Figueiredo, Giovany; Montenegro, Marcelo Fitzhugh-Nagumo system with zero mass and critical growth. (English) Zbl 07513374 Isr. J. Math. 245, No. 2, 711-733 (2021). MSC: 35J47 35A01 PDF BibTeX XML Cite \textit{G. Figueiredo} and \textit{M. Montenegro}, Isr. J. Math. 245, No. 2, 711--733 (2021; Zbl 07513374) Full Text: DOI OpenURL
Alves, Claudianor O.; Luo, Huxiao; Yang, Minbo Ground state solutions for a class of strongly indefinite Choquard equations. (English) Zbl 1440.35126 Bull. Malays. Math. Sci. Soc. (2) 43, No. 4, 3271-3304 (2020). MSC: 35J61 35J50 58E30 35A01 PDF BibTeX XML Cite \textit{C. O. Alves} et al., Bull. Malays. Math. Sci. Soc. (2) 43, No. 4, 3271--3304 (2020; Zbl 1440.35126) Full Text: DOI OpenURL
Alves, Claudianor O.; Germano, Geilson F. Existence of ground state solution and concentration of maxima for a class of indefinite variational problems. (English) Zbl 1437.35326 Commun. Pure Appl. Anal. 19, No. 5, 2887-2906 (2020). MSC: 35J61 35A01 35J20 PDF BibTeX XML Cite \textit{C. O. Alves} and \textit{G. F. Germano}, Commun. Pure Appl. Anal. 19, No. 5, 2887--2906 (2020; Zbl 1437.35326) Full Text: DOI arXiv OpenURL
Alves, Claudianor O.; Germano, Geilson F. Existence and concentration phenomena for a class of indefinite variational problems with critical growth. (English) Zbl 1433.35022 Potential Anal. 52, No. 1, 135-159 (2020). MSC: 35J10 35J61 35J20 PDF BibTeX XML Cite \textit{C. O. Alves} and \textit{G. F. Germano}, Potential Anal. 52, No. 1, 135--159 (2020; Zbl 1433.35022) Full Text: DOI arXiv OpenURL
Petrúcio Cavalcante, Marcius; Alves, Claudianor O.; Medeiros, Everaldo A semilinear Schrödinger equation with zero on the boundary of the spectrum and exponential growth in \(\mathbb{R}^2\). (English) Zbl 1429.35088 Commun. Contemp. Math. 21, No. 6, Article ID 1850037, 21 p. (2019). Reviewer: Dian K. Palagachev (Bari) MSC: 35J60 35J20 35Q55 PDF BibTeX XML Cite \textit{M. Petrúcio Cavalcante} et al., Commun. Contemp. Math. 21, No. 6, Article ID 1850037, 21 p. (2019; Zbl 1429.35088) Full Text: DOI OpenURL
Alves, Claudianor O.; Cavalcante, Marcius; Medeiros, Everaldo On a periodic Schrödinger equation involving periodic and nonperiodic nonlinearities in \(\mathbb{R}^2\). (English) Zbl 1401.35113 J. Math. Anal. Appl. 462, No. 1, 216-232 (2018). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 35J91 PDF BibTeX XML Cite \textit{C. O. Alves} et al., J. Math. Anal. Appl. 462, No. 1, 216--232 (2018; Zbl 1401.35113) Full Text: DOI OpenURL
Alves, Claudianor O.; Germano, Geilson F. Ground state solution for a class of indefinite variational problems with critical growth. (English) Zbl 1394.35151 J. Differ. Equations 265, No. 1, 444-477 (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 35J15 35J20 PDF BibTeX XML Cite \textit{C. O. Alves} and \textit{G. F. Germano}, J. Differ. Equations 265, No. 1, 444--477 (2018; Zbl 1394.35151) Full Text: DOI arXiv OpenURL
Cheng, Rong; Wang, Jun Existence and concentration of positive solutions for coupled Schrödinger equations. (English) Zbl 1371.35109 Appl. Anal. 96, No. 5, 778-798 (2017). MSC: 35J61 35J20 35Q55 35B09 PDF BibTeX XML Cite \textit{R. Cheng} and \textit{J. Wang}, Appl. Anal. 96, No. 5, 778--798 (2017; Zbl 1371.35109) Full Text: DOI OpenURL
dos Santos, Gelson C. G.; Figueiredo, Giovany M. Existence of solutions for an NSE with discontinuous nonlinearity. (English) Zbl 1370.35123 J. Fixed Point Theory Appl. 19, No. 1, 917-937 (2017). Reviewer: Dagmar Medková (Praha) MSC: 35J60 35Q55 PDF BibTeX XML Cite \textit{G. C. G. dos Santos} and \textit{G. M. Figueiredo}, J. Fixed Point Theory Appl. 19, No. 1, 917--937 (2017; Zbl 1370.35123) Full Text: DOI OpenURL
Zhu, Xiaoli; Li, Fuyi; Liang, Zhanping Existence of ground state solutions to a generalized quasilinear Schrödinger-Maxwell system. (English) Zbl 1353.35128 J. Math. Phys. 57, No. 10, 101505, 15 p. (2016). MSC: 35G50 81Q40 35Q55 35Q61 78A35 81Q10 PDF BibTeX XML Cite \textit{X. Zhu} et al., J. Math. Phys. 57, No. 10, 101505, 15 p. (2016; Zbl 1353.35128) Full Text: DOI OpenURL
Alves, M. J.; Assunção, R. B.; Miyagaki, O. H. Existence result for a class of quasilinear elliptic equations with (\(p\)-\(q\))-Laplacian and vanishing potentials. (English) Zbl 1352.35061 Ill. J. Math. 59, No. 3, 545-575 (2015). MSC: 35J92 35J20 35J10 35B09 35B38 35B45 PDF BibTeX XML Cite \textit{M. J. Alves} et al., Ill. J. Math. 59, No. 3, 545--575 (2015; Zbl 1352.35061) Full Text: arXiv Euclid OpenURL
Chen, Shaowei; Zhang, Dawei Existence of nontrivial solutions for asymptotically linear periodic Schrödinger equations. (English) Zbl 1312.35056 Complex Var. Elliptic Equ. 60, No. 2, 252-267 (2015). MSC: 35J20 35J60 PDF BibTeX XML Cite \textit{S. Chen} and \textit{D. Zhang}, Complex Var. Elliptic Equ. 60, No. 2, 252--267 (2015; Zbl 1312.35056) Full Text: DOI arXiv OpenURL
Chen, Shaowei; Lin, Lishan; Xiao, Liqin Nontrivial solutions for periodic Schrödinger equations with sign-changing nonlinearities. (English) Zbl 1309.35129 J. Funct. Spaces 2015, Article ID 757153, 12 p. (2015). MSC: 35Q55 PDF BibTeX XML Cite \textit{S. Chen} et al., J. Funct. Spaces 2015, Article ID 757153, 12 p. (2015; Zbl 1309.35129) Full Text: DOI arXiv OpenURL
Chen, Shaowei; Zhang, Dawei Existence of nontrivial solutions for periodic Schrödinger equations with new nonlinearities. (English) Zbl 1474.35295 Abstr. Appl. Anal. 2014, Article ID 539639, 10 p. (2014). MSC: 35J60 35Q55 PDF BibTeX XML Cite \textit{S. Chen} and \textit{D. Zhang}, Abstr. Appl. Anal. 2014, Article ID 539639, 10 p. (2014; Zbl 1474.35295) Full Text: DOI arXiv OpenURL
Batkam, Cyril Joël; Colin, Fabrice Generalized Fountain Theorem and applications to strongly indefinite semilinear problems. (English) Zbl 1312.35096 J. Math. Anal. Appl. 405, No. 2, 438-452 (2013). Reviewer: Florin Catrina (New York) MSC: 35J61 35J47 PDF BibTeX XML Cite \textit{C. J. Batkam} and \textit{F. Colin}, J. Math. Anal. Appl. 405, No. 2, 438--452 (2013; Zbl 1312.35096) Full Text: DOI arXiv OpenURL
Chen, Shaowei Existence of positive solutions for a critical nonlinear Schrödinger equation with vanishing or coercive potentials. (English) Zbl 1298.35189 Bound. Value Probl. 2013, Paper No. 201, 30 p. (2013). MSC: 35Q55 35J20 35J60 35B09 PDF BibTeX XML Cite \textit{S. Chen}, Bound. Value Probl. 2013, Paper No. 201, 30 p. (2013; Zbl 1298.35189) Full Text: DOI arXiv OpenURL
Bastos, Waldemar D.; Miyagaki, Olimpio H.; Vieira, Rônei S. Existence of solutions for a class of degenerate quasilinear elliptic equation in \(\mathbb{R}^N\) with vanishing potentials. (English) Zbl 1293.35121 Bound. Value Probl. 2013, Paper No. 92, 16 p. (2013). MSC: 35J62 35B09 35J10 35J20 35J70 PDF BibTeX XML Cite \textit{W. D. Bastos} et al., Bound. Value Probl. 2013, Paper No. 92, 16 p. (2013; Zbl 1293.35121) Full Text: DOI OpenURL
Batkam, Cyril Joel; Colin, Fabrice On multiple solutions of a semilinear Schrödinger equation with periodic potential. (English) Zbl 1278.35224 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 84, 39-49 (2013). MSC: 35Q55 35Q60 35A02 PDF BibTeX XML Cite \textit{C. J. Batkam} and \textit{F. Colin}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 84, 39--49 (2013; Zbl 1278.35224) Full Text: DOI OpenURL
Alves, Claudianor O.; Souto, Marco A. S.; Montenegro, Marcelo Existence of solution for two classes of elliptic problems in \(\mathbb R^N\) with zero mass. (English) Zbl 1243.35011 J. Differ. Equations 252, No. 10, 5735-5750 (2012). Reviewer: Marlène Frigon (Montréal) MSC: 35B09 35Q55 35J60 35J62 PDF BibTeX XML Cite \textit{C. O. Alves} et al., J. Differ. Equations 252, No. 10, 5735--5750 (2012; Zbl 1243.35011) Full Text: DOI OpenURL
Alves, Claudianor O.; Souto, Marco A. S. Existence of solutions for a class of elliptic equations in \(\mathbb R^N\) with vanishing potentials. (English) Zbl 1250.35103 J. Differ. Equations 252, No. 10, 5555-5568 (2012). Reviewer: Huansong Zhou (Wuhan) MSC: 35J61 35J20 35B09 PDF BibTeX XML Cite \textit{C. O. Alves} and \textit{M. A. S. Souto}, J. Differ. Equations 252, No. 10, 5555--5568 (2012; Zbl 1250.35103) Full Text: DOI OpenURL
Yang, Minbo Standing waves to discrete vector nonlinear Schrödinger equation. (English) Zbl 1244.35139 J. Difference Equ. Appl. 17, No. 10, 1455-1469 (2011). Reviewer: M. Marin (Brasov) MSC: 35Q55 39A12 35B38 PDF BibTeX XML Cite \textit{M. Yang}, J. Difference Equ. Appl. 17, No. 10, 1455--1469 (2011; Zbl 1244.35139) Full Text: DOI OpenURL
Yang, Minbo; Chen, Wenxiong; Ding, Yanheng Solutions for discrete periodic Schrödinger equations with spectrum 0. (English) Zbl 1191.35260 Acta Appl. Math. 110, No. 3, 1475-1488 (2010). MSC: 35Q55 35Q51 39A12 39A70 PDF BibTeX XML Cite \textit{M. Yang} et al., Acta Appl. Math. 110, No. 3, 1475--1488 (2010; Zbl 1191.35260) Full Text: DOI OpenURL
Yang, Minbo; Zhao, Fukun; Ding, Yanheng Infinitely many stationary solutions of discrete vector nonlinear Schrödinger equation with symmetry. (English) Zbl 1191.39011 Appl. Math. Comput. 215, No. 12, 4230-4238 (2010). Reviewer: Haydar Akca (Al Ain) MSC: 39A12 35Q55 PDF BibTeX XML Cite \textit{M. Yang} et al., Appl. Math. Comput. 215, No. 12, 4230--4238 (2010; Zbl 1191.39011) Full Text: DOI OpenURL
Chen, Shaowei Multi-bump solutions for a strongly indefinite semilinear Schrödinger equation without symmetry or convexity assumptions. (English) Zbl 1167.35508 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 10, 3067-3102 (2008). MSC: 35Q55 35J20 PDF BibTeX XML Cite \textit{S. Chen}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 10, 3067--3102 (2008; Zbl 1167.35508) Full Text: DOI arXiv OpenURL
Fan, Xianling \(p(x)\)-Laplacian equations in \(\mathbb R^N\) with periodic data and nonperiodic perturbations. (English) Zbl 1135.35034 J. Math. Anal. Appl. 341, No. 1, 103-119 (2008). MSC: 35J60 35B20 35D05 PDF BibTeX XML Cite \textit{X. Fan}, J. Math. Anal. Appl. 341, No. 1, 103--119 (2008; Zbl 1135.35034) Full Text: DOI OpenURL
Ackermann, Nils A nonlinear superposition principle and multibump solutions of periodic Schrödinger equations. (English) Zbl 1126.35057 J. Funct. Anal. 234, No. 2, 277-320 (2006). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q55 35B10 PDF BibTeX XML Cite \textit{N. Ackermann}, J. Funct. Anal. 234, No. 2, 277--320 (2006; Zbl 1126.35057) Full Text: DOI OpenURL
Ackermann, Nils An abstract approach to multibump solutions of periodic Schrödinger equations and applications. (English) Zbl 1224.35112 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 5-7, e1031-e1037 (2005). MSC: 35J60 35B10 47J30 PDF BibTeX XML Cite \textit{N. Ackermann}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 5--7, e1031--e1037 (2005; Zbl 1224.35112) Full Text: DOI OpenURL
Ackermann, Nils; Weth, Tobias Multibump solutions of nonlinear periodic Schrödinger equations in a degenerate setting. (English) Zbl 1070.35083 Commun. Contemp. Math. 7, No. 3, 269-298 (2005). MSC: 35Q55 35J60 47H07 PDF BibTeX XML Cite \textit{N. Ackermann} and \textit{T. Weth}, Commun. Contemp. Math. 7, No. 3, 269--298 (2005; Zbl 1070.35083) Full Text: DOI OpenURL
Bertone, Ana Maria; do Ó, João Marcos On a class of semilinear Schrödinger equations involving critical growth and discontinuous nonlinearities. (English) Zbl 1290.35090 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 54, No. 5, 885-906 (2003). MSC: 35J60 35J10 35J20 35R05 PDF BibTeX XML Cite \textit{A. M. Bertone} and \textit{J. M. do Ó}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 54, No. 5, 885--906 (2003; Zbl 1290.35090) Full Text: DOI OpenURL
Li, Gongbao; Szulkin, Andrzej An asymptotically periodic Schrödinger equation with indefinite linear part. (English) Zbl 1056.35065 Commun. Contemp. Math. 4, No. 4, 763-776 (2002). MSC: 35J60 35B15 58E05 PDF BibTeX XML Cite \textit{G. Li} and \textit{A. Szulkin}, Commun. Contemp. Math. 4, No. 4, 763--776 (2002; Zbl 1056.35065) Full Text: DOI OpenURL
Chabrowski, Jan; Szulkin, Andrzej On a semilinear Schrödinger equation with critical Sobolev exponent. (English) Zbl 0984.35150 Proc. Am. Math. Soc. 130, No. 1, 85-93 (2002). MSC: 35Q55 35B33 35J65 PDF BibTeX XML Cite \textit{J. Chabrowski} and \textit{A. Szulkin}, Proc. Am. Math. Soc. 130, No. 1, 85--93 (2002; Zbl 0984.35150) Full Text: DOI OpenURL
Pankov, A. A.; Pflüger, K. Travelling waves in lattice dynamical systems. (English) Zbl 0963.37072 Math. Methods Appl. Sci. 23, No. 14, 1223-1235 (2000). Reviewer: Messoud Efendiev (Berlin) MSC: 37K60 49J35 34C25 PDF BibTeX XML Cite \textit{A. A. Pankov} and \textit{K. Pflüger}, Math. Methods Appl. Sci. 23, No. 14, 1223--1235 (2000; Zbl 0963.37072) Full Text: DOI OpenURL