Bonheure, Denis; Castéras, Jean-Baptiste; Gou, Tianxiang; Jeanjean, Louis Strong instability of ground states to a fourth order Schrödinger equation. (English) Zbl 1462.35347 Int. Math. Res. Not. 2019, No. 17, 5299-5315 (2019). Reviewer: Ayman Kachmar (Nabaṭiyya) MSC: 35Q55 81Q05 35B44 35B35 78A50 PDFBibTeX XMLCite \textit{D. Bonheure} et al., Int. Math. Res. Not. 2019, No. 17, 5299--5315 (2019; Zbl 1462.35347) Full Text: DOI arXiv Link
Bonheure, Denis; Casteras, Jean-Baptiste; Mandel, Rainer On a fourth-order nonlinear Helmholtz equation. (English) Zbl 1422.35068 J. Lond. Math. Soc., II. Ser. 99, No. 3, 831-852 (2019). MSC: 35J91 35A01 35J35 PDFBibTeX XMLCite \textit{D. Bonheure} et al., J. Lond. Math. Soc., II. Ser. 99, No. 3, 831--852 (2019; Zbl 1422.35068) Full Text: DOI arXiv Link
Bonheure, Denis; Casteras, Jean-Baptiste; Gou, Tianxiang; Jeanjean, Louis Normalized solutions to the mixed dispersion nonlinear Schrödinger equation in the mass critical and supercritical regime. (English) Zbl 1420.35343 Trans. Am. Math. Soc. 372, No. 3, 2167-2212 (2019). MSC: 35Q55 35J30 35J50 35B35 35Q60 35Q40 35B09 PDFBibTeX XMLCite \textit{D. Bonheure} et al., Trans. Am. Math. Soc. 372, No. 3, 2167--2212 (2019; Zbl 1420.35343) Full Text: DOI arXiv
Bonheure, Denis; Casteras, Jean-Baptiste; dos Santos, Ederson Moreira; Nascimento, Robson Orbitally stable standing waves of a mixed dispersion nonlinear Schrödinger equation. (English) Zbl 1404.35403 SIAM J. Math. Anal. 50, No. 5, 5027-5071 (2018). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q55 35B35 35J30 PDFBibTeX XMLCite \textit{D. Bonheure} et al., SIAM J. Math. Anal. 50, No. 5, 5027--5071 (2018; Zbl 1404.35403) Full Text: DOI arXiv
Bonheure, Denis; Nascimento, Robson Waveguide solutions for a nonlinear Schrödinger equation with mixed dispersion. (English) Zbl 1334.35310 Carvalho, Alexandre N. (ed.) et al., Contributions to nonlinear elliptic equations and systems. A tribute to Djairo Guedes de Figueiredo on the occasion of his 80th birthday. Cham: Birkhäuser/Springer (ISBN 978-3-319-19901-6/hbk; 978-3-319-19902-3/ebook). Progress in Nonlinear Differential Equations and Their Applications 86, 31-53 (2015). MSC: 35Q55 35J61 78A50 35J10 49K20 35J60 78A60 35B40 PDFBibTeX XMLCite \textit{D. Bonheure} and \textit{R. Nascimento}, Prog. Nonlinear Differ. Equ. Appl. 86, 31--53 (2015; Zbl 1334.35310) Full Text: DOI Link