Publications and Prepints



[1] C. Gui, Positive entire solutions of the equation $\Delta u +f(x,u)=0$, {\it Journal of Differential Equations, {\bf 99}, pp 245-280 (1992)

[2] C. Gui, W.M. Ni and X. Wang, On the stability and instability of positive steady states of a semilinear heat equation in $ R^n $, {\it Communications on Pure and Applied Mathematics, {\bf 45}, pp 1153-1181 (1992)}

[3] C. Gui and X. Wang, Life span of solutions of the Cauchy problem for a semilinear heat equation, {\it Journal of Differential Equations, {\bf 115}, pp 166-172 (1995)}

[4] C. Gui and F.H. Lin, Regularity of an elliptic problem with a singular nonlinearity, {\it Procedings of Royal Society of Edinburgh (Section A), 123A, pp 1021-1029 (1993)}

[5] C. Gui and y. Lou, Uniqueness and Nonuniqueness of coexistence states in the Lotka-Volterra competition model, { \it Communications on Pure and Applied Mathematics, {\bf 47}, pp 1571-1594(1994)}

[6] C. Gui, On the Lotka-Volterra competition model in symmetric domains, {\it Differential and Integral Equations, {\bf 8}, pp 2079-2096 (1995)}

[7] C. Gui, On positive entire solutions of the elliptic equation $ \Delta u+ K(x) u^p=0$ and its applications to Riemannian geometry, {\it Procedings of Royal Society of Edinburgh (Section A), {\bf 126A}, pp 225-237 (1996).}

[8] C. Gui and X. Wang, The critical asymptotics of scalar curvature of the conformal complete metrics with negative curvature , {\it Duke Mathematical Journal, {\bf 76}, pp 293-302 (1994)}

[9] C. Gui, Symmetry of the blow up set of a porous medium type equation, {\it Communications on Pure and Applied Mathematics, {\bf 48}, pp 471-500 (1995).}

[10] L. Bronsard, C. Gui and M. Schatzman, A three layered solution in $R^2$ for a variational problem with a symmetric three well potential ( with Lia Bronsard and Michelle Schatzman), {\it Communications on Pure and Applied Mathematics, {\bf 49}, pp 677-715 (1996). }

[11] C. Gui, Existence of multi-bump solutions for nonlinear Schr\"odinger equations via variational method, {\it Communications in Partial Differential Equations, {\bf 21}, pp 787-820 (1996).}

[12] C. Gui, Multi-bump solutions for nonlinear Schr\"odinger equations, {\it C.R. Acad. Sc. Paris, {\bf 322}, Serie I, pp 133-138, (1996).}

[13] C. Gui, Multi-peak solutions for a semilinear Neumann problem, Duke Mathematical Journal, {\bf 84}, pp 739-769, (1996).

[14] R.Froese, J. Feldman, N. Ghoussoub and C. Gui, An improved Moser-Aubin-Onofri inequality for radially symmetric functions on $S^2$, Calculus of Variation and PDE, 6, 95-104 (1998).

[15] S. Alama, L. Bronsard and C. Gui, Stationary layered solutions in $R^2$ for an Allen-Cahn systems with multiple-well potentials, Calculus of Variation and PDE, %, 359-390 (1997).

[16] C. Gui and N. Ghoussoub, Multi-peak solutions for a semilinear Neumann problem involving Sobolev critical exponent, Math Z., 229, 443-474 (1998).



[17] N. Ghoussoub and C. Gui, On a conjecture of De Giorgi and related problems, Math Ann., 311, 481-491(1998).

[18] Changfeng Gui, Jucheng Wei and Matthew Winter, Multiple boundary peak solutions for some singularly perturbed Neumann problems , {\it Ann. Inst. H. Poincare, Analyse Nonlin\'eaire. {\bf 17}, pp 47-82 (2000)}

[19] Changfeng Gui and Juncheng Wei, Multiple interior peak solutions for some singularly perturbed Neumann problems, {\it J. Diff. Eqns., {\bf 158}, 1-27 (1999) }

[20] Changfeng Gui and Nassif Ghousssoub, On a conjecture of De Giorgi and related problems , {\it Math. Ann., {\bf 311}, 481-491(1998) }

[21] Changfeng Gui and Juncheng Wei, On a sharp Moser-Aubin-Onofri inequality on for functions on $S^2$ with symmetry, {\it Pacific Journal of Mathematics, {\bf 194}, pp 349-358 (2000)}

[22] Changfeng Gui and Juncheng Wei, Multiple mixed boundary and interior peak solutions for some singularly perturbed Neumann problems , {\it Canadian Journal of Mathematics, {\bf 52}, pp 522-538 (2000)}

[23] Martin Barlow, Rich Bass and Changfeng Gui, The Liouville property and a conjecture of de Giorgi, {\it Comm. Pure Appl. Math, {\bf Vol. 53}, pp1007-1038 (2000)}

[24] Changfeng Gui, Wei-Ming Ni and Xuefeng Wang, Further study on a nonlinear hear equation , {\it J. Diff. Eqns, {\bf Vol 169}, pp588-613 (2001)}

[25] Changfeng Gui, Nassif Ghoussoub and Meijun Zhu, On a singularly perturbed problem with the critical exponent , {\it Comm. Partial Differential Equations 26 (2001), no. 11-12, 1929--1946. }

[26] Changfeng Gui and Chang-Shou Lin, Estimates for boundary-bubbling solutions to an elliptic Neumann problem, {\it Journal Reine Angew. Math. {\bf Vol 546} (2002), pp 201--235}

[27] Changfeng Gui and Nassif Ghoussoub, On De Giorgi's conjecture in dimensions 4 and 5, {\it Annals of Mathematics {\bf 157} (2003), pp 313--334}

[28] Changfeng Gui, On some problems related to De Giorgi's conjecture, {\it Communications on Pure and Applied Analysis {\bf 2} (2003), pp101--106}

[29] Changfeng Gui, Recent progress on De Giorgi's conjecture, {\it Pacific Institute Magazine } {\bf 7} (2003), pp26-29

[30] Changfeng Gui and Xiaosong Kang, Localization for a porous medium type equation in high dimensions, {\it Transactions of American Math Society {\bf 356} (2004), pp 4273--4285}

[31] Chunming Li, Chenyang Xu, Changfeng Gui and Martin Fox, Level set evolution without re-initialization: a new variational formulation, IEEE International Conference on Computer Vision and Pattern Recognition (CVPR), pp.430-436, San Diego, 2005.

[32] Changfeng Gui and Zhenbu zhang, Spike solutions to a nonlocal differential equation, {\it Communications on Pure and Applied Analysis, {\bf 5} (2006), pp. 85-95.}

[33] Changfeng Gui and Michelle Schatzman, Symmetric quadruple phase transitions, {\it Indiana University Mathematical Journal}, to appear ;

[34] Terry Jay Jones, Roberta M. Humphreys, L. Andrew Helton, Changfeng Gui and Xiang Huang, The 3D Morphology of VY Canis Majoris II: Polarimetry and the Line-of-Sight Distribution of the Ejecta 1, {\it Astronomical Journal}, to appear;

[35] Chunming Li, Chenyang Xu, Changfeng Gui and Martin Fox, Distance preserving level set evolution, preprint.

[36] Changfeng Gui, Hamiltonian Identities for elliptic partial differential equations, submitted;