L. Cao, Y. Meng, Radial symmetry and Liouville theorem for Schr\odinger system involving the fully nonlinear nonlocal operators, Submitted (2025) L. Cao, Y. Meng, Radial symmetry of solutions to fully nonlinear Choquard equations, Submitted (2025) Z. Dai, L. Cao, X. Kang, Maximal principles with applications to symmetry for the logarithmic Schr\{o}dinger operator, to appear in Applicable Analysis (2025). SCI L. Fan, L. Cao, P. Zhao，Hopf's lemma for parabolic equations involving a generalized tempered fractional p-Laplacian，Adv. Nonlinear Stud., (2025). SCI L. Cao, X. Kang, Z. Dai, Symmetry and monotonicity of positive solutions for Choquard equation involving logarithmic Laplacian operator, J. Fixed Point Theory Appl., (2024) 26:36. SCI X. Wang, L. Cao, Gradient estimates for a nonlinear elliptic equation on a smooth metric measure space, Commun. Math. , 32 (2024), 1:149–156. L. Fan, L. Cao, P. Zhao, Symmetry and monotonicity of positive solutions for Choquard equations involving a generalized tempered fractional p-Laplacian in R^n, Fract. Calc. Appl. Anal., 26 (2023), 6: 2757–2773. SCI L. Cao, L. Fan, Symmetry and monotonicity of positive solutions for a system involving fractional p&q-Laplacian in a ball, Complex Var. Elliptic Equ., 68 (2023), 4: 667–679. SCI L. Cao, L. Fan, Symmetry and monotonicity of positive solutions for a system involving fractional p&q-Laplacian in Rn, Anal. Math. Phys., 12, (2022), 2: No. 42, 15 pp . SCI L. Cao, X. Wang, Radial symmetry of positive solutions to a class of fractional Laplacian with a singular nonlinearity, J. Korean Math. Soc., 58, (2021), 6: 1449–1460 . SCI L. Cao,X. Wang, Z. Dai, Radial Symmetry and Monotonicity of Solutions to a System Involving Fractional p-Laplacian in a Ball, Adv. Math. Phys., 2018, ID: 1565731, 6pp. SCI Z. Dai, L. Cao, P. Wang, Liouville type theorems for the system of fractional nonlinear equations in R-+(n),J. Inequal. Appl., 2016, No. 267, 17 pp. SCI P. Wang, Z. Dai, L. Cao, Radial symmetry and monotonicity for fractional Henon equation in R-n, Complex Var. Elliptic Equ., 2015: 60 , 1685-1695. SCI L. Cao, Z. Dai, W. Li, Liouville-type theorem for some nonlinear systems in a half-space, J. Inequal. Appl., 2014, 173, 9pp. SCI L. Cao, Z. Dai, Symmetry and nonexistence of positive solutions for weighted HLS system of integral equations on a half space, Abstr. Appl. Anal., 2014, ID 593210, 7pp. SCI Y. Liu, L. Cao, Lifespan theorem and gap lemma for the globally constranit Willmore flow, Commu. Pure Appl. Anal., 2 (2014), 13: 715-728. SCI R. Xu, L. Cao, Bernstein properties for α-complete hypersurfaces, J. Inequal. Appl., 2014, 159, 9pp. SCI R. Xu, L. Cao, Complete self-shrinking solutions for Lagrangian mean curvature flow in pseudo-Euclidean space, Abstr. Appl. Anal., 2014, ID 196751, 9pp. SCI L. Cao, G. Xu, Z. Dai, A new characterization of totally umbilical hypersurfaces in de Sitterspace, Adv., Pure Math., 2014, 4: 42-46. X.Qi, L. Cao, X. Li, New hyper-Kahler structures on tangent bundles, Commu. Math., 22 (2014): 13-30. L. Cao, W. Chen, Liouville type theorems for poly-harmonic Navier problems, Disc. Cont. Dyna. Syst., 33 (2013), 9: 3937–3955. SCI L. Cao, Z. Dai, A Liouville-type theorem for an integral system on a half-space R^n_+, J. Ineq. Appl., 2013: 37, 9pp. SCI L. Cao, Z. Dai, Regularity of solutions to an integral equation on a half-space R^n_+, Adv. Pure Math., 3(2013), 153-158. L. Cao, Z. Dai, A Liouville-type theorem for an integral equation on a half-space R^n_+ , J. Math. Anal. Appl., 389 (2012), 1365-1373. SCI G. Huang, X. Li, L. Cao, Universal bounds on eigenvalues of the buckling problem on spherical domains, J. Math., 31(2011), 5: 840-847. F. Wu, L. Cao, Estimates for eigenvalues of Laplacian operator with any order. Sci. in China，Series A, 50(2007), 1078-1086. SCI L. Cao, H. Li, r-minimal submanifolds in space forms, Ann. Glob. Anal. Geom., 2007, 32: 311-341. SCI L. Cao, G. Wei, A new characterization of hyperbolic cylinder in anti-de Sitter space $H^{n+1}(-1)$, J. Math. Anal. Appl., 2007, 329: 408-414. SCI X.，Li, L. Cao，The Uniqueness and Nonexistance Results for Some Nonlinear Partial Equations on Riemannian Manifolds，Chin.Quart. J. Math.，22, 2007, 3: 344-351. L. Cao, H. Li, Variational Problems in Geometry of Submanifolds, Proc. 11th Inter. Works. Differ. Geom., Kyungpook National University, Korea, 2006.11, 41-71. L. Cao, H. Li, A variational formula in terms of $r-$th mean curvature function for submanifolds in space form, Differ. Geom. Methods Appl., Northeastern University，Shenyang, 2006.9, 1-27. X. Li, L. Cao，Some results on instability of Yang-Mills fields on submanifolds in Euclidean spaces and standard spheres, J. Math. Res. Exposition, 24 (2004), 3: 461–472. |
