田谷基 主要论文:
1.Guji,Tian#* and Chao-Jiang Xu, “Existence and convexity of local solutions to degenerate Hessian equations." Journal of Differential Equations,264.10(2018),6025-6060
2.G.Tian#, W. Qi*, and X. U. Chao-Jiang. "Local solvability of the k-Hessian equations." Science China Mathematics 59.9(2016):1753-1768.
3.G.Tian#, Q. Wang, and C. J. Xu*. C^\infty local solutions of elliptical 2-Hessian equation in R^3." Discrete & Continuous Dynamical Systems - Series A (DCDS-A) 36.2(2016):1023-1039.
4.Minyou and Tian Guji: Heisenberg’s inequality in Sobolev space. Acta. Math. Scientia (Series B) 20(1), 122-130(2000).
5.Tian Guji:Commutator in abstract Heisenberg’s Inequality.J. of Math. (PRC). Vol.20, No.1, 1-7(2000).
6.Tian Guji: Heisenberg’s inequality and logarithmic Heisenberg’s inequality for ambiguity function. J. Partial Diff. Eqs.13,207-216(2000).
7.Tian Guji: Poisson Bracket on Planck scale Hopf algebra.J. of Math.(PRC),Vol.24,No.4,355-360(2004).
8.Gu-Ji Tian and Xu-Jia Wang: A class of Sobolev inequalities. Methods and Applications of Analysis, Vol. 15, No. 2, pp. 257–270, 2008.
9.Guji Tian and Xu-Jia Wang,A Priori Estimates for Fully Nonlinear Parabolic Equations。 Int Math Res Notices rns169 ,first published online July 4, 2012 doi:10.1093/imrn/rns169.
10.Guji Tian and Xu-Jia Wang,A Perturbation Method for Elliptic and Parabolic Equations. Differential Geometry, ALM22, pp. 231-252,2012.
11.Guji Tian and Xu-Jia Wang,Partial regularity for elliptic equations. Discrete and continuous Dynamical Systems, Pages: 899 - 913, Volume 28, Issue 3, November 2010.
12.Guji Tian and Xu-Jia Wang,Moser-Trudinger type inequalities for the Hessian equations. Journal of Functional Analysis, Volume 259, Issue 8, 15 October 2010, Pages 1974–2002.
13.Guji Tian and Xu-Jia Wang,Aclass of Sobolev type inequalities.Methods Appl. Anal. Volume 15, Number 2 (2008), 263-276.
14.Guji Tian and Xu-Jia Wang,A priori estimates for fully nonlinear parabolic equations, International Mathematics Research, 17 (2013):3857-3877
杨文 主要论文:
1.A.Jevnikar,J.C.Wei and W.Yang,Classification of blowup limits for sinh-Gordon equation,Differential and Integral Equations,31(2018),no.9-10,657-684.
2.J.Wang and W.Yang, Normalized solutions and asymptotical behavior of minimizer for the coupled Hartree equations, Journal of Differential Equations,265(2018),no.2,501-544.
3.A.Jevnikar,J.C.Wei and W.Yang,On the topological degree of the Mean field quation with two parameters, Indiana Univ. Math. Journal,67(2018),no.1,29-88.
4.Y.Lee, C.S.Lin,J.C.Wei and W.Yang,Degree counting and shadow system for Toda system of rank two: one bubbling, J. Differential Equations,264 (2018),no.7,4343-4401.
5.C.S. Lin, J. C. Wei,W.Yang and L.Zhang,On Rank Two Toda System with Arbitrary Singularities: Local Mass and New Estimates, Analysis PDE,11 (2018),no.4,873-898.
6.Y.Lee,C.S. Lin, G.Tarantello and W.Yang,Sharp estimates for solutions of mean field equation with collapsing singularity, Comm. Part. Diff. Eqns.,42(2017),no.10,1549-1597.
7.J.C.Wei,M.Winter and W.Yang},it Stable spike clusters for precursor Gierer-Meinhardt system in $R^2$,Calc. Var. and PDEs,(2017)56:142.
8.A Jevnikar and W.Yang,Analytic aspects of the Tzitzéica equation: blow-up analysis and existence results,Calc. Var. and PDEs,(2017),56,no.2.
9.W.W. Ao,J.C. Wei and W.Yang,Infinitely many solutions to a fractional Schr dinger equation with non-symmetric potentials,Discrete Contin.Dyn.Syst.,37(2017),no.11,5561-5601.
10.Z.M.Guo,J.C. Wei and W.Yang,On non-radial singular solutions of supercritical bi-harmonic equations, Pacific Journal of Mathematics,284(2016),no.2,395-430.
11.T. Kolokolnikov, J.C. Wei and W.Yang,On large ring solutions for Gierer-Meinhardt system in R3,J.Differential Equations,255(2013),no.7,1408-1436.
12.J.C. Wei, X.W. Xu and W.Yang,On the classification of stable solutions to biharmonic problems in large dimensions,Pacific Journal of Mathematics,263(2013),no.2,495-512.