J50 PDFBibTeX XMLCite \textit{X. Duan} et al., Appl. Anal. 101, No. 4, 1225--1242 (2022; Zbl 1489.35085) Full Text: DOI
Adami, Riccardo; Boni, Filippo; Dovetta, Simone Competing nonlinearities in NLS equations as source of threshold phenomena on star graphs. (English) Zbl 1486.35400 J. Funct. Anal. 283, No. 1, Article ID 109483, 34 p. (2022). MSC: 35R02 35B35 35J20 35Q40 35Q55 81Q35 49J40 PDFBibTeX XMLCite \textit{R. Adami} et al., J. Funct. Anal. 283, No. 1, Article ID 109483, 34 p. (2022; Zbl 1486.35400) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{D. Qin} et al., J. Geom. Anal. 32, No. 5, Paper No. 158, 44 p. (2022; Zbl 1485.35345) Full Text: DOI
Pierotti, Dario; Soave, Nicola Ground states for the NLS equation with combined nonlinearities on noncompact metric graphs. (English) Zbl 1483.35308 SIAM J. Math. Anal. 54, No. 1, 768-790 (2022). MSC: 35R02 35J20 35Q55 81Q35 49J40 PDFBibTeX XMLCite \textit{D. Pierotti} and \textit{N. Soave}, SIAM J. Math. Anal. 54, No. 1, 768--790 (2022; Zbl 1483.35308) Full Text: DOI arXiv
Liu, Senli; Chen, Haibo Ground state solutions for nonlinear Choquard equation with singular potential and critical exponents. (English) Zbl 1480.35223 J. Math. Anal. Appl. 507, No. 2, Article ID 125799, 30 p. (2022). MSC: 35J62 35B33 35A01 35J20 PDFBibTeX XMLCite \textit{S. Liu} and \textit{H. Chen}, J. Math. Anal. Appl. 507, No. 2, Article ID 125799, 30 p. (2022; Zbl 1480.35223) Full Text: DOI
Yang, Xianyong; Miao, Qing Asymptotic behavior of ground states for a fractional Choquard equation with critical growth. (English) Zbl 1525.35237 AIMS Math. 6, No. 4, 3838-3856 (2021). MSC: 35R11 35A15 35Q55 35S15 PDFBibTeX XMLCite \textit{X. Yang} and \textit{Q. Miao}, AIMS Math. 6, No. 4, 3838--3856 (2021; Zbl 1525.35237) Full Text: DOI
Ardila, Alex H.; Carles, Rémi Global dynamics below the ground states for NLS under partial harmonic confinement. (English) Zbl 1475.35309 Commun. Math. Sci. 19, No. 4, 993-1032 (2021). MSC: 35Q55 35P25 37K45 PDFBibTeX XMLCite \textit{A. H. Ardila} and \textit{R. Carles}, Commun. Math. Sci. 19, No. 4, 993--1032 (2021; Zbl 1475.35309) Full Text: DOI arXiv
Dinh, Van Duong On the instability of standing waves for the nonlinear Schrödinger equation with inverse-square potential. (English) Zbl 1479.35773 Complex Var. Elliptic Equ. 66, No. 10, 1699-1716 (2021). MSC: 35Q55 35Q41 35B35 35B10 33C10 PDFBibTeX XMLCite \textit{V. D. Dinh}, Complex Var. Elliptic Equ. 66, No. 10, 1699--1716 (2021; Zbl 1479.35773) Full Text: DOI
Li, Jiaojiao; Ma, Li Extremals to new Gagliardo-Nirenberg inequality and ground states. (English) Zbl 1475.35010 Appl. Math. Lett. 120, Article ID 107266, 8 p. (2021). MSC: 35A23 35Q55 35R11 PDFBibTeX XMLCite \textit{J. Li} and \textit{L. Ma}, Appl. Math. Lett. 120, Article ID 107266, 8 p. (2021; Zbl 1475.35010) Full Text: DOI
Guo, Zhenyu; Luo, Senping; Zou, Wenming On a critical Schrödinger system involving Hardy terms. (English) Zbl 1473.35197 J. Fixed Point Theory Appl. 23, No. 4, Paper No. 53, 38 p. (2021). MSC: 35J47 35J91 35B33 35A01 35A02 35A15 PDFBibTeX XMLCite \textit{Z. Guo} et al., J. Fixed Point Theory Appl. 23, No. 4, Paper No. 53, 38 p. (2021; Zbl 1473.35197) Full Text: DOI
Kong, Yuzhen; Wang, Qingxuan; Zhao, Dun Mass concentration and asymptotic uniqueness of ground state for 3-component BEC with external potential in \(\mathbb{R}^2\). (English) Zbl 1473.35213 Adv. Nonlinear Stud. 21, No. 3, 593-632 (2021). MSC: 35J50 35Q40 35Q55 PDFBibTeX XMLCite \textit{Y. Kong} et al., Adv. Nonlinear Stud. 21, No. 3, 593--632 (2021; Zbl 1473.35213) Full Text: DOI
Oliveira, Filipe; Pastor, Ademir On a Schrödinger system arizing in nonlinear optics. (English) Zbl 1479.35844 Anal. Math. Phys. 11, No. 3, Paper No. 123, 38 p. (2021). MSC: 35Q60 35Q41 35Q55 35Q51 35C07 35B44 35B35 35A01 35A02 78A60 PDFBibTeX XMLCite \textit{F. Oliveira} and \textit{A. Pastor}, Anal. Math. Phys. 11, No. 3, Paper No. 123, 38 p. (2021; Zbl 1479.35844) Full Text: DOI arXiv
Li, Xinfu Existence of normalized ground states for the Sobolev critical Schrödinger equation with combined nonlinearities. (English) Zbl 1473.35297 Calc. Var. Partial Differ. Equ. 60, No. 5, Paper No. 169, 14 p. (2021). MSC: 35J91 35Q55 35A01 PDFBibTeX XMLCite \textit{X. Li}, Calc. Var. Partial Differ. Equ. 60, No. 5, Paper No. 169, 14 p. (2021; Zbl 1473.35297) Full Text: DOI
Klein, Christian; Nodari, Simona Rota On a nonlinear Schrödinger equation for nucleons in one space dimension. (English) Zbl 1476.35241 ESAIM, Math. Model. Numer. Anal. 55, No. 2, 409-427 (2021). MSC: 35Q55 35C08 65M70 81V35 PDFBibTeX XMLCite \textit{C. Klein} and \textit{S. R. Nodari}, ESAIM, Math. Model. Numer. Anal. 55, No. 2, 409--427 (2021; Zbl 1476.35241) Full Text: DOI arXiv
Luo, Yongming; Stylianou, Athanasios On 3d dipolar Bose-Einstein condensates involving quantum fluctuations and three-body interactions. (English) Zbl 1471.35259 Discrete Contin. Dyn. Syst., Ser. B 26, No. 6, 3455-3477 (2021). MSC: 35Q55 49J35 35B09 35A01 35A02 PDFBibTeX XMLCite \textit{Y. Luo} and \textit{A. Stylianou}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 6, 3455--3477 (2021; Zbl 1471.35259) Full Text: DOI arXiv
Bizon, Piotr; Ficek, Filip; Pelinovsky, Dmitry E.; Sobieszek, Szymon Ground state in the energy super-critical Gross-Pitaevskii equation with a harmonic potential. (English) Zbl 1470.35322 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 210, Article ID 112358, 36 p. (2021). MSC: 35Q55 35Q41 35B40 35B09 35B06 65L10 PDFBibTeX XMLCite \textit{P. Bizon} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 210, Article ID 112358, 36 p. (2021; Zbl 1470.35322) Full Text: DOI arXiv
Stanislavova, Milena; Stefanov, Atanas G. Ground states for the nonlinear Schrödinger equation under a general trapping potential. (English) Zbl 1464.35331 J. Evol. Equ. 21, No. 1, 671-697 (2021). MSC: 35Q55 35B35 35C08 35A15 35Q40 35B05 35B09 35R11 PDFBibTeX XMLCite \textit{M. Stanislavova} and \textit{A. G. Stefanov}, J. Evol. Equ. 21, No. 1, 671--697 (2021; Zbl 1464.35331) Full Text: DOI arXiv
Bieganowski, Bartosz; Mederski, Jarosław Normalized ground states of the nonlinear Schrödinger equation with at least mass critical growth. (English) Zbl 1465.35151 J. Funct. Anal. 280, No. 11, Article ID 108989, 26 p. (2021). MSC: 35J20 35J91 35Q55 PDFBibTeX XMLCite \textit{B. Bieganowski} and \textit{J. Mederski}, J. Funct. Anal. 280, No. 11, Article ID 108989, 26 p. (2021; Zbl 1465.35151) Full Text: DOI arXiv
Noguera, Norman; Pastor, Ademir A system of Schrödinger equations with general quadratic-type nonlinearities. (English) Zbl 1462.35364 Commun. Contemp. Math. 23, No. 4, Article ID 2050023, 66 p. (2021). MSC: 35Q55 35A01 35B44 35J50 35B35 35A15 PDFBibTeX XMLCite \textit{N. Noguera} and \textit{A. Pastor}, Commun. Contemp. Math. 23, No. 4, Article ID 2050023, 66 p. (2021; Zbl 1462.35364) Full Text: DOI arXiv
Fukaya, Noriyoshi Uniqueness and nondegeneracy of ground states for nonlinear Schrödinger equations with attractive inverse-power potential. (English) Zbl 1464.35071 Commun. Pure Appl. Anal. 20, No. 1, 121-143 (2021). MSC: 35J10 35Q55 35A02 PDFBibTeX XMLCite \textit{N. Fukaya}, Commun. Pure Appl. Anal. 20, No. 1, 121--143 (2021; Zbl 1464.35071) Full Text: DOI arXiv
Boni, Filippo; Dovetta, Simone Prescribed mass ground states for a doubly nonlinear Schrödinger equation in dimension one. (English) Zbl 1458.81017 J. Math. Anal. Appl. 496, No. 1, Article ID 124797, 17 p. (2021). MSC: 81Q05 35Q55 34L40 35G55 35P30 35A01 35A02 35B38 PDFBibTeX XMLCite \textit{F. Boni} and \textit{S. Dovetta}, J. Math. Anal. Appl. 496, No. 1, Article ID 124797, 17 p. (2021; Zbl 1458.81017) Full Text: DOI arXiv
Dinh, Van Duong Strong instability of standing waves for a system NLS with quadratic interaction. (English) Zbl 1499.35554 Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 2, 515-528 (2020). MSC: 35Q55 35B35 35B44 81Q80 PDFBibTeX XMLCite \textit{V. D. Dinh}, Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 2, 515--528 (2020; Zbl 1499.35554) 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
Posukhovskyi, Iurii; Stefanov, Atanas On the ground states of the Ostrovskyi equation and their stability. (English) Zbl 1451.78040 Stud. Appl. Math. 144, No. 4, 548-575 (2020). MSC: 78A60 76B15 76U05 35C07 35B35 35Q60 35Q35 35Q53 PDFBibTeX XMLCite \textit{I. Posukhovskyi} and \textit{A. Stefanov}, Stud. Appl. Math. 144, No. 4, 548--575 (2020; Zbl 1451.78040) Full Text: DOI arXiv
Chen, Ruipeng; Liu, Jiayin Asymptotic behavior of normalized ground states for the fractional Schrödinger equation with combined \(L^2\)-critical and \(L^2\)-subcritical nonlinearities. (English) Zbl 1446.35180 Math. Methods Appl. Sci. 43, No. 7, 4627-4639 (2020). MSC: 35Q55 35B40 35A01 35R11 26A33 PDFBibTeX XMLCite \textit{R. Chen} and \textit{J. Liu}, Math. Methods Appl. Sci. 43, No. 7, 4627--4639 (2020; Zbl 1446.35180) Full Text: DOI
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 PDFBibTeX XMLCite \textit{B. Feng} et al., J. Dyn. Differ. Equations 32, No. 3, 1357--1370 (2020; Zbl 1445.35133) Full Text: DOI
Soave, Nicola Normalized ground states for the NLS equation with combined nonlinearities. (English) Zbl 1440.35312 J. Differ. Equations 269, No. 9, 6941-6987 (2020). MSC: 35Q55 35J20 35B44 35A01 35B35 PDFBibTeX XMLCite \textit{N. Soave}, J. Differ. Equations 269, No. 9, 6941--6987 (2020; Zbl 1440.35312) Full Text: DOI arXiv
Henning, Patrick; Peterseim, Daniel Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem: global convergence and computational efficiency. (English) Zbl 1512.35538 SIAM J. Numer. Anal. 58, No. 3, 1744-1772 (2020). MSC: 35Q55 65N12 65N25 65N30 81Q05 35P30 82B10 PDFBibTeX XMLCite \textit{P. Henning} and \textit{D. Peterseim}, SIAM J. Numer. Anal. 58, No. 3, 1744--1772 (2020; Zbl 1512.35538) Full Text: DOI arXiv
Soave, Nicola Normalized ground states for the NLS equation with combined nonlinearities: the Sobolev critical case. (English) Zbl 1440.35311 J. Funct. Anal. 279, No. 6, Article ID 108610, 42 p. (2020). MSC: 35Q55 35J20 35J60 PDFBibTeX XMLCite \textit{N. Soave}, J. Funct. Anal. 279, No. 6, Article ID 108610, 42 p. (2020; Zbl 1440.35311) Full Text: DOI arXiv
Posukhovskyi, Iurii; Stefanov, Atanas G. On the normalized ground states for the Kawahara equation and a fourth order NLS. (English) Zbl 1435.35357 Discrete Contin. Dyn. Syst. 40, No. 7, 4131-4162 (2020). MSC: 35Q55 35Q51 35G16 PDFBibTeX XMLCite \textit{I. Posukhovskyi} and \textit{A. G. Stefanov}, Discrete Contin. Dyn. Syst. 40, No. 7, 4131--4162 (2020; Zbl 1435.35357) Full Text: DOI arXiv
Ardila, Alex H.; Dinh, Van Duong Some qualitative studies of the focusing inhomogeneous Gross-Pitaevskii equation. (English) Zbl 1437.35615 Z. Angew. Math. Phys. 71, No. 3, Paper No. 79, 24 p. (2020). MSC: 35Q55 35A01 35A15 35B44 35B35 PDFBibTeX XMLCite \textit{A. H. Ardila} and \textit{V. D. Dinh}, Z. Angew. Math. Phys. 71, No. 3, Paper No. 79, 24 p. (2020; Zbl 1437.35615) Full Text: DOI arXiv
Ma, Li; Zhang, Kaiqiang Ground states of a nonlinear drifting Schrödinger equation. (English) Zbl 1437.35636 Appl. Math. Lett. 105, Article ID 106324, 5 p. (2020). MSC: 35Q55 35Q41 35A15 35A01 35P30 PDFBibTeX XMLCite \textit{L. Ma} and \textit{K. Zhang}, Appl. Math. Lett. 105, Article ID 106324, 5 p. (2020; Zbl 1437.35636) Full Text: DOI
Mederski, Jarosław; Schino, Jacopo; Szulkin, Andrzej Multiple solutions to a nonlinear curl-curl problem in \({\mathbb{R}}^3\). (English) Zbl 1436.35108 Arch. Ration. Mech. Anal. 236, No. 1, 253-288 (2020). Reviewer: Eric Stachura (Marietta) MSC: 35J15 35J10 35Q61 PDFBibTeX XMLCite \textit{J. Mederski} et al., Arch. Ration. Mech. Anal. 236, No. 1, 253--288 (2020; Zbl 1436.35108) Full Text: DOI arXiv
Borrelli, William; Frank, Rupert L. Sharp decay estimates for critical Dirac equations. (English) Zbl 1435.35053 Trans. Am. Math. Soc. 373, No. 3, 2045-2070 (2020). MSC: 35B40 35B45 35J60 35Q40 58J05 35R01 PDFBibTeX XMLCite \textit{W. Borrelli} and \textit{R. L. Frank}, Trans. Am. Math. Soc. 373, No. 3, 2045--2070 (2020; Zbl 1435.35053) Full Text: DOI arXiv
Noguera, Norman; Pastor, Ademir On the dynamics of a quadratic Schrödinger system in dimension \(n = 5\). (English) Zbl 1439.35444 Dyn. Partial Differ. Equ. 17, No. 1, 1-17 (2020). MSC: 35Q55 35A01 35A02 35B44 35J47 PDFBibTeX XMLCite \textit{N. Noguera} and \textit{A. Pastor}, Dyn. Partial Differ. Equ. 17, No. 1, 1--17 (2020; Zbl 1439.35444) 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 PDFBibTeX XMLCite \textit{L.-F. Yin} et al., Appl. Math. Comput. 374, Article ID 125035, 12 p. (2020; Zbl 1433.35064) Full Text: DOI
Dinh, Van Duong Existence, stability of standing waves and the characterization of finite time blow-up solutions for a system NLS with quadratic interaction. (English) Zbl 1433.35359 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 190, Article ID 111589, 39 p. (2020). MSC: 35Q55 35B35 35B44 35A01 35B34 PDFBibTeX XMLCite \textit{V. D. Dinh}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 190, Article ID 111589, 39 p. (2020; Zbl 1433.35359) Full Text: DOI arXiv
Jin, Hua; Liu, Wenbin; Zhang, Huixing; Zhang, Jianjun Ground states of nonlinear fractional Choquard equations with Hardy-Littlewood-Sobolev critical growth. (English) Zbl 1430.35088 Commun. Pure Appl. Anal. 19, No. 1, 123-144 (2020). MSC: 35J60 35R11 35B33 PDFBibTeX XMLCite \textit{H. Jin} et al., Commun. Pure Appl. Anal. 19, No. 1, 123--144 (2020; Zbl 1430.35088) Full Text: DOI
Corcho, Adán J.; Correia, Simão; Oliveira, Filipe; Silva, Jorge D. On a nonlinear Schrödinger system arising in quadratic media. (English) Zbl 1428.35498 Commun. Math. Sci. 17, No. 4, 969-987 (2019). MSC: 35Q55 35C08 35Q60 35B44 35B35 78A40 78A60 PDFBibTeX XMLCite \textit{A. J. Corcho} et al., Commun. Math. Sci. 17, No. 4, 969--987 (2019; Zbl 1428.35498) Full Text: DOI arXiv
You, Song; Zhao, Peihao; Wang, Qingxuan Positive ground states for coupled nonlinear Choquard equations involving Hardy-Littlewood-Sobolev critical exponent. (English) Zbl 1428.35543 Nonlinear Anal., Real World Appl. 48, 182-211 (2019). MSC: 35Q55 35B33 35B09 35B40 35A15 PDFBibTeX XMLCite \textit{S. You} et al., Nonlinear Anal., Real World Appl. 48, 182--211 (2019; Zbl 1428.35543) Full Text: DOI
Shang, Xudong; Zhang, Jihui Existence and concentration of ground states of fractional nonlinear Schrödinger equations with potentials vanishing at infinity. (English) Zbl 1422.35174 Commun. Contemp. Math. 21, No. 6, Article ID 1850048, 24 p. (2019). MSC: 35R11 35A15 35B09 PDFBibTeX XMLCite \textit{X. Shang} and \textit{J. Zhang}, Commun. Contemp. Math. 21, No. 6, Article ID 1850048, 24 p. (2019; Zbl 1422.35174) Full Text: DOI
Borrelli, William; Carlone, Raffaele; Tentarelli, Lorenzo An overview on the standing waves of nonlinear Schrödinger and Dirac equations on metric graphs with localized nonlinearity. (English) Zbl 1416.35287 Symmetry 11, No. 2, Paper No. 169, 22 p. (2019). MSC: 35R02 35Q55 81Q35 35Q40 49J40 49J35 58E05 46T05 PDFBibTeX XMLCite \textit{W. Borrelli} et al., Symmetry 11, No. 2, Paper No. 169, 22 p. (2019; Zbl 1416.35287) Full Text: DOI arXiv
Dovetta, Simone; Tentarelli, Lorenzo \(L^2\)-critical NLS on noncompact metric graphs with localized nonlinearity: topological and metric features. (English) Zbl 1432.35212 Calc. Var. Partial Differ. Equ. 58, No. 3, Paper No. 108, 26 p. (2019). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 35R02 35Q55 81Q35 35Q40 49J40 PDFBibTeX XMLCite \textit{S. Dovetta} and \textit{L. Tentarelli}, Calc. Var. Partial Differ. Equ. 58, No. 3, Paper No. 108, 26 p. (2019; Zbl 1432.35212) Full Text: DOI arXiv
Feng, Xiaojing Ground state solutions for Schrödinger-Poisson systems involving the fractional Laplacian with critical exponent. (English) Zbl 1419.35034 J. Math. Phys. 60, No. 5, 051511, 12 p. (2019). MSC: 35J60 35J50 35R11 35A15 PDFBibTeX XMLCite \textit{X. Feng}, J. Math. Phys. 60, No. 5, 051511, 12 p. (2019; Zbl 1419.35034) Full Text: DOI
Li, Jiaojiao; Ma, Li Global solutions and ground states of a nonlinear Schrödinger equation in matrix geometry. (English) Zbl 1420.58003 Linear Algebra Appl. 573, 1-11 (2019). Reviewer: Albert Sheu (Lawrence) MSC: 58B34 34D05 34L40 35Q55 15A15 PDFBibTeX XMLCite \textit{J. Li} and \textit{L. Ma}, Linear Algebra Appl. 573, 1--11 (2019; Zbl 1420.58003) Full Text: DOI
Zhang, Guoqing; Song, Ningning; Ding, Zhonghai Solitary waves for one-dimensional nematicon equations. (English) Zbl 1416.35256 J. Math. Anal. Appl. 475, No. 1, 686-698 (2019). MSC: 35Q60 78A60 78A40 35C08 35A01 PDFBibTeX XMLCite \textit{G. Zhang} et al., J. Math. Anal. Appl. 475, No. 1, 686--698 (2019; Zbl 1416.35256) Full Text: DOI
Li, Shuai; Zhu, Xincai Mass concentration and local uniqueness of ground states for \(L^2\)-subcritical nonlinear Schrödinger equations. (English) Zbl 1417.35015 Z. Angew. Math. Phys. 70, No. 1, Paper No. 34, 26 p. (2019). Reviewer: Denis Borisov (Ufa) MSC: 35J10 35Q55 PDFBibTeX XMLCite \textit{S. Li} and \textit{X. Zhu}, Z. Angew. Math. Phys. 70, No. 1, Paper No. 34, 26 p. (2019; Zbl 1417.35015) Full Text: DOI arXiv
Zhang, Hui; Wang, Jun; Zhang, Fubao Semiclassical states for fractional Choquard equations with critical growth. (English) Zbl 1401.35091 Commun. Pure Appl. Anal. 18, No. 1, 519-538 (2019). MSC: 35J60 35B33 35R11 35A15 PDFBibTeX XMLCite \textit{H. Zhang} et al., Commun. Pure Appl. Anal. 18, No. 1, 519--538 (2019; Zbl 1401.35091) Full Text: DOI
Lou, Qingjun; Han, Zhiqing Existence of ground states for fractional Kirchhoff equations. (English) Zbl 1438.35145 J. Math. Res. Appl. 38, No. 6, 623-635 (2018). MSC: 35J60 35R11 35A15 PDFBibTeX XMLCite \textit{Q. Lou} and \textit{Z. Han}, J. Math. Res. Appl. 38, No. 6, 623--635 (2018; Zbl 1438.35145) Full Text: DOI