Santos, Carlos Alberto; Silva, Kaye; de Sousa, Steffânio Moreno Multiplicity of solutions to a Schrödinger problem with square diffusion term. (English) Zbl 1526.35176 J. Math. Anal. Appl. 530, No. 2, Article ID 127725, 19 p. (2024). MSC: 35J62 35J25 35A01 PDFBibTeX XMLCite \textit{C. A. Santos} et al., J. Math. Anal. Appl. 530, No. 2, Article ID 127725, 19 p. (2024; Zbl 1526.35176) Full Text: DOI
Cheng, Yongkuan; Shen, Yaotian The eigenvalue problem for a class of quasilinear Schrödinger equations with a parameter. (Chinese. English summary) Zbl 07760906 Chin. Ann. Math., Ser. A 44, No. 2, 113-120 (2023). MSC: 35P30 35J20 35J60 35Q55 PDFBibTeX XMLCite \textit{Y. Cheng} and \textit{Y. Shen}, Chin. Ann. Math., Ser. A 44, No. 2, 113--120 (2023; Zbl 07760906) Full Text: DOI
de Carvalho, Gilson M.; Clemente, Rodrigo G.; de Albuquerque, José Carlos Quasilinear Schrödinger equations with unbounded or decaying potentials in dimension 2. (English) Zbl 1525.35138 Math. Nachr. 296, No. 9, 4357-4373 (2023). MSC: 35J62 35B33 35A01 35A15 PDFBibTeX XMLCite \textit{G. M. de Carvalho} et al., Math. Nachr. 296, No. 9, 4357--4373 (2023; Zbl 1525.35138) Full Text: DOI
Yang, Minbo; Santos, Carlos A.; Ubilla, Pedro; Zhou, Jiazheng On a defocusing quasilinear Schrödinger equation with singular term. (English) Zbl 1514.35131 Discrete Contin. Dyn. Syst. 43, No. 1, 507-536 (2023). MSC: 35J10 35J62 35J75 35A01 PDFBibTeX XMLCite \textit{M. Yang} et al., Discrete Contin. Dyn. Syst. 43, No. 1, 507--536 (2023; Zbl 1514.35131) Full Text: DOI
Jing, Yongtao; Liu, Haidong; Liu, Zhaoli Quasilinear Schrödinger equations involving singular potentials. (English) Zbl 1485.35143 Nonlinearity 35, No. 4, 1810-1856 (2022). MSC: 35J10 35J62 35A01 PDFBibTeX XMLCite \textit{Y. Jing} et al., Nonlinearity 35, No. 4, 1810--1856 (2022; Zbl 1485.35143) Full Text: DOI
Jia, Huifang Concentrating ground state solutions for quasilinear Schrödinger equations with steep potential well. (English) Zbl 1479.35275 Appl. Anal. 100, No. 14, 3065-3082 (2021). MSC: 35J10 35Q55 35A01 35J20 PDFBibTeX XMLCite \textit{H. Jia}, Appl. Anal. 100, No. 14, 3065--3082 (2021; Zbl 1479.35275) Full Text: DOI
Severo, Uberlandio B.; de Carvalho, Gilson M. Quasilinear Schrödinger equations with a positive parameter and involving unbounded or decaying potentials. (English) Zbl 1459.35110 Appl. Anal. 100, No. 2, 229-252 (2021). MSC: 35J10 35J62 35J75 35A01 35J20 PDFBibTeX XMLCite \textit{U. B. Severo} and \textit{G. M. de Carvalho}, Appl. Anal. 100, No. 2, 229--252 (2021; Zbl 1459.35110) Full Text: DOI
Zeng, Xiaoyu; Zhang, Yimin Existence and asymptotic behavior for the ground state of quasilinear elliptic equations. (English) Zbl 1404.35142 Adv. Nonlinear Stud. 18, No. 4, 725-744 (2018). MSC: 35J20 35J60 PDFBibTeX XMLCite \textit{X. Zeng} and \textit{Y. Zhang}, Adv. Nonlinear Stud. 18, No. 4, 725--744 (2018; Zbl 1404.35142) Full Text: DOI arXiv
Wang, Youjun; Li, Zhouxin Existence of solutions to quasilinear Schrödinger equations involving critical Sobolev exponent. (English) Zbl 1401.35050 Taiwanese J. Math. 22, No. 2, 401-420 (2018). MSC: 35J10 35J62 35B09 35J20 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{Z. Li}, Taiwanese J. Math. 22, No. 2, 401--420 (2018; Zbl 1401.35050) Full Text: DOI Euclid
Wang, Youjun; Shen, Yaotian Existence and asymptotic behavior of positive solutions for a class of quasilinear Schrödinger equations. (English) Zbl 1378.35283 Adv. Nonlinear Stud. 18, No. 1, 131-150 (2018). MSC: 35Q55 35B33 35J20 35J60 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{Y. Shen}, Adv. Nonlinear Stud. 18, No. 1, 131--150 (2018; Zbl 1378.35283) Full Text: DOI
Wang, Youjun; Li, Qing Existence and asymptotic profiles of positive solutions of quasilinear Schrödinger equations in \(\mathbb{R}^3\). (English) Zbl 1383.82073 J. Math. Phys. 58, No. 11, 111502, 19 p. (2017). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 82D50 35Q55 81Q15 35A01 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{Q. Li}, J. Math. Phys. 58, No. 11, 111502, 19 p. (2017; Zbl 1383.82073) Full Text: DOI
Severo, Uberlandio B.; Gloss, Elisandra; da Silva, Edcarlos D. On a class of quasilinear Schrödinger equations with superlinear or asymptotically linear terms. (English) Zbl 1378.35097 J. Differ. Equations 263, No. 6, 3550-3580 (2017). Reviewer: Mariana Vega Smit (Essen) MSC: 35J20 35J60 35J62 PDFBibTeX XMLCite \textit{U. B. Severo} et al., J. Differ. Equations 263, No. 6, 3550--3580 (2017; Zbl 1378.35097) Full Text: DOI
Wang, Youjun Solitary solutions for a class of Schrödinger equations in \({\mathbb{R}^3}\). (English) Zbl 1365.35021 Z. Angew. Math. Phys. 67, No. 4, Article ID 88, 17 p. (2016). MSC: 35J20 35J60 35Q55 PDFBibTeX XMLCite \textit{Y. Wang}, Z. Angew. Math. Phys. 67, No. 4, Article ID 88, 17 p. (2016; Zbl 1365.35021) Full Text: DOI
Wang, Youjun A class of quasilinear Schrödinger equations with critical or supercritical exponents. (English) Zbl 1443.35041 Comput. Math. Appl. 70, No. 4, 562-572 (2015). MSC: 35J60 35B33 35J20 PDFBibTeX XMLCite \textit{Y. Wang}, Comput. Math. Appl. 70, No. 4, 562--572 (2015; Zbl 1443.35041) Full Text: DOI
Alves, Claudianor O.; Wang, Youjun; Shen, Yaotian Soliton solutions for a class of quasilinear Schrödinger equations with a parameter. (English) Zbl 1317.35225 J. Differ. Equations 259, No. 1, 318-343 (2015). MSC: 35Q55 35B33 35J20 35J60 PDFBibTeX XMLCite \textit{C. O. Alves} et al., J. Differ. Equations 259, No. 1, 318--343 (2015; Zbl 1317.35225) Full Text: DOI arXiv
Savenkova, N. P.; Laponin, V. S. A numerical method for finding soliton solutions in nonlinear differential equations. (English. Russian original) Zbl 1272.65080 Mosc. Univ. Comput. Math. Cybern. 37, No. 2, 49-54 (2013); translation from Vest. Mosk. Univ., Ser. XV 2013, No. 2, 5-10 (2013). MSC: 65M99 35Q53 35Q51 65M12 35Q55 PDFBibTeX XMLCite \textit{N. P. Savenkova} and \textit{V. S. Laponin}, Mosc. Univ. Comput. Math. Cybern. 37, No. 2, 49--54 (2013; Zbl 1272.65080); translation from Vest. Mosk. Univ., Ser. XV 2013, No. 2, 5--10 (2013) Full Text: DOI
Lange, Horst; Poppenberg, Markus; Teismann, Holger Nash-Moser methods for the solution of quasilinear Schrödinger equations. (English) Zbl 0935.35153 Commun. Partial Differ. Equations 24, No. 7-8, 1399-1418 (1999). Reviewer: L.Vazquez (Madrid) MSC: 35Q55 35A07 35B30 35F25 PDFBibTeX XMLCite \textit{H. Lange} et al., Commun. Partial Differ. Equations 24, No. 7--8, 1399--1418 (1999; Zbl 0935.35153) Full Text: DOI
Brüll, L.; Hölters, H.-P. A geometrical approach to bifurcation for nonlinear boundary value problems. (English) Zbl 0632.34046 Z. Angew. Math. Phys. 37, 820-830 (1986). Reviewer: S.Manolov MSC: 34C25 PDFBibTeX XMLCite \textit{L. Brüll} and \textit{H. P. Hölters}, Z. Angew. Math. Phys. 37, 820--830 (1986; Zbl 0632.34046) Full Text: DOI