Li, Yanyan; Nguyen, Luc; Wang, Bo On the \(\sigma_\kappa \)-Nirenberg problem. (English) Zbl 07791561 Am. J. Math. 146, No. 1, 241-276 (2024). Reviewer: Vincenzo Vespri (Firenze) MSC: 53C21 58J60 53C18 PDFBibTeX XMLCite \textit{Y. Li} et al., Am. J. Math. 146, No. 1, 241--276 (2024; Zbl 07791561) Full Text: DOI arXiv
Li, Yanyan Symmetry of hypersurfaces and the Hopf lemma. (English) Zbl 07817719 Math. Eng. (Springfield) 5, No. 5, Paper No. 84, 9 p. (2023). MSC: 53A10 53C45 PDFBibTeX XMLCite \textit{Y. Li}, Math. Eng. (Springfield) 5, No. 5, Paper No. 84, 9 p. (2023; Zbl 07817719) Full Text: DOI arXiv
Li, Yanyan; Luc Nguyen Existence and uniqueness of Green’s functions to nonlinear Yamabe problems. (English) Zbl 07748322 Commun. Pure Appl. Math. 76, No. 8, 1554-1607 (2023). Reviewer: Seunghyeok Kim (Seoul) MSC: 53C21 53C23 53C18 58J60 PDFBibTeX XMLCite \textit{Y. Li} and \textit{Luc Nguyen}, Commun. Pure Appl. Math. 76, No. 8, 1554--1607 (2023; Zbl 07748322) Full Text: DOI arXiv OA License
Li, Yanyan; Lu, Han; Lu, Siyuan A Liouville theorem for Möbius invariant equations. (English) Zbl 07720741 Peking Math. J. 6, No. 2, 609-634 (2023). Reviewer: Antonio Vitolo (Fisciano) MSC: 35B53 35D40 35J60 PDFBibTeX XMLCite \textit{Y. Li} et al., Peking Math. J. 6, No. 2, 609--634 (2023; Zbl 07720741) Full Text: DOI arXiv
Li, YanYan; Lu, Han; Lu, Siyuan On the \(\sigma_2\)-Nirenberg problem on \(\mathbb{S}^2\). (English) Zbl 07582127 J. Funct. Anal. 283, No. 10, Article ID 109606, 50 p. (2022). MSC: 53C20 35J99 58J05 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Funct. Anal. 283, No. 10, Article ID 109606, 50 p. (2022; Zbl 07582127) Full Text: DOI arXiv
Li, YanYan; Nguyen, Luc; Wang, Bo The axisymmetric \(\sigma_k\)-Nirenberg problem. (English) Zbl 1478.35119 J. Funct. Anal. 281, No. 9, Article ID 109198, 60 p. (2021). Reviewer: Dian K. Palagachev (Bari) MSC: 35J60 35B45 58J05 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Funct. Anal. 281, No. 9, Article ID 109198, 60 p. (2021; Zbl 1478.35119) Full Text: DOI arXiv
Li, Yanyan; Yan, Xukai; Yao, Yao Symmetry of hypersurfaces with ordered mean curvature in one direction. (English) Zbl 1473.35232 Calc. Var. Partial Differ. Equ. 60, No. 5, Paper No. 173, 13 p. (2021). MSC: 35J60 53A05 49J40 PDFBibTeX XMLCite \textit{Y. Li} et al., Calc. Var. Partial Differ. Equ. 60, No. 5, Paper No. 173, 13 p. (2021; Zbl 1473.35232) Full Text: DOI arXiv
Li, YanYan; Xiong, Jingang Compactness of conformal metrics with constant \(Q\)-curvature. I. (English) Zbl 1484.53075 Adv. Math. 345, 116-160 (2019). MSC: 53C21 35J30 PDFBibTeX XMLCite \textit{Y. Li} and \textit{J. Xiong}, Adv. Math. 345, 116--160 (2019; Zbl 1484.53075) Full Text: DOI arXiv
González, María del Mar; Li, YanYan; Nguyen, Luc Existence and uniqueness to a fully nonlinear version of the Loewner-Nirenberg problem. (English) Zbl 1406.35122 Commun. Math. Stat. 6, No. 3, 269-288 (2018). MSC: 35J60 35J75 35A01 35A02 53A30 PDFBibTeX XMLCite \textit{M. d. M. González} et al., Commun. Math. Stat. 6, No. 3, 269--288 (2018; Zbl 1406.35122) Full Text: DOI arXiv
Li, YanYan; Nguyen, Luc; Wang, Bo Comparison principles and Lipschitz regularity for some nonlinear degenerate elliptic equations. (English) Zbl 1397.35100 Calc. Var. Partial Differ. Equ. 57, No. 4, Paper No. 96, 29 p. (2018). MSC: 35J60 35J70 35B51 35B65 35D40 PDFBibTeX XMLCite \textit{Y. Li} et al., Calc. Var. Partial Differ. Equ. 57, No. 4, Paper No. 96, 29 p. (2018; Zbl 1397.35100) Full Text: DOI arXiv
Jin, Tianling; Li, YanYan; Xiong, Jingang The Nirenberg problem and its generalizations: a unified approach. (English) Zbl 1384.53039 Math. Ann. 369, No. 1-2, 109-151 (2017). Reviewer: Cihan Özgür (Balikesir) MSC: 53C21 35B44 45M20 35G20 PDFBibTeX XMLCite \textit{T. Jin} et al., Math. Ann. 369, No. 1--2, 109--151 (2017; Zbl 1384.53039) Full Text: DOI arXiv
Li, Yanyan; Liu, Jiakun; Nguyen, Luc A degree theory for second order nonlinear elliptic operators with nonlinear oblique boundary conditions. (English) Zbl 1366.35045 J. Fixed Point Theory Appl. 19, No. 1, 853-876 (2017). MSC: 35J66 47H11 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Fixed Point Theory Appl. 19, No. 1, 853--876 (2017; Zbl 1366.35045) Full Text: DOI arXiv
Li, YanYan; Nguyen, Luc A fully nonlinear version of the Yamabe problem on locally conformally flat manifolds with umbilic boundary. (English) Zbl 1291.53049 Adv. Math. 251, 87-110 (2014). Reviewer: Neda Bokan (Beograd) MSC: 53C20 PDFBibTeX XMLCite \textit{Y. Li} and \textit{L. Nguyen}, Adv. Math. 251, 87--110 (2014; Zbl 1291.53049) Full Text: DOI arXiv
Li, YanYan; Nguyen, Luc A compactness theorem for a fully nonlinear Yamabe problem under a lower Ricci curvature bound. (English) Zbl 1288.53030 J. Funct. Anal. 266, No. 6, 3741-3771 (2014). MSC: 53C21 35J60 PDFBibTeX XMLCite \textit{Y. Li} and \textit{L. Nguyen}, J. Funct. Anal. 266, No. 6, 3741--3771 (2014; Zbl 1288.53030) Full Text: DOI arXiv
Li, Yanyan; Mastrolia, Paolo; Monticelli, Dario D. On conformally invariant equations on \(\mathbf R^n\). (English) Zbl 1286.35076 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 95, 339-361 (2014). MSC: 35G20 35A30 58J70 53C21 PDFBibTeX XMLCite \textit{Y. Li} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 95, 339--361 (2014; Zbl 1286.35076) Full Text: DOI
Li, Yan Yan; Nguyen, Luc A generalized mass involving higher order symmetric functions of the curvature tensor. (English) Zbl 1279.53034 Ann. Henri Poincaré 14, No. 7, 1733-1746 (2013). Reviewer: Johannes Viktor Feitzinger (Bochum) MSC: 53C20 83C05 83C20 PDFBibTeX XMLCite \textit{Y. Y. Li} and \textit{L. Nguyen}, Ann. Henri Poincaré 14, No. 7, 1733--1746 (2013; Zbl 1279.53034) Full Text: DOI arXiv
Li, YanYan; Nguyen, Luc Counterexamples to \(C^2\)-boundary estimates for a fully nonlinear Yamabe problem on manifolds with boundary. (English) Zbl 1257.53058 Adv. Nonlinear Stud. 12, No. 4, 783-797 (2012). MSC: 53C21 35J66 PDFBibTeX XMLCite \textit{Y. Li} and \textit{L. Nguyen}, Adv. Nonlinear Stud. 12, No. 4, 783--797 (2012; Zbl 1257.53058) Full Text: DOI
Li, YanYan; Lin, Chang-Shou A nonlinear elliptic PDE with two Sobolev-Hardy critical exponents. (English) Zbl 1255.35123 Arch. Ration. Mech. Anal. 203, No. 3, 943-968 (2012). MSC: 35J93 35B09 35B08 PDFBibTeX XMLCite \textit{Y. Li} and \textit{C.-S. Lin}, Arch. Ration. Mech. Anal. 203, No. 3, 943--968 (2012; Zbl 1255.35123) Full Text: DOI arXiv
Li, Yanyan; Mastrolia, Paolo; Monticelli, Dario D. On conformally invariant equations on \(R^n\)-II. Exponential invariance. (English) Zbl 1250.35068 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 13, 5194-5211 (2012). MSC: 35G20 35A30 58J70 53C21 PDFBibTeX XMLCite \textit{Y. Li} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 13, 5194--5211 (2012; Zbl 1250.35068) Full Text: DOI
Han, Zheng-Chao; Li, YanYan; Teixeira, Eduardo V. Asymptotic behavior of solutions to the \(\sigma_{k}\)-Yamabe equation near isolated singularities. (English) Zbl 1211.53064 Invent. Math. 182, No. 3, 635-684 (2010). Reviewer: Maria Aparecida Soares Ruas (São Carlos) MSC: 53C21 35B40 35A24 PDFBibTeX XMLCite \textit{Z.-C. Han} et al., Invent. Math. 182, No. 3, 635--684 (2010; Zbl 1211.53064) Full Text: DOI arXiv
Li, Yanyan Local gradient estimates of solutions to some conformally invariant fully nonlinear equations. (English) Zbl 1195.35078 Commun. Pure Appl. Math. 62, No. 10, 1293-1326 (2009). MSC: 35B53 35J60 35B45 PDFBibTeX XMLCite \textit{Y. Li}, Commun. Pure Appl. Math. 62, No. 10, 1293--1326 (2009; Zbl 1195.35078) Full Text: DOI arXiv
Li, YanYan Degenerate conformally invariant fully nonlinear elliptic equations. (English) Zbl 1158.35048 Arch. Ration. Mech. Anal. 186, No. 1, 25-51 (2007). Reviewer: Dian K. Palagachev (Bari) MSC: 35J70 35B05 35D10 PDFBibTeX XMLCite \textit{Y. Li}, Arch. Ration. Mech. Anal. 186, No. 1, 25--51 (2007; Zbl 1158.35048) Full Text: DOI arXiv
Li, Yanyan; Zhang, Lei Compactness of solutions to the Yamabe problem. III. (English) Zbl 1229.35072 J. Funct. Anal. 245, No. 2, 438-474 (2007). MSC: 35J60 53C21 58J05 PDFBibTeX XMLCite \textit{Y. Li} and \textit{L. Zhang}, J. Funct. Anal. 245, No. 2, 438--474 (2007; Zbl 1229.35072) Full Text: DOI arXiv
Jin, Qinian; Li, Aobing; Li, YanYan Estimates and existence results for a fully nonlinear Yamabe problem on manifolds with boundary. (English) Zbl 1153.35323 Calc. Var. Partial Differ. Equ. 28, No. 4, 509-543 (2007). MSC: 35J60 53C21 PDFBibTeX XMLCite \textit{Q. Jin} et al., Calc. Var. Partial Differ. Equ. 28, No. 4, 509--543 (2007; Zbl 1153.35323) Full Text: DOI arXiv
Li, YanYan Local gradient estimates of solutions to some conformally invariant fully nonlinear equations. (English) Zbl 1108.35061 C. R., Math., Acad. Sci. Paris 343, No. 4, 249-252 (2006). MSC: 35J60 PDFBibTeX XMLCite \textit{Y. Li}, C. R., Math., Acad. Sci. Paris 343, No. 4, 249--252 (2006; Zbl 1108.35061) Full Text: DOI
Li, Aobing; Li, YanYan A fully nonlinear version of the Yamabe problem on manifolds with boundary. (English) Zbl 1100.53035 J. Eur. Math. Soc. (JEMS) 8, No. 2, 295-316 (2006). MSC: 53C21 58J60 PDFBibTeX XMLCite \textit{A. Li} and \textit{Y. Li}, J. Eur. Math. Soc. (JEMS) 8, No. 2, 295--316 (2006; Zbl 1100.53035) Full Text: DOI
Li, Aobing; Li, YanYan On some conformally invariant fully nonlinear equations. II: Liouville, Harnack and Yamabe. (English) Zbl 1216.35038 Acta Math. 195, No. 1, 117-154 (2005). MSC: 35J60 53C21 58J05 58J60 PDFBibTeX XMLCite \textit{A. Li} and \textit{Y. Li}, Acta Math. 195, No. 1, 117--154 (2005; Zbl 1216.35038) Full Text: DOI arXiv
Li, YanYan; Zhang, Lei Compactness of solutions to the Yamabe problem. II. (English) Zbl 1229.35071 Calc. Var. Partial Differ. Equ. 24, No. 2, 185-237 (2005). MSC: 35J60 53C21 58J05 PDFBibTeX XMLCite \textit{Y. Li} and \textit{L. Zhang}, Calc. Var. Partial Differ. Equ. 24, No. 2, 185--237 (2005; Zbl 1229.35071) Full Text: DOI arXiv
Li, YanYan; Zhang, Lei Compactness of solutions to the Yamabe problem. (English. Abridged French version) Zbl 1101.53018 C. R., Math., Acad. Sci. Paris 338, No. 9, 693-695 (2004). MSC: 53C21 35J60 PDFBibTeX XMLCite \textit{Y. Li} and \textit{L. Zhang}, C. R., Math., Acad. Sci. Paris 338, No. 9, 693--695 (2004; Zbl 1101.53018) Full Text: DOI
Li, Yanyan; Zhang, Lei Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations. (English) Zbl 1173.35477 J. Anal. Math. 90, 27-87 (2003). MSC: 35J60 35B33 35B40 35B45 PDFBibTeX XMLCite \textit{Y. Li} and \textit{L. Zhang}, J. Anal. Math. 90, 27--87 (2003; Zbl 1173.35477) Full Text: DOI
Li, Aobing; Li, YanYan A fully nonlinear version of the Yamabe problem and a Harnack type inequality. (English. Abridged French version) Zbl 1113.35069 C. R., Math., Acad. Sci. Paris 336, No. 4, 319-324 (2003). MSC: 35J60 53C21 35B45 35B65 PDFBibTeX XMLCite \textit{A. Li} and \textit{Y. Li}, C. R., Math., Acad. Sci. Paris 336, No. 4, 319--324 (2003; Zbl 1113.35069) Full Text: DOI arXiv
Li, Yan Yan; Ricciardi, Tonia A sharp Sobolev inequality of Riemannian manifolds. (English. Abridged French version) Zbl 1044.53027 C. R., Math., Acad. Sci. Paris 335, No. 6, 519-524 (2002). Reviewer: Emmanuel Hebey (Paris) MSC: 53C21 58E35 PDFBibTeX XMLCite \textit{Y. Y. Li} and \textit{T. Ricciardi}, C. R., Math., Acad. Sci. Paris 335, No. 6, 519--524 (2002; Zbl 1044.53027) Full Text: DOI
Li, Aobing; Li, YanYan On some conformally invariant fully nonlinear equations. (English. Abridged French version) Zbl 0998.58011 C. R., Math., Acad. Sci. Paris 334, No. 4, 305-310 (2002). MSC: 58J05 35J60 PDFBibTeX XMLCite \textit{A. Li} and \textit{Y. Li}, C. R., Math., Acad. Sci. Paris 334, No. 4, 305--310 (2002; Zbl 0998.58011) Full Text: DOI
Brezis, Haim; Li, Yanyan Topology and Sobolev spaces. (English) Zbl 1001.46019 J. Funct. Anal. 183, No. 2, 321-369 (2001). Reviewer: Julian Musielak (Poznań) MSC: 46E35 PDFBibTeX XMLCite \textit{H. Brezis} and \textit{Y. Li}, J. Funct. Anal. 183, No. 2, 321--369 (2001; Zbl 1001.46019) Full Text: DOI
Li, Yanyan; Zhu, Meijun Yamabe type equations on three-dimensional Riemannian manifolds. (English) Zbl 0973.53029 Commun. Contemp. Math. 1, No. 1, 1-50 (1999). Reviewer: Gabjin Yun (Kyung-Ki, Yong-in) MSC: 53C21 PDFBibTeX XMLCite \textit{Y. Li} and \textit{M. Zhu}, Commun. Contemp. Math. 1, No. 1, 1--50 (1999; Zbl 0973.53029) Full Text: DOI
Han, Zheng-Chao; Li, Yanyan The Yamabe problem on manifolds with boundary: Existence and compactness results. (English) Zbl 0945.53023 Duke Math. J. 99, No. 3, 489-542 (1999). Reviewer: John Urbas (Canberra) MSC: 53C21 PDFBibTeX XMLCite \textit{Z.-C. Han} and \textit{Y. Li}, Duke Math. J. 99, No. 3, 489--542 (1999; Zbl 0945.53023) Full Text: DOI
Aubin, Thierry; Li, Yan Yan On the best Sobolev inequality. (English) Zbl 0944.46027 J. Math. Pures Appl., IX. Sér. 78, No. 4, 353-387 (1999). Reviewer: L.Skrzypczak (Poznań) MSC: 46E35 53B20 PDFBibTeX XMLCite \textit{T. Aubin} and \textit{Y. Y. Li}, J. Math. Pures Appl. (9) 78, No. 4, 353--387 (1999; Zbl 0944.46027) Full Text: DOI
Han, Zheng-chao; Li, Yanyan A note on the Kazdan-Warner type condition. (English) Zbl 0863.53027 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 13, No. 3, 283-292 (1996). Reviewer: Ma Li (New Brunswick) MSC: 53C20 PDFBibTeX XMLCite \textit{Z.-c. Han} and \textit{Y. Li}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 13, No. 3, 283--292 (1996; Zbl 0863.53027) Full Text: DOI Numdam EuDML
Li, YanYan Prescribing scalar curvature on \(S^ n\) and related problems. II: Existence and compactness. (English) Zbl 0849.53031 Commun. Pure Appl. Math. 49, No. 6, 541-597 (1996). Reviewer: Y.Li (New Brunswick) MSC: 53C20 35B40 PDFBibTeX XMLCite \textit{Y. Li}, Commun. Pure Appl. Math. 49, No. 6, 541--597 (1996; Zbl 0849.53031) Full Text: DOI
Li, Yanyan; Zhu, Meijun Uniqueness theorems through the method of moving spheres. (English) Zbl 0846.35050 Duke Math. J. 80, No. 2, 383-417 (1995). Reviewer: A.D.Osborne (Keele) MSC: 35J65 PDFBibTeX XMLCite \textit{Y. Li} and \textit{M. Zhu}, Duke Math. J. 80, No. 2, 383--417 (1995; Zbl 0846.35050) Full Text: DOI
Bahri, Abbas; Li, Yanyan; Rey, Olivier On a variational problem with lack of compactness: The topological effect of the critical points at infinity. (English) Zbl 0814.35032 Calc. Var. Partial Differ. Equ. 3, No. 1, 67-93 (1995). MSC: 35J65 35B30 35J20 PDFBibTeX XMLCite \textit{A. Bahri} et al., Calc. Var. Partial Differ. Equ. 3, No. 1, 67--93 (1995; Zbl 0814.35032) Full Text: DOI
Li, Yanyan; Tian, Gang Regularity of harmonic maps with prescribed singularities. (English) Zbl 0785.53047 Commun. Math. Phys. 149, No. 1, 1-30 (1992). Reviewer: G.Tóth (Camden) MSC: 53C40 58E20 83C57 PDFBibTeX XMLCite \textit{Y. Li} and \textit{G. Tian}, Commun. Math. Phys. 149, No. 1, 1--30 (1992; Zbl 0785.53047) Full Text: DOI