Edit Profile (opens in new tab) Gui, Changfeng Co-Author Distance Author ID: gui.changfeng Published as: Gui, Changfeng; Gui, C. Documents Indexed: 94 Publications since 1992, including 5 Additional arXiv Preprints Co-Authors: 72 Co-Authors with 81 Joint Publications 2,689 Co-Co-Authors all top 5 Co-Authors 13 single-authored 10 Hu, Yeyao 9 Du, Zhuoran 8 Wei, Juncheng 7 Li, QinFeng 7 Moradifam, Amir 6 Ghoussoub, Nassif A. 4 Wang, Xuefeng 4 Zhao, Mingfeng 3 Jevnikar, Aleks Yang Wen 3 Wang, Kelei 3 Xie, Weihong 2 Bang, Jeaheang 2 Bartolucci, Daniele 2 Bronsard, Lia 2 Chen, Hongbin 2 Chen, Pengwen 2 Cheng, Ze 2 Guo, Hui 2 Hang, Fengbo 2 Liu, Yong 2 Ni, Wei-Ming 2 Schatzman, Michelle 2 Wang, Yun 2 Xie, Chunjing 2 Yao, Ruofei 2 Zhou, Feng 1 Alama, Stan 1 Alessio, Francesca G. 1 Barlow, Martin T. 1 Bass, Richard F. 1 Chang, Sun-Yung Alice 1 Coville, Jerome 1 Du, Yihong 1 Eremenko, Alexandre Émmanuilovich 1 Fang, Yanqin 1 Fazly, Mostafa 1 Feldman, Joel S. 1 Fox, Martin D. 1 Froese, Richard 1 Gu, Guangze 1 Guo, Hongxia 1 Huan, Tingting 1 Jian, Huai-Yu 1 Jin, Jiaming 1 Ju, Hongjie 1 Kang, Xiaosong 1 Li, Chunming 1 Li, Tuoxin 1 Li, Yuan 1 Lin, Chang-Shou 1 Lin, Fang Hua 1 Lin, Ping 1 Lou, Yuan 1 Luo, Xue 1 Malchiodi, Andrea 1 Min, Lihua 1 Montecchiari, Piero 1 Sire, Yannick 1 Wang, Xiaodong 1 Wei, Jucheng 1 Winter, Matthias 1 Xu, Chenyang 1 Xu, Haoyuan 1 Xu, Lu 1 Yang, Wen 1 Yang, Xiaoping 1 Ye, Zikai 1 Zhang, Fang 1 Zhang, Jie 1 Zhang, Zhenbu 1 Zhou, Maolin 1 Zhu, Meijun all top 5 Serials 8 Journal of Differential Equations 7 Communications on Pure and Applied Mathematics 6 Calculus of Variations and Partial Differential Equations 4 Proceedings of the American Mathematical Society 3 Indiana University Mathematics Journal 3 Journal of Functional Analysis 3 Communications in Partial Differential Equations 3 Discrete and Continuous Dynamical Systems 2 Advances in Mathematics 2 Duke Mathematical Journal 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Transactions of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 IMRN. International Mathematics Research Notices 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Methods and Applications of Analysis 2 Communications in Contemporary Mathematics 2 Advanced Nonlinear Studies 2 Communications on Pure and Applied Analysis 2 Analysis in Theory and Applications 1 Archive for Rational Mechanics and Analysis 1 IMA Journal of Applied Mathematics 1 Nonlinearity 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Inventiones Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Pacific Journal of Mathematics 1 Revista Matemática Iberoamericana 1 Differential and Integral Equations 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Computational Optimization and Applications 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Mathematical Study 1 Annals of Mathematics. Second Series 1 IEEE Transactions on Image Processing 1 Journal of Fixed Point Theory and Applications 1 Frontiers of Mathematics in China 1 Inverse Problems and Imaging 1 Advances in Calculus of Variations 1 Science China. Mathematics 1 Scientia Sinica. Mathematica all top 5 Fields 78 Partial differential equations (35-XX) 12 Differential geometry (53-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Integral equations (45-XX) 5 Operator theory (47-XX) 3 Real functions (26-XX) 3 Measure and integration (28-XX) 3 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 79 Publications have been cited 1,863 times in 1,151 Documents Cited by ▼ Year ▼ On a conjecture of De Giorgi and some related problems. Zbl 0918.35046 Ghoussoub, N.; Gui, C. 172 1998 Multiple interior peak solutions for some singularly perturbed Neumann problems. Zbl 1061.35502 Gui, Changfeng; Wei, Juncheng 146 1999 Existence of multi-bump solutions for nonlinear Schrödinger equations via variational method. Zbl 0857.35116 Gui, Changfeng 125 1996 On the stability and instability of positive steady states of a semilinear heat equation in \(\mathbb{R}^ n\). Zbl 0811.35048 Gui, Changfeng; Ni, Wei-Ming; Wang, Xuefeng 124 1992 Multiple boundary peak solutions for some singularly perturbed Neumann problems. Zbl 0944.35020 Gui, Changfeng; Wei, Juncheng; Winter, Matthias 99 2000 On multiple mixed interior and boundary peak solutions for some singularly perturbed Neumann problems. Zbl 0949.35052 Gui, Changfeng; Wei, Juncheng 93 2000 Multipeak solutions for a semilinear Neumann problem. Zbl 0866.35039 Gui, Changfeng 84 1996 Distance regularized level set evolution and its application to image segmentation. Zbl 1371.94226 Li, Chunming; Xu, Chenyang; Gui, Changfeng; Fox, Martin D. 77 2010 Stationary layered solutions in \(\mathbb{R}^ 2\) for an Allen-Cahn system with multiple well potential. Zbl 0883.35036 Alama, Stanley; Bronsard, Lia; Gui, Changfeng 71 1997 The Liouville property and a conjecture of De Giorgi. Zbl 1072.35526 Barlow, Martin T.; Bass, Richard F.; Gui, Changfeng 70 2000 Regularity of an elliptic problem with a singular nonlinearity. Zbl 0805.35032 Gui, Changfeng; Lin, Fang Hua 66 1993 Further study on a nonlinear heat equation. Zbl 0974.35056 Gui, Changfeng; Ni, Wei-Ming; Wang, Xuefeng 49 2001 Uniqueness and nonuniqueness of coexistence states in the Lotka-Volterra competition model. Zbl 0829.92015 Gui, Changfeng; Lou, Yuan 49 1994 Multi-peak solutions for a semilinear Neumann problem involving the critical Sobolev exponent. Zbl 0955.35024 Gui, Changfeng; Ghoussoub, Nassif 45 1998 On De Giorgi’s conjecture in dimensions 4 and 5. Zbl 1165.35367 Ghoussoub, Nassif; Gui, Changfeng 39 2003 A three-layered minimizer in \(\mathbb{R}^ 2\) for a variational problem with a symmetric three-well potential. Zbl 0855.35035 Bronsard, Lia; Gui, Changfeng; Schatzman, Michelle 35 1996 Hamiltonian identities for elliptic partial differential equations. Zbl 1148.35023 Gui, Changfeng 34 2008 Life span of solutions of the Cauchy problem for a semilinear heat equation. Zbl 0813.35034 Gui, Changfeng; Wang, Xuefeng 33 1995 Symmetric quadruple phase transitions. Zbl 1185.35080 Gui, Changfeng; Schatzman, Michelle 28 2008 Symmetry of traveling wave solutions to the Allen-Cahn equation in \({\mathbb R^{2}}\). Zbl 1256.35008 Gui, Changfeng 27 2012 Traveling wave solutions of Allen-Cahn equation with a fractional Laplacian. Zbl 1326.35068 Gui, Changfeng; Zhao, Mingfeng 26 2015 The sphere covering inequality and its applications. Zbl 1410.53037 Gui, Changfeng; Moradifam, Amir 26 2018 Estimates for boundary-bubbling solutions to an elliptic Neumann problem. Zbl 1136.35380 Gui, Changfeng; Lin, Chang-Shou 24 2002 On nodal solutions of the nonlinear Choquard equation. Zbl 1427.35051 Gui, Changfeng; Guo, Hui 21 2019 On positive entire solutions of the elliptic equation \(\Delta u + K(x)u^ p = 0\) and its applications to Riemannian geometry. Zbl 0861.35025 Gui, Changfeng 20 1996 Positive entire solutions of the equation \(\Delta{}u+f(x,u)=0\). Zbl 0754.35017 Gui, Changfeng 18 1992 Symmetry of some entire solutions to the Allen-Cahn equation in two dimensions. Zbl 1250.35078 Gui, Changfeng 18 2012 Symmetry of the blow-up set of a porous medium type equation. Zbl 0827.35014 Gui, Changfeng 16 1995 Traveling wave solutions to some reaction diffusion equations with fractional Laplacians. Zbl 1326.35067 Gui, Changfeng; Huan, Tingting 15 2015 On a singularly perturbed Neumann problem with the critical exponent. Zbl 0997.35021 Ghoussoub, Nassif; Gui, Changfeng; Zhu, Meijun 14 2001 Uniqueness of solutions of mean field equations in \(R^2\). Zbl 1387.35011 Gui, Changfeng; Moradifam, Amir 13 2018 Interior layers for an inhomogeneous Allen-Cahn equation. Zbl 1194.35192 Du, Zhuoran; Gui, Changfeng 13 2010 Axial symmetry of some steady state solutions to nonlinear Schrödinger equations. Zbl 1211.35115 Gui, Changfeng; Malchiodi, Andrea; Xu, Haoyuan 13 2011 Properties of translating solutions to mean curvature flow. Zbl 1193.35085 Gui, Changfeng; Jian, Huaiyu; Ju, Hongjie 13 2010 On a sharp Moser-Aubin-Onofri inequality for functions on \(S^ 2\) with symmetry. Zbl 1057.53026 Gui, Changfeng; Wei, Juncheng 9 2000 Periodic solutions of a semilinear elliptic equation with a fractional Laplacian. Zbl 1366.35042 Gui, Changfeng; Zhang, Jie; Du, Zhuoran 9 2017 Localization for a porous medium type equation in high dimensions. Zbl 1060.35059 Gui, Changfeng; Kang, Xiaosong 9 2004 A singular sphere covering inequality: uniqueness and symmetry of solutions to singular Liouville-type equations. Zbl 1426.35127 Bartolucci, Daniele; Gui, Changfeng; Jevnikar, Aleks; Moradifam, Amir 8 2019 Asymptotic behavior of oscillating radial solutions to certain nonlinear equations. Zbl 1221.35147 Gui, Changfeng; Zhou, Feng 8 2008 Symmetry and uniqueness of solutions to some Liouville-type equations and systems. Zbl 1391.35156 Gui, Changfeng; Jevnikar, Aleks; Moradifam, Amir 7 2018 An improved Moser-Aubin-Onofri inequality for axially symmetric functions on \(S^2\). Zbl 0905.53026 Feldman, J.; Froese, R.; Ghoussoub, N.; Gui, C. 6 1998 Symmetry of solutions of a mean field equation on flat tori. Zbl 1432.58006 Gui, Changfeng; Moradifam, Amir 6 2019 Layered solutions for a fractional inhomogeneous Allen-Cahn equation. Zbl 1359.35213 Du, Zhuoran; Gui, Changfeng; Sire, Yannick; Wei, Juncheng 6 2016 Asymptotic behavior of oscillating radial solutions to certain nonlinear equations. II. Zbl 1214.34030 Gui, Changfeng; Luo, Xue; Zhou, Feng 6 2009 Some energy estimates for stable solutions to fractional Allen-Cahn equations. Zbl 1431.35227 Gui, Changfeng; Li, Qinfeng 6 2020 On variational characterization of four-end solutions of the Allen-Cahn equation in the plane. Zbl 1350.35076 Gui, Changfeng; Liu, Yong; Wei, Juncheng 5 2016 Further study on periodic solutions of elliptic equations with a fractional Laplacian. Zbl 1436.35172 Du, Zhuoran; Gui, Changfeng 5 2020 Saddle solutions to Allen-Cahn equations in doubly periodic media. Zbl 1380.35099 Alessio, Francesca; Gui, Changfeng; Montecchiari, Piero 5 2016 Two-end solutions to the Allen-Cahn equation in \(\mathbb{R}^3\). Zbl 1386.35120 Gui, Changfeng; Liu, Yong; Wei, Juncheng 4 2017 Nodal solutions of a nonlocal Choquard equation in a bounded domain. Zbl 1464.35081 Gui, Changfeng; Guo, Hui 4 2021 Existence of solutions to the supercritical Hardy-Littlewood-Sobolev system with fractional Laplacians. Zbl 1407.35202 Cheng, Ze; Gui, Changfeng; Hu, Yeyao 3 2019 Multi-bump solutions for nonlinear Schrödinger equations. Zbl 0839.35038 Gui, Changfeng 3 1996 Some geometric inequalities related to Liouville equation. Zbl 1525.35131 Gui, Changfeng; Li, Qinfeng 3 2023 The sphere covering inequality and its dual. Zbl 1455.35305 Gui, Changfeng; Hang, Fengbo; Moradifam, Amir 3 2020 Entropy estimates and large-time behavior of solutions to a fourth-order nonlinear degenerate equation. Zbl 1273.35153 Min, Lihua; Yang, Xiaoping; Gui, Changfeng 2 2013 A sharp inequality on the exponentiation of functions on the sphere. Zbl 07748345 Chang, Sun-Yung Alice; Gui, Changfeng 2 2023 New variational principles and multi-peak solutions for Neumann problems involving the critical Sobolev exponent. Zbl 1205.58008 Ghoussoub, Nassif; Gui, Changfeng 2 1996 Linear convergence analysis of the use of gradient projection methods on total variation problems. Zbl 1290.90070 Chen, Pengwen; Gui, Changfeng 2 2013 Axially symmetric solutions of the Allen-Cahn equation with finite Morse index. Zbl 1440.35165 Gui, Changfeng; Wang, Kelei; Wei, Jucheng 2 2020 Non-axially symmetric solutions of a mean field equation on \(\mathbb{S}^2\). Zbl 1471.35143 Gui, Changfeng; Hu, Yeyao 2 2021 Periodic solutions of Allen-Cahn system with the fractional Laplacian. Zbl 1455.34042 Du, Zhuoran; Gui, Changfeng 2 2020 The critical asymptotics of scalar curvatures of the conformal complete metrics with negative curvature. Zbl 0820.53046 Gui, Changfeng; Wang, Xuefeng 1 1994 Symmetry of entire solutions to the Allen-Cahn equation. Zbl 1333.35019 Gui, Changfeng; Zhang, Fang 1 2015 A class of degenerate elliptic equations with nonlinear boundary conditions – WITHDRAWAL. Zbl 1453.35098 Du, Zhuoran; Fang, Yanqin; Gui, Changfeng 1 2019 Extensions and traces of BV functions in rough domains and generalized Cheeger sets. Zbl 1528.28009 Gui, Changfeng; Hu, Yeyao; Li, Qinfeng 1 2023 Completion of \({\mathbb{R}^2}\) with a conformal metric as a closed surface. Zbl 1488.35024 Gui, Changfeng; Li, Qinfeng 1 2021 Propagation acceleration in reaction diffusion equations with anomalous diffusions. Zbl 1459.35068 Coville, Jérôme; Gui, Changfeng; Zhao, Mingfeng 1 2021 Semi-waves with \(\Lambda\)-shaped free boundary for nonlinear Stefan problems: existence. Zbl 1461.35249 Du, Yihong; Gui, Changfeng; Wang, Kelei; Zhou, Maolin 1 2021 Blow-up solutions for a mean field equation on a flat torus. Zbl 1440.35128 Cheng, Ze; Gui, Changfeng; Hu, Yeyao 1 2020 Hamiltonian constants for several new entire solutions. Zbl 1158.35034 Gui, Changfeng 1 2008 On nonlocal systems with jump processes of finite range and with decays. Zbl 1440.35105 Fazly, Mostafa; Gui, Changfeng 1 2020 Multiple non-axially solutions to a mean field equation on \({\mathrm{S}}^2\). Zbl 1463.35042 Du, Zhuoran; Gui, Changfeng; Jin, Jiaming; Li, Yuan 1 2020 On some problems related to De Giorgi’s conjecture. Zbl 1146.35355 Gui, Changfeng 1 2003 Remarks on a mean field equation on \(\mathbb{S}^2\). Zbl 1474.35316 Gui, Changfeng; Hang, Fengbo; Moradifam, Amir; Wang, Xiaodong 1 2021 Multiple solutions and their asymptotics for laminar flows through a porous channel with different permeabilities. Zbl 1457.76162 Guo, Hongxia; Gui, Changfeng; Lin, Ping; Zhao, Mingfeng 1 2020 On smooth interior approximation of sets of finite perimeter. Zbl 07660705 Gui, Changfeng; Hu, Yeyao; Li, Qinfeng 1 2023 Improved Beckner’s inequality for axially symmetric functions on \(\mathbb{S}^n\). Zbl 1481.35156 Gui, Changfeng; Hu, Yeyao; Xie, Weihong 1 2022 Uniqueness and symmetry for the mean field equation on arbitrary flat tori. Zbl 1481.35134 Gu, Guangze; Gui, Changfeng; Hu, Yeyao; Li, Qinfeng 1 2021 Symmetry of positive solutions of elliptic equations with mixed boundary conditions in a super-spherical sector. Zbl 1473.35247 Yao, Ruofei; Chen, Hongbin; Gui, Changfeng 1 2021 Some geometric inequalities related to Liouville equation. Zbl 1525.35131 Gui, Changfeng; Li, Qinfeng 3 2023 A sharp inequality on the exponentiation of functions on the sphere. Zbl 07748345 Chang, Sun-Yung Alice; Gui, Changfeng 2 2023 Extensions and traces of BV functions in rough domains and generalized Cheeger sets. Zbl 1528.28009 Gui, Changfeng; Hu, Yeyao; Li, Qinfeng 1 2023 On smooth interior approximation of sets of finite perimeter. Zbl 07660705 Gui, Changfeng; Hu, Yeyao; Li, Qinfeng 1 2023 Improved Beckner’s inequality for axially symmetric functions on \(\mathbb{S}^n\). Zbl 1481.35156 Gui, Changfeng; Hu, Yeyao; Xie, Weihong 1 2022 Nodal solutions of a nonlocal Choquard equation in a bounded domain. Zbl 1464.35081 Gui, Changfeng; Guo, Hui 4 2021 Non-axially symmetric solutions of a mean field equation on \(\mathbb{S}^2\). Zbl 1471.35143 Gui, Changfeng; Hu, Yeyao 2 2021 Completion of \({\mathbb{R}^2}\) with a conformal metric as a closed surface. Zbl 1488.35024 Gui, Changfeng; Li, Qinfeng 1 2021 Propagation acceleration in reaction diffusion equations with anomalous diffusions. Zbl 1459.35068 Coville, Jérôme; Gui, Changfeng; Zhao, Mingfeng 1 2021 Semi-waves with \(\Lambda\)-shaped free boundary for nonlinear Stefan problems: existence. Zbl 1461.35249 Du, Yihong; Gui, Changfeng; Wang, Kelei; Zhou, Maolin 1 2021 Remarks on a mean field equation on \(\mathbb{S}^2\). Zbl 1474.35316 Gui, Changfeng; Hang, Fengbo; Moradifam, Amir; Wang, Xiaodong 1 2021 Uniqueness and symmetry for the mean field equation on arbitrary flat tori. Zbl 1481.35134 Gu, Guangze; Gui, Changfeng; Hu, Yeyao; Li, Qinfeng 1 2021 Symmetry of positive solutions of elliptic equations with mixed boundary conditions in a super-spherical sector. Zbl 1473.35247 Yao, Ruofei; Chen, Hongbin; Gui, Changfeng 1 2021 Some energy estimates for stable solutions to fractional Allen-Cahn equations. Zbl 1431.35227 Gui, Changfeng; Li, Qinfeng 6 2020 Further study on periodic solutions of elliptic equations with a fractional Laplacian. Zbl 1436.35172 Du, Zhuoran; Gui, Changfeng 5 2020 The sphere covering inequality and its dual. Zbl 1455.35305 Gui, Changfeng; Hang, Fengbo; Moradifam, Amir 3 2020 Axially symmetric solutions of the Allen-Cahn equation with finite Morse index. Zbl 1440.35165 Gui, Changfeng; Wang, Kelei; Wei, Jucheng 2 2020 Periodic solutions of Allen-Cahn system with the fractional Laplacian. Zbl 1455.34042 Du, Zhuoran; Gui, Changfeng 2 2020 Blow-up solutions for a mean field equation on a flat torus. Zbl 1440.35128 Cheng, Ze; Gui, Changfeng; Hu, Yeyao 1 2020 On nonlocal systems with jump processes of finite range and with decays. Zbl 1440.35105 Fazly, Mostafa; Gui, Changfeng 1 2020 Multiple non-axially solutions to a mean field equation on \({\mathrm{S}}^2\). Zbl 1463.35042 Du, Zhuoran; Gui, Changfeng; Jin, Jiaming; Li, Yuan 1 2020 Multiple solutions and their asymptotics for laminar flows through a porous channel with different permeabilities. Zbl 1457.76162 Guo, Hongxia; Gui, Changfeng; Lin, Ping; Zhao, Mingfeng 1 2020 On nodal solutions of the nonlinear Choquard equation. Zbl 1427.35051 Gui, Changfeng; Guo, Hui 21 2019 A singular sphere covering inequality: uniqueness and symmetry of solutions to singular Liouville-type equations. Zbl 1426.35127 Bartolucci, Daniele; Gui, Changfeng; Jevnikar, Aleks; Moradifam, Amir 8 2019 Symmetry of solutions of a mean field equation on flat tori. Zbl 1432.58006 Gui, Changfeng; Moradifam, Amir 6 2019 Existence of solutions to the supercritical Hardy-Littlewood-Sobolev system with fractional Laplacians. Zbl 1407.35202 Cheng, Ze; Gui, Changfeng; Hu, Yeyao 3 2019 A class of degenerate elliptic equations with nonlinear boundary conditions – WITHDRAWAL. Zbl 1453.35098 Du, Zhuoran; Fang, Yanqin; Gui, Changfeng 1 2019 The sphere covering inequality and its applications. Zbl 1410.53037 Gui, Changfeng; Moradifam, Amir 26 2018 Uniqueness of solutions of mean field equations in \(R^2\). Zbl 1387.35011 Gui, Changfeng; Moradifam, Amir 13 2018 Symmetry and uniqueness of solutions to some Liouville-type equations and systems. Zbl 1391.35156 Gui, Changfeng; Jevnikar, Aleks; Moradifam, Amir 7 2018 Periodic solutions of a semilinear elliptic equation with a fractional Laplacian. Zbl 1366.35042 Gui, Changfeng; Zhang, Jie; Du, Zhuoran 9 2017 Two-end solutions to the Allen-Cahn equation in \(\mathbb{R}^3\). Zbl 1386.35120 Gui, Changfeng; Liu, Yong; Wei, Juncheng 4 2017 Layered solutions for a fractional inhomogeneous Allen-Cahn equation. Zbl 1359.35213 Du, Zhuoran; Gui, Changfeng; Sire, Yannick; Wei, Juncheng 6 2016 On variational characterization of four-end solutions of the Allen-Cahn equation in the plane. Zbl 1350.35076 Gui, Changfeng; Liu, Yong; Wei, Juncheng 5 2016 Saddle solutions to Allen-Cahn equations in doubly periodic media. Zbl 1380.35099 Alessio, Francesca; Gui, Changfeng; Montecchiari, Piero 5 2016 Traveling wave solutions of Allen-Cahn equation with a fractional Laplacian. Zbl 1326.35068 Gui, Changfeng; Zhao, Mingfeng 26 2015 Traveling wave solutions to some reaction diffusion equations with fractional Laplacians. Zbl 1326.35067 Gui, Changfeng; Huan, Tingting 15 2015 Symmetry of entire solutions to the Allen-Cahn equation. Zbl 1333.35019 Gui, Changfeng; Zhang, Fang 1 2015 Entropy estimates and large-time behavior of solutions to a fourth-order nonlinear degenerate equation. Zbl 1273.35153 Min, Lihua; Yang, Xiaoping; Gui, Changfeng 2 2013 Linear convergence analysis of the use of gradient projection methods on total variation problems. Zbl 1290.90070 Chen, Pengwen; Gui, Changfeng 2 2013 Symmetry of traveling wave solutions to the Allen-Cahn equation in \({\mathbb R^{2}}\). Zbl 1256.35008 Gui, Changfeng 27 2012 Symmetry of some entire solutions to the Allen-Cahn equation in two dimensions. Zbl 1250.35078 Gui, Changfeng 18 2012 Axial symmetry of some steady state solutions to nonlinear Schrödinger equations. Zbl 1211.35115 Gui, Changfeng; Malchiodi, Andrea; Xu, Haoyuan 13 2011 Distance regularized level set evolution and its application to image segmentation. Zbl 1371.94226 Li, Chunming; Xu, Chenyang; Gui, Changfeng; Fox, Martin D. 77 2010 Interior layers for an inhomogeneous Allen-Cahn equation. Zbl 1194.35192 Du, Zhuoran; Gui, Changfeng 13 2010 Properties of translating solutions to mean curvature flow. Zbl 1193.35085 Gui, Changfeng; Jian, Huaiyu; Ju, Hongjie 13 2010 Asymptotic behavior of oscillating radial solutions to certain nonlinear equations. II. Zbl 1214.34030 Gui, Changfeng; Luo, Xue; Zhou, Feng 6 2009 Hamiltonian identities for elliptic partial differential equations. Zbl 1148.35023 Gui, Changfeng 34 2008 Symmetric quadruple phase transitions. Zbl 1185.35080 Gui, Changfeng; Schatzman, Michelle 28 2008 Asymptotic behavior of oscillating radial solutions to certain nonlinear equations. Zbl 1221.35147 Gui, Changfeng; Zhou, Feng 8 2008 Hamiltonian constants for several new entire solutions. Zbl 1158.35034 Gui, Changfeng 1 2008 Localization for a porous medium type equation in high dimensions. Zbl 1060.35059 Gui, Changfeng; Kang, Xiaosong 9 2004 On De Giorgi’s conjecture in dimensions 4 and 5. Zbl 1165.35367 Ghoussoub, Nassif; Gui, Changfeng 39 2003 On some problems related to De Giorgi’s conjecture. Zbl 1146.35355 Gui, Changfeng 1 2003 Estimates for boundary-bubbling solutions to an elliptic Neumann problem. Zbl 1136.35380 Gui, Changfeng; Lin, Chang-Shou 24 2002 Further study on a nonlinear heat equation. Zbl 0974.35056 Gui, Changfeng; Ni, Wei-Ming; Wang, Xuefeng 49 2001 On a singularly perturbed Neumann problem with the critical exponent. Zbl 0997.35021 Ghoussoub, Nassif; Gui, Changfeng; Zhu, Meijun 14 2001 Multiple boundary peak solutions for some singularly perturbed Neumann problems. Zbl 0944.35020 Gui, Changfeng; Wei, Juncheng; Winter, Matthias 99 2000 On multiple mixed interior and boundary peak solutions for some singularly perturbed Neumann problems. Zbl 0949.35052 Gui, Changfeng; Wei, Juncheng 93 2000 The Liouville property and a conjecture of De Giorgi. Zbl 1072.35526 Barlow, Martin T.; Bass, Richard F.; Gui, Changfeng 70 2000 On a sharp Moser-Aubin-Onofri inequality for functions on \(S^ 2\) with symmetry. Zbl 1057.53026 Gui, Changfeng; Wei, Juncheng 9 2000 Multiple interior peak solutions for some singularly perturbed Neumann problems. Zbl 1061.35502 Gui, Changfeng; Wei, Juncheng 146 1999 On a conjecture of De Giorgi and some related problems. Zbl 0918.35046 Ghoussoub, N.; Gui, C. 172 1998 Multi-peak solutions for a semilinear Neumann problem involving the critical Sobolev exponent. Zbl 0955.35024 Gui, Changfeng; Ghoussoub, Nassif 45 1998 An improved Moser-Aubin-Onofri inequality for axially symmetric functions on \(S^2\). Zbl 0905.53026 Feldman, J.; Froese, R.; Ghoussoub, N.; Gui, C. 6 1998 Stationary layered solutions in \(\mathbb{R}^ 2\) for an Allen-Cahn system with multiple well potential. Zbl 0883.35036 Alama, Stanley; Bronsard, Lia; Gui, Changfeng 71 1997 Existence of multi-bump solutions for nonlinear Schrödinger equations via variational method. Zbl 0857.35116 Gui, Changfeng 125 1996 Multipeak solutions for a semilinear Neumann problem. Zbl 0866.35039 Gui, Changfeng 84 1996 A three-layered minimizer in \(\mathbb{R}^ 2\) for a variational problem with a symmetric three-well potential. Zbl 0855.35035 Bronsard, Lia; Gui, Changfeng; Schatzman, Michelle 35 1996 On positive entire solutions of the elliptic equation \(\Delta u + K(x)u^ p = 0\) and its applications to Riemannian geometry. Zbl 0861.35025 Gui, Changfeng 20 1996 Multi-bump solutions for nonlinear Schrödinger equations. Zbl 0839.35038 Gui, Changfeng 3 1996 New variational principles and multi-peak solutions for Neumann problems involving the critical Sobolev exponent. Zbl 1205.58008 Ghoussoub, Nassif; Gui, Changfeng 2 1996 Life span of solutions of the Cauchy problem for a semilinear heat equation. Zbl 0813.35034 Gui, Changfeng; Wang, Xuefeng 33 1995 Symmetry of the blow-up set of a porous medium type equation. Zbl 0827.35014 Gui, Changfeng 16 1995 Uniqueness and nonuniqueness of coexistence states in the Lotka-Volterra competition model. Zbl 0829.92015 Gui, Changfeng; Lou, Yuan 49 1994 The critical asymptotics of scalar curvatures of the conformal complete metrics with negative curvature. Zbl 0820.53046 Gui, Changfeng; Wang, Xuefeng 1 1994 Regularity of an elliptic problem with a singular nonlinearity. Zbl 0805.35032 Gui, Changfeng; Lin, Fang Hua 66 1993 On the stability and instability of positive steady states of a semilinear heat equation in \(\mathbb{R}^ n\). Zbl 0811.35048 Gui, Changfeng; Ni, Wei-Ming; Wang, Xuefeng 124 1992 Positive entire solutions of the equation \(\Delta{}u+f(x,u)=0\). Zbl 0754.35017 Gui, Changfeng 18 1992 all cited Publications top 5 cited Publications all top 5 Cited by 1,167 Authors 109 Wei, Juncheng 43 Gui, Changfeng 25 Del Pino, Manuel A. 18 Valdinoci, Enrico 17 Kowalczyk, Michał 17 Montecchiari, Piero 15 Byeon, Jaeyoung 15 Du, Zhuoran 14 Fusco, Giorgio 14 Wang, Kelei 13 Alessio, Francesca G. 13 Alves, Claudianor Oliveira 13 Guo, Zongming 13 Hamel, François 13 Liu, Yong 13 Musso, Monica 13 Pistoia, Angela 12 D’Aprile, Teresa 12 Hu, Yeyao 12 Malchiodi, Andrea 12 Poláčik, Peter 12 Yan, Shusen 12 Yanagida, Eiji 12 Yang, Jun 11 Bae, Soohyun 11 Dancer, Edward Norman 11 Li, Yi 11 Mu, Chunlai 11 Winter, Matthias 11 Yang, Wen 10 Ao, Weiwei 10 Ding, Yanheng 10 Dipierro, Serena 10 Fazly, Mostafa 10 Jevnikar, Aleks Yang Wen 10 Winkler, Michael 9 Bartolucci, Daniele 9 Dávila, Juan 9 Ghergu, Marius 9 Lin, Chang-Shou 9 Shi, Junping 9 Sire, Yannick 9 Sourdis, Christos 9 Tang, Zhongwei 8 Alikakos, Nicholas D. 8 Cabré, Xavier 8 Cao, Daomin 8 Deng, Yinbin 8 Farina, Alberto 8 da Silva Montenegro, Marcelo 8 Pacard, Frank 8 Peng, Shuangjie 8 Yang, Minbo 7 Alfaro, Matthieu 7 Felmer, Patricio L. 7 Fila, Marek 7 Lee, Youngae 7 Mahmoudi, Fethi 7 Miyamoto, Yasuhito 7 Sheng, WeiJie 7 Zhang, Zhijun 6 Bates, Peter W. 6 Berestycki, Henri 6 Guo, Hui 6 He, Chuanjiang 6 Lin, Taichia 6 Micheletti, Anna Maria 6 Rabinowitz, Paul Henry 6 Smyrnelis, Panayotis 6 Tanaka, Kazunaga 6 Wang, Tao 6 Wang, Xuefeng 6 Wang, Zhi-Qiang 6 Zhao, Chunshan 5 Bonheure, Denis 5 Chan, Hardy 5 Chen, Shaohua 5 Cowan, Craig 5 Du, Yihong 5 Giacomoni, Jacques 5 He, Yi 5 Jeanjean, Louis 5 Kong, Fanze 5 Li, Gongbao 5 Monneau, Régis 5 Moradifam, Amir 5 Ni, Wei-Ming 5 Rădulescu, Vicenţiu D. 5 Wang, Mingxin 5 Wang, Qi 5 Wei, Suting 5 Wu, Jianhua 5 Ye, Dong 4 Agudelo, Oscar Mauricio 4 Alama, Stan 4 Bronsard, Lia 4 Chen, Hongbin 4 Cingolani, Silvia 4 Ghoussoub, Nassif A. 4 Hasegawa, Shoichi ...and 1,067 more Authors all top 5 Cited in 206 Serials 124 Journal of Differential Equations 62 Calculus of Variations and Partial Differential Equations 56 Journal of Mathematical Analysis and Applications 53 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 35 Journal of Functional Analysis 33 Discrete and Continuous Dynamical Systems 31 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 29 Communications in Partial Differential Equations 28 Communications on Pure and Applied Analysis 25 Transactions of the American Mathematical Society 19 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 18 Journal de Mathématiques Pures et Appliquées. Neuvième Série 17 Proceedings of the American Mathematical Society 17 NoDEA. Nonlinear Differential Equations and Applications 16 Annali di Matematica Pura ed Applicata. Serie Quarta 16 Nonlinear Analysis. Real World Applications 14 Nonlinearity 14 ZAMP. Zeitschrift für angewandte Mathematik und Physik 14 Communications in Contemporary Mathematics 14 Advanced Nonlinear Studies 13 Archive for Rational Mechanics and Analysis 13 Journal of Mathematical Physics 13 Boundary Value Problems 12 Mathematische Annalen 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 Computers & Mathematics with Applications 11 Advances in Mathematics 11 Science China. Mathematics 9 Applicable Analysis 9 Communications on Pure and Applied Mathematics 9 Duke Mathematical Journal 8 Journal of Computational Physics 7 Physica D 7 Applied Mathematics Letters 7 The Journal of Geometric Analysis 7 Topological Methods in Nonlinear Analysis 7 Journal of the European Mathematical Society (JEMS) 7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 7 Advances in Nonlinear Analysis 6 Communications in Mathematical Physics 6 Information Sciences 6 Applied Mathematical Modelling 6 Journal of Dynamics and Differential Equations 6 Mathematical Problems in Engineering 6 SIAM Journal on Imaging Sciences 5 Manuscripta Mathematica 5 Mathematische Nachrichten 5 Mathematische Zeitschrift 5 Revista Matemática Iberoamericana 5 SIAM Journal on Mathematical Analysis 5 Journal of Fixed Point Theory and Applications 5 Computational & Mathematical Methods in Medicine 5 Mathematics in Engineering 4 Computer Methods in Applied Mechanics and Engineering 4 Journal d’Analyse Mathématique 4 Journal of Mathematical Biology 4 Mathematical Methods in the Applied Sciences 4 Applied Mathematics and Computation 4 Journal für die Reine und Angewandte Mathematik 4 Journal of Scientific Computing 4 European Journal of Applied Mathematics 4 Acta Mathematica Sinica. English Series 4 Milan Journal of Mathematics 4 Complex Variables and Elliptic Equations 4 Frontiers of Mathematics in China 4 Séminaire Laurent Schwartz. EDP et Applications 4 Electronic Research Archive 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Indiana University Mathematics Journal 3 International Journal for Numerical Methods in Engineering 3 Inventiones Mathematicae 3 Memoirs of the American Mathematical Society 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Potential Analysis 3 Electronic Journal of Differential Equations (EJDE) 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Communications in Nonlinear Science and Numerical Simulation 3 Discrete and Continuous Dynamical Systems. Series B 3 Nonlinear Analysis. Theory, Methods & Applications 2 Reviews in Mathematical Physics 2 Annales Polonici Mathematici 2 Archiv der Mathematik 2 Pacific Journal of Mathematics 2 Quarterly of Applied Mathematics 2 SIAM Journal on Numerical Analysis 2 Chinese Annals of Mathematics. Series B 2 Acta Applicandae Mathematicae 2 Applied Numerical Mathematics 2 Acta Mathematicae Applicatae Sinica. English Series 2 Mathematical and Computer Modelling 2 Asymptotic Analysis 2 Japan Journal of Industrial and Applied Mathematics 2 International Journal of Computer Mathematics 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Journal of Partial Differential Equations 2 Journal of Mathematical Imaging and Vision 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Analysis and Applications (Singapore) ...and 106 more Serials all top 5 Cited in 40 Fields 1,006 Partial differential equations (35-XX) 108 Biology and other natural sciences (92-XX) 77 Global analysis, analysis on manifolds (58-XX) 55 Differential geometry (53-XX) 50 Numerical analysis (65-XX) 49 Calculus of variations and optimal control; optimization (49-XX) 45 Operator theory (47-XX) 44 Ordinary differential equations (34-XX) 42 Dynamical systems and ergodic theory (37-XX) 29 Information and communication theory, circuits (94-XX) 28 Fluid mechanics (76-XX) 28 Quantum theory (81-XX) 20 Probability theory and stochastic processes (60-XX) 18 Statistical mechanics, structure of matter (82-XX) 16 Computer science (68-XX) 16 Mechanics of deformable solids (74-XX) 15 Real functions (26-XX) 12 Potential theory (31-XX) 12 Integral equations (45-XX) 10 Functional analysis (46-XX) 6 Optics, electromagnetic theory (78-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Statistics (62-XX) 5 Mechanics of particles and systems (70-XX) 5 Operations research, mathematical programming (90-XX) 4 Measure and integration (28-XX) 4 Functions of a complex variable (30-XX) 3 Algebraic topology (55-XX) 3 Manifolds and cell complexes (57-XX) 3 Systems theory; control (93-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Algebraic geometry (14-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year