Assaad, Wafaa; Helffer, Bernard; Kachmar, Ayman Semiclassical eigenvalue estimates under magnetic steps. (English) Zbl 07818638 Anal. PDE 17, No. 2, 535-585 (2024). MSC: 35P15 35P20 81Q20 PDFBibTeX XMLCite \textit{W. Assaad} et al., Anal. PDE 17, No. 2, 535--585 (2024; Zbl 07818638) Full Text: DOI
Helffer, Bernard; Kachmar, Ayman Thin domain limit and counterexamples to strong diamagnetism. (English) Zbl 1473.35523 Rev. Math. Phys. 33, No. 2, Article ID 2150003, 35 p. (2021). MSC: 35Q56 35P15 PDFBibTeX XMLCite \textit{B. Helffer} and \textit{A. Kachmar}, Rev. Math. Phys. 33, No. 2, Article ID 2150003, 35 p. (2021; Zbl 1473.35523) Full Text: DOI arXiv
Fournais, S.; Helffer, B. Inequalities for the lowest magnetic Neumann eigenvalue. (English) Zbl 1415.35213 Lett. Math. Phys. 109, No. 7, 1683-1700 (2019). MSC: 35P15 PDFBibTeX XMLCite \textit{S. Fournais} and \textit{B. Helffer}, Lett. Math. Phys. 109, No. 7, 1683--1700 (2019; Zbl 1415.35213) Full Text: DOI arXiv
Almog, Yaniv; Helffer, Bernard; Pan, Xing-Bin Mixed normal-superconducting states in the presence of strong electric currents. (English) Zbl 1361.35171 Arch. Ration. Mech. Anal. 223, No. 1, 419-462 (2017). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35Q56 35R09 82D55 35B40 PDFBibTeX XMLCite \textit{Y. Almog} et al., Arch. Ration. Mech. Anal. 223, No. 1, 419--462 (2017; Zbl 1361.35171) Full Text: DOI arXiv
Almog, Yaniv; Helffer, Bernard Global stability of the normal state of superconductors in the presence of a strong electric current. (English) Zbl 1304.35662 Commun. Math. Phys. 330, No. 3, 1021-1094 (2014). Reviewer: I. A. Parinov (Rostov-na-Donu) MSC: 35Q56 82D55 35B40 35B65 35B35 PDFBibTeX XMLCite \textit{Y. Almog} and \textit{B. Helffer}, Commun. Math. Phys. 330, No. 3, 1021--1094 (2014; Zbl 1304.35662) Full Text: DOI arXiv
Almog, Yaniv; Helffer, Bernard; Pan, Xing-Bin Superconductivity near the normal state in a half-plane under the action of a perpendicular electric current and an induced magnetic field. (English) Zbl 1267.82139 Trans. Am. Math. Soc. 365, No. 3, 1183-1217 (2013). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 82D55 35B25 35B40 35Q55 PDFBibTeX XMLCite \textit{Y. Almog} et al., Trans. Am. Math. Soc. 365, No. 3, 1183--1217 (2013; Zbl 1267.82139) Full Text: DOI
Helffer, Bernard; Kordyukov, Yuri A. Semiclassical spectral asymptotics for a two-dimensional magnetic Schrödinger operator II: The case of degenerate wells. (English) Zbl 1247.35084 Commun. Partial Differ. Equations 37, No. 4-6, 1057-1095 (2012). Reviewer: Peter B. Gilkey (Eugene) MSC: 35P20 35J10 47F05 81Q10 PDFBibTeX XMLCite \textit{B. Helffer} and \textit{Y. A. Kordyukov}, Commun. Partial Differ. Equations 37, No. 4--6, 1057--1095 (2012; Zbl 1247.35084) Full Text: DOI arXiv
Fournais, Soeren; Helffer, Bernard Strong diamagnetism for general domains and application. (English) Zbl 1133.35073 Ann. Inst. Fourier 57, No. 7, 2389-2400 (2007). MSC: 35P15 35J25 82D55 PDFBibTeX XMLCite \textit{S. Fournais} and \textit{B. Helffer}, Ann. Inst. Fourier 57, No. 7, 2389--2400 (2007; Zbl 1133.35073) Full Text: DOI arXiv Numdam Numdam EuDML
Fournais, S.; Helffer, B. On the third critical field in Ginzburg-Landau theory. (English) Zbl 1107.58009 Commun. Math. Phys. 266, No. 1, 153-196 (2006). MSC: 58E50 82D55 PDFBibTeX XMLCite \textit{S. Fournais} and \textit{B. Helffer}, Commun. Math. Phys. 266, No. 1, 153--196 (2006; Zbl 1107.58009) Full Text: DOI arXiv
Fournais, Søren; Helffer, Bernard Accurate eigenvalue asymptotics for the magnetic Neumann Laplacian. (English) Zbl 1097.47020 Ann. Inst. Fourier 56, No. 1, 1-67 (2006). Reviewer: Maksim Sokolov (Tashkent) MSC: 47A75 58C40 35Q40 81Q20 PDFBibTeX XMLCite \textit{S. Fournais} and \textit{B. Helffer}, Ann. Inst. Fourier 56, No. 1, 1--67 (2006; Zbl 1097.47020) Full Text: DOI Numdam Numdam EuDML
Fournais, S.; Helffer, B. Energy asymptotics for type II superconductors. (English) Zbl 1160.82365 Calc. Var. Partial Differ. Equ. 24, No. 3, 341-376 (2005). MSC: 82D55 35Q55 35B40 35J50 58E50 PDFBibTeX XMLCite \textit{S. Fournais} and \textit{B. Helffer}, Calc. Var. Partial Differ. Equ. 24, No. 3, 341--376 (2005; Zbl 1160.82365) Full Text: DOI
Helffer, Bernard; Morame, Abderemane Magnetic bottles for the Neumann problem: curvature effects in the case of dimension 3 (general case). (English) Zbl 1057.35061 Ann. Sci. Éc. Norm. Supér. (4) 37, No. 1, 105-170 (2004). Reviewer: Luis Vazquez (Madrid) MSC: 35Q55 82D55 78A30 58E99 PDFBibTeX XMLCite \textit{B. Helffer} and \textit{A. Morame}, Ann. Sci. Éc. Norm. Supér. (4) 37, No. 1, 105--170 (2004; Zbl 1057.35061) Full Text: DOI Numdam Numdam EuDML
Helffer, Bernard; Pan, Xing-Bin Upper critical field and location of surface nucleation of superconductivity. (Champ surcritique et localisation de la nucléation de surface en supraconductivité.) (English) Zbl 1060.35132 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 20, No. 1, 145-181 (2003). Reviewer: Heinz Siedentop (München) MSC: 35Q55 82D55 47N55 58E50 PDFBibTeX XMLCite \textit{B. Helffer} and \textit{X.-B. Pan}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 20, No. 1, 145--181 (2003; Zbl 1060.35132) Full Text: DOI Numdam EuDML
Helffer, Bernard; Morame, Abderemane Magnetic bottles for the Neumann problem: the case of dimension 3. (English) Zbl 1199.81016 Proc. Indian Acad. Sci., Math. Sci. 112, No. 1, 71-84 (2002). MSC: 81Q10 35J10 35P15 35Q40 81Q20 82D55 PDFBibTeX XMLCite \textit{B. Helffer} and \textit{A. Morame}, Proc. Indian Acad. Sci., Math. Sci. 112, No. 1, 71--84 (2002; Zbl 1199.81016) Full Text: DOI
Helffer, Bernard; Morame, Abderemane Magnetic bottles in connection with superconductivity. (English) Zbl 1078.81023 J. Funct. Anal. 185, No. 2, 604-680 (2001). Reviewer: Alberto Parmeggiani (Bologna) MSC: 81Q10 81Q20 35J10 35P15 35Q40 82D55 PDFBibTeX XMLCite \textit{B. Helffer} and \textit{A. Morame}, J. Funct. Anal. 185, No. 2, 604--680 (2001; Zbl 1078.81023) Full Text: DOI Link