Liu, Wei; Xie, Ziqing; Yi, Wenfan Normalized Wolfe-Powell-type local minimax method for finding multiple unstable solutions of nonlinear elliptic PDEs. (English) Zbl 1525.35133 Sci. China, Math. 66, No. 10, 2361-2384 (2023). MSC: 35J61 35A15 65N12 65J15 PDFBibTeX XMLCite \textit{W. Liu} et al., Sci. China, Math. 66, No. 10, 2361--2384 (2023; Zbl 1525.35133) Full Text: DOI arXiv
Zhang, Jianjun; Zhong, Xuexiu; Zhou, Huansong Bifurcation from the essential spectrum for an elliptic equation with general nonlinearities. (English) Zbl 1525.35146 Sci. China, Math. 66, No. 10, 2243-2260 (2023). MSC: 35J91 35B32 35P30 PDFBibTeX XMLCite \textit{J. Zhang} et al., Sci. China, Math. 66, No. 10, 2243--2260 (2023; Zbl 1525.35146) Full Text: DOI arXiv
Yao, Shuai; Chen, Haibo; Sun, Juntao Normalized solutions to the Chern-Simons-Schrödinger system under the nonlinear combined effect. (English) Zbl 1522.35427 Sci. China, Math. 66, No. 9, 2057-2080 (2023). MSC: 35Q40 35Q55 35B35 35B38 35B40 35J20 35J61 35A15 35A01 35R02 PDFBibTeX XMLCite \textit{S. Yao} et al., Sci. China, Math. 66, No. 9, 2057--2080 (2023; Zbl 1522.35427) Full Text: DOI
Du, Xusheng; Yang, Hui A priori estimates versus arbitrarily large solutions for fractional semi-linear elliptic equations with critical Sobolev exponent. (English) Zbl 1522.35551 Sci. China, Math. 66, No. 9, 1965-1992 (2023). MSC: 35R11 35B09 35B40 35B45 35J61 PDFBibTeX XMLCite \textit{X. Du} and \textit{H. Yang}, Sci. China, Math. 66, No. 9, 1965--1992 (2023; Zbl 1522.35551) Full Text: DOI arXiv
Deng, Yinbin; Guo, Yujin; Xu, Liangshun Limiting profiles of two-component attractive Bose-Einstein condensates passing an obstacle. (English) Zbl 1526.35026 Sci. China, Math. 66, No. 8, 1767-1788 (2023). Reviewer: Huansong Zhou (Wuhan) MSC: 35B25 35J50 35J61 PDFBibTeX XMLCite \textit{Y. Deng} et al., Sci. China, Math. 66, No. 8, 1767--1788 (2023; Zbl 1526.35026) Full Text: DOI
Luo, Xiao; Yang, Tao Normalized solutions for a fourth-order Schrödinger equation with a positive second-order dispersion coefficient. (English) Zbl 1519.35103 Sci. China, Math. 66, No. 6, 1237-1262 (2023). MSC: 35J30 35J61 35A01 35B40 PDFBibTeX XMLCite \textit{X. Luo} and \textit{T. Yang}, Sci. China, Math. 66, No. 6, 1237--1262 (2023; Zbl 1519.35103) Full Text: DOI arXiv
Liu, Zhongyuan; Luo, Peng A new perturbation to a critical elliptic problem with a variable exponent. (English) Zbl 1514.35225 Sci. China, Math. 66, No. 5, 1021-1040 (2023). MSC: 35J91 35J05 35J25 35A01 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{P. Luo}, Sci. China, Math. 66, No. 5, 1021--1040 (2023; Zbl 1514.35225) Full Text: DOI
Guo, Qing; Guo, Yuxia; Peng, Shuangjie New existence of multi-spike solutions for the fractional Schrödinger equations. (English) Zbl 1514.35458 Sci. China, Math. 66, No. 5, 977-1002 (2023). MSC: 35R11 35B25 35J61 PDFBibTeX XMLCite \textit{Q. Guo} et al., Sci. China, Math. 66, No. 5, 977--1002 (2023; Zbl 1514.35458) Full Text: DOI
Li, Xiang; Yang, Minbo; Zhou, Xianmei Qualitative properties and classification of solutions to elliptic equations with Stein-Weiss type convolution part. (English) Zbl 1500.35156 Sci. China, Math. 65, No. 10, 2123-2150 (2022). MSC: 35J61 35B40 35B53 PDFBibTeX XMLCite \textit{X. Li} et al., Sci. China, Math. 65, No. 10, 2123--2150 (2022; Zbl 1500.35156) Full Text: DOI
Alves, Claudianor O.; Ji, Chao Multi-bump positive solutions for a logarithmic Schrödinger equation with deepening potential well. (English) Zbl 1497.35118 Sci. China, Math. 65, No. 8, 1577-1598 (2022). MSC: 35J10 35J61 35A01 35A15 PDFBibTeX XMLCite \textit{C. O. Alves} and \textit{C. Ji}, Sci. China, Math. 65, No. 8, 1577--1598 (2022; Zbl 1497.35118) Full Text: DOI arXiv
Yang, Jianfu; Yang, Jinge Normalized solutions and mass concentration for supercritical nonlinear Schrödinger equations. (English) Zbl 1497.35260 Sci. China, Math. 65, No. 7, 1383-1412 (2022). MSC: 35J91 35J15 35J20 PDFBibTeX XMLCite \textit{J. Yang} and \textit{J. Yang}, Sci. China, Math. 65, No. 7, 1383--1412 (2022; Zbl 1497.35260) Full Text: DOI arXiv
Chen, Lu; Lu, Guozhen; Zhu, Maochun A critical Trudinger-Moser inequality involving a degenerate potential and nonlinear Schrödinger equations. (English) Zbl 1468.35040 Sci. China, Math. 64, No. 7, 1391-1410 (2021). MSC: 35J10 35J91 35A01 35A15 PDFBibTeX XMLCite \textit{L. Chen} et al., Sci. China, Math. 64, No. 7, 1391--1410 (2021; Zbl 1468.35040) Full Text: DOI
Xu, Fei; Huang, Qiumei An accurate a posteriori error estimator for the Steklov eigenvalue problem and its applications. (English) Zbl 1471.65190 Sci. China, Math. 64, No. 3, 623-638 (2021). MSC: 65N25 65N30 65N55 65N50 65N15 35J61 PDFBibTeX XMLCite \textit{F. Xu} and \textit{Q. Huang}, Sci. China, Math. 64, No. 3, 623--638 (2021; Zbl 1471.65190) Full Text: DOI
Chen, Huyuan; Peng, Rui; Zhou, Feng Nonexistence of positive supersolutions to a class of semilinear elliptic equations and systems in an exterior domain. (English) Zbl 1448.35206 Sci. China, Math. 63, No. 7, 1307-1322 (2020). MSC: 35J61 35B09 PDFBibTeX XMLCite \textit{H. Chen} et al., Sci. China, Math. 63, No. 7, 1307--1322 (2020; Zbl 1448.35206) Full Text: DOI arXiv
Dai, Jun; Tang, Shanjian; Wu, Bingjie Interior gradient and Hessian estimates for the Dirichlet problem of semi-linear degenerate elliptic systems: a probabilistic approach. (English) Zbl 1430.35092 Sci. China, Math. 62, No. 10, 1851-1886 (2019). MSC: 35J61 35J70 PDFBibTeX XMLCite \textit{J. Dai} et al., Sci. China, Math. 62, No. 10, 1851--1886 (2019; Zbl 1430.35092) Full Text: DOI arXiv
Chan, Hardy; Wei, Juncheng On De Giorgi’s conjecture: recent progress and open problems. (English) Zbl 1402.35023 Sci. China, Math. 61, No. 11, 1925-1946 (2018). MSC: 35B08 35J61 35-02 PDFBibTeX XMLCite \textit{H. Chan} and \textit{J. Wei}, Sci. China, Math. 61, No. 11, 1925--1946 (2018; Zbl 1402.35023) Full Text: DOI
He, Qihan; Yang, Jing Quantitative properties of ground-states to an \(M\)-coupled system with critical exponent in \(\mathbb{R}^N\). (English) Zbl 1391.35157 Sci. China, Math. 61, No. 4, 709-726 (2018). MSC: 35J91 35J20 PDFBibTeX XMLCite \textit{Q. He} and \textit{J. Yang}, Sci. China, Math. 61, No. 4, 709--726 (2018; Zbl 1391.35157) Full Text: DOI
Chen, Guoyuan Singularly perturbed Neumann problem for fractional Schrödinger equations. (English) Zbl 1395.35013 Sci. China, Math. 61, No. 4, 695-708 (2018). Reviewer: Paolo Musolino (Padova) MSC: 35B25 35B38 35J61 35R11 35J25 PDFBibTeX XMLCite \textit{G. Chen}, Sci. China, Math. 61, No. 4, 695--708 (2018; Zbl 1395.35013) Full Text: DOI arXiv
He, QiHan; Luo, Xiao A positive solution of a nonlinear Schrödinger system with nonconstant potentials. (English) Zbl 1387.35137 Sci. China, Math. 60, No. 12, 2407-2420 (2017). MSC: 35J10 35J47 35J61 35B09 PDFBibTeX XMLCite \textit{Q. He} and \textit{X. Luo}, Sci. China, Math. 60, No. 12, 2407--2420 (2017; Zbl 1387.35137) Full Text: DOI
Liu, ZhongYuan Large number of bubble solutions for the equation \(\Delta u + K(y)u^{\frac{N + 2}{N - 2}\pm \varepsilon}=0\) on \(\mathbb{R}^N\). (English) Zbl 1346.35072 Sci. China, Math. 59, No. 3, 459-478 (2016). Reviewer: Christian Stinner (Darmstadt) MSC: 35J91 35J25 58E05 35B33 35B09 PDFBibTeX XMLCite \textit{Z. Liu}, Sci. China, Math. 59, No. 3, 459--478 (2016; Zbl 1346.35072) Full Text: DOI
Tang, Zhong Wei; Wang, Yan Li Least energy solutions for semilinear Schrödinger equation with electromagnetic fields and critical growth. (English) Zbl 1332.35119 Sci. China, Math. 58, No. 11, 2317-2328 (2015). MSC: 35J61 35J20 35Q60 PDFBibTeX XMLCite \textit{Z. W. Tang} and \textit{Y. L. Wang}, Sci. China, Math. 58, No. 11, 2317--2328 (2015; Zbl 1332.35119) Full Text: DOI
Guo, Zong Ming; Zhou, Feng Sub-harmonicity, monotonicity formula and finite Morse index solutions of an elliptic equation with negative exponent. (English) Zbl 1332.35104 Sci. China, Math. 58, No. 11, 2301-2316 (2015). MSC: 35J40 35B45 35J61 PDFBibTeX XMLCite \textit{Z. M. Guo} and \textit{F. Zhou}, Sci. China, Math. 58, No. 11, 2301--2316 (2015; Zbl 1332.35104) Full Text: DOI
Tang, XianHua Non-Nehari manifold method for asymptotically periodic Schrödinger equations. (English) Zbl 1321.35055 Sci. China, Math. 58, No. 4, 715-728 (2015). MSC: 35J61 35J20 PDFBibTeX XMLCite \textit{X. Tang}, Sci. China, Math. 58, No. 4, 715--728 (2015; Zbl 1321.35055) Full Text: DOI arXiv
Zhuo, Ran; Li, FengQuan Liouville type theorems for Schrödinger systems. (English) Zbl 1320.35116 Sci. China, Math. 58, No. 1, 179-196 (2015). MSC: 35B53 35B45 35J91 35R11 PDFBibTeX XMLCite \textit{R. Zhuo} and \textit{F. Li}, Sci. China, Math. 58, No. 1, 179--196 (2015; Zbl 1320.35116) Full Text: DOI
Huang, Genggeng A priori bounds for a class of semi-linear degenerate elliptic equations. (English) Zbl 1304.35242 Sci. China, Math. 57, No. 9, 1911-1926 (2014). MSC: 35J15 35J61 35J70 PDFBibTeX XMLCite \textit{G. Huang}, Sci. China, Math. 57, No. 9, 1911--1926 (2014; Zbl 1304.35242) Full Text: DOI arXiv
Kang, DongSheng; Peng, ShuangJie Infinitely many solutions to elliptic systems with critical exponents and Hardy potentials. (English) Zbl 1261.35021 Sci. China, Math. 55, No. 10, 2027-2044 (2012). MSC: 35B33 35J61 35J57 35J20 PDFBibTeX XMLCite \textit{D. Kang} and \textit{S. Peng}, Sci. China, Math. 55, No. 10, 2027--2044 (2012; Zbl 1261.35021) Full Text: DOI
Jin, Lingyu; Deng, Yinbin A global compact result for a semilinear elliptic problem with Hardy potential and critical non-linearities on \(\mathbb R^N\). (English) Zbl 1187.35087 Sci. China, Math. 53, No. 2, 385-400 (2010). MSC: 35J61 35J10 35J20 35J91 PDFBibTeX XMLCite \textit{L. Jin} and \textit{Y. Deng}, Sci. China, Math. 53, No. 2, 385--400 (2010; Zbl 1187.35087) Full Text: DOI