Preprints of YanYan Li

  • 2011g.pdf On the exterior Dirichlet problem for Hessian equations (with Jiguang Bao and Haigang Li), arXiv:1112.4665v1 [math.AP] 20 Dec 2011, 19 pages.

  • 2011f.pdf On a fractional Nirenberg problem, part I: blow up analysis and compactness of solutions (with Tianling Jin and Jingang Xiong), arXiv:1111.1332v1 [math.AP] 5 Nov 2011, 59 pages.

  • 2011e.pdf A geometric characterization of a sharp Hardy inequality (with Roger T. Lewis and Junfang Li), Journal of Functional Analysis, to appear, 27 pages.

  • 2011d.pdf Gradient Estimates for Parabolic Systems from Composite Material (with Haigang Li), arXiv:1105.1437v1 [math.AP] 7 May, 2011, 45 pages.

  • 2011c.pdf The Calabi-Yau equation on $4-$manifolds over $2-$tori (with A. Fino, S. Salamon and L. Vezzoni), to appear in Transaction of the American Mathematical Society, 24 pages.

  • 2011b.pdf Hypersurfaces of Prescribed Curvature Measure (with Pengfei Guan and Junfang Li), Duke Math. J., to appear, 12 pages.

  • 2011a.pdf Some remarks on singular solutions of nonlinear elliptic equations. III: viscosity solutions, including parabolic operators (with Luis Caffarelli and Louis Nirenberg), 40 pages.

  • 2010e.pdf On fully nonlinear CR invariant equations on the Heisenberg group (with Dario Daniele Monticelli), to appear in J. of Differential Equations, 39 pages.

  • 2010d.pdf On the work of Louis Nirenberg, 11 pages. To appear in Proceedings of the International Congress of Mathematicians, Hyderabad, India, 2010.

  • 2010c2.pdf A Nonlinear Elliptic PDE with Two Sobolev-Hardy Critical Exponents (with C.S. Lin), to appear in Arch. Rat. Mech. Anal., 22 pages.

  • 2010a.pdf Some remarks on singular solutions of nonlinear elliptic equations. II: symmetry and monotonicity via moving planes (with Luis Caffarelli and Louis Nirenberg), 11 pages.

  • 2009e.pdf A fully nonlinear version of the Yamabe problem on locally conformally flat manifolds with umbilic boundary (with Luc Nguyen), arXiv:math.AP/0911.3366v1 17 Nov. 2009, 62 pages.

  • 2008b.pdf A miscellany (with Louis Nirenberg), arXiv:math.AP/0910.0323v1 2 Oct 2009, 16 pages. To appear in Percorsi incrociati (in ricordo di Vittorio Cafagna), Collana Scientifica di Ateneo, Universita of Salerno. ------- Cross paths (in memory of Vittorio Cafagna), Academic Scientific Series, University of Salerno.