Lin, Fanghua; Shen, Zhongwei Critical sets of elliptic equations with rapidly oscillating coefficients in two dimensions. (English) Zbl 07785096 Vietnam J. Math. 51, No. 4, 951-961 (2023). MSC: 35J15 35B27 PDFBibTeX XMLCite \textit{F. Lin} and \textit{Z. Shen}, Vietnam J. Math. 51, No. 4, 951--961 (2023; Zbl 07785096) Full Text: DOI arXiv
Shen, Zhongwei Extrapolation for the \(L^p\) Dirichlet problem in Lipschitz domains. (English) Zbl 1421.35093 Acta Math. Sin., Engl. Ser. 35, No. 6, 1074-1084 (2019). MSC: 35J57 PDFBibTeX XMLCite \textit{Z. Shen}, Acta Math. Sin., Engl. Ser. 35, No. 6, 1074--1084 (2019; Zbl 1421.35093) Full Text: DOI arXiv
Lin, Fanghua; Shen, Zhongwei Nodal sets and doubling conditions in elliptic homogenization. (English) Zbl 1421.35074 Acta Math. Sin., Engl. Ser. 35, No. 6, 815-831 (2019). MSC: 35J15 35B27 PDFBibTeX XMLCite \textit{F. Lin} and \textit{Z. Shen}, Acta Math. Sin., Engl. Ser. 35, No. 6, 815--831 (2019; Zbl 1421.35074) Full Text: DOI arXiv
Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei Homogenization of elliptic systems with Neumann boundary conditions. (English) Zbl 1277.35166 J. Am. Math. Soc. 26, No. 4, 901-937 (2013). Reviewer: Adrian Muntean (Eindhoven) MSC: 35J57 35B27 PDFBibTeX XMLCite \textit{C. E. Kenig} et al., J. Am. Math. Soc. 26, No. 4, 901--937 (2013; Zbl 1277.35166) Full Text: DOI arXiv
Kenig, Carlos E.; Lin, Fanghua; Shen, Zhongwei Convergence rates in \(L ^{2}\) for elliptic homogenization problems. (English) Zbl 1258.35086 Arch. Ration. Mech. Anal. 203, No. 3, 1009-1036 (2012). MSC: 35J48 35B27 PDFBibTeX XMLCite \textit{C. E. Kenig} et al., Arch. Ration. Mech. Anal. 203, No. 3, 1009--1036 (2012; Zbl 1258.35086) Full Text: DOI arXiv
Shen, Zhongwei Weighted estimates in \(L^2\) for Laplace’s equation on Lipschitz domains. (English) Zbl 1145.35363 Trans. Am. Math. Soc. 357, No. 7, 2843-2870 (2005). MSC: 35J25 35J05 35J67 46E35 PDFBibTeX XMLCite \textit{Z. Shen}, Trans. Am. Math. Soc. 357, No. 7, 2843--2870 (2005; Zbl 1145.35363) Full Text: DOI
Shen, Zhongwei The spectrum of Schrödinger operators with positive potentials in Riemannian manifolds. (English) Zbl 1057.58016 Proc. Am. Math. Soc. 131, No. 11, 3447-3456 (2003). Reviewer: Michael Hitrik (Los Angeles) MSC: 58J50 35P20 35J10 PDFBibTeX XMLCite \textit{Z. Shen}, Proc. Am. Math. Soc. 131, No. 11, 3447--3456 (2003; Zbl 1057.58016) Full Text: DOI
Shen, Zhongwei The periodic Schrödinger operators with potentials in the Morrey class. (English) Zbl 1119.35316 J. Funct. Anal. 193, No. 2, 314-345 (2002). MSC: 35J10 47F05 35B10 35P05 81Q10 PDFBibTeX XMLCite \textit{Z. Shen}, J. Funct. Anal. 193, No. 2, 314--345 (2002; Zbl 1119.35316) Full Text: DOI Link
Shen, Zhongwei On moments of negative eigenvalues for the Pauli operator. (English) Zbl 0928.35114 J. Differ. Equations 151, No. 2, 420-455 (1999). MSC: 35P15 35Q40 81Q10 PDFBibTeX XMLCite \textit{Z. Shen}, J. Differ. Equations 151, No. 2, 420--455 (1999; Zbl 0928.35114) Full Text: DOI
Shen, Zhongwei On bounds of \(N(\lambda)\) for a magnetic Schrödinger operator. (English) Zbl 0948.35088 Duke Math. J. 94, No. 3, 479-507 (1998). Reviewer: Georgi E.Karadzhov (Sofia) MSC: 35P15 35Q40 35P20 47F05 81Q10 35J10 PDFBibTeX XMLCite \textit{Z. Shen}, Duke Math. J. 94, No. 3, 479--507 (1998; Zbl 0948.35088) Full Text: DOI
Shen, Zhongwei On moments of negative eigenvalues for the Pauli operator. (English) Zbl 0912.35139 J. Differ. Equations 149, No. 2, 292-327 (1998). Reviewer: H.Yamagata (Osaka) MSC: 35Q40 35P30 47A10 PDFBibTeX XMLCite \textit{Z. Shen}, J. Differ. Equations 149, No. 2, 292--327 (1998; Zbl 0912.35139) Full Text: DOI Link
Shen, Zhongwei On the number of negative eigenvalues for a Schrödinger operator with magnetic field. (English) Zbl 0863.35071 Commun. Math. Phys. 182, No. 3, 637-660 (1996). MSC: 35P15 35Q40 PDFBibTeX XMLCite \textit{Z. Shen}, Commun. Math. Phys. 182, No. 3, 637--660 (1996; Zbl 0863.35071) Full Text: DOI
Shen, Zhongwei Eigenvalue asymptotics and exponential decay of eigenfunctions for Schrödinger operators with magnetic fields. (English) Zbl 0866.35088 Trans. Am. Math. Soc. 348, No. 11, 4465-4488 (1996). Reviewer: B.Helffer (Orsay) MSC: 35P20 35J10 35P15 PDFBibTeX XMLCite \textit{Z. Shen}, Trans. Am. Math. Soc. 348, No. 11, 4465--4488 (1996; Zbl 0866.35088) Full Text: DOI
Shen, Zhongwei \(L^ p\) estimates for Schrödinger operators with certain potentials. (English) Zbl 0818.35021 Ann. Inst. Fourier 45, No. 2, 513-546 (1995). MSC: 35J10 42B20 PDFBibTeX XMLCite \textit{Z. Shen}, Ann. Inst. Fourier 45, No. 2, 513--546 (1995; Zbl 0818.35021) Full Text: DOI Numdam EuDML
Brown, Russell M.; Shen, Zhongwei A note on boundary value problems for the heat equation in Lipschitz cylinders. (English) Zbl 0806.35055 Proc. Am. Math. Soc. 119, No. 2, 585-594 (1993). MSC: 35K20 35K05 35D05 PDFBibTeX XMLCite \textit{R. M. Brown} and \textit{Z. Shen}, Proc. Am. Math. Soc. 119, No. 2, 585--594 (1993; Zbl 0806.35055) Full Text: DOI