Henghui Zou
Department of Mathematics
University of Alabama at Birmingham
Birmingham, Alabama 35294
E-mail: zou@math.uab.edu
Fax: (205) 934-9025
Telephone: (205) 934-2154

List of Publications

  1. The Dirichlet problem for the degenerate Monge-Ampére equation. J. Partial Differential Equations, 2(1989), pp. 1-8.
  2. (with J. Serrin), Existence and non-existence theorems of ground states for the quasilinear elliptic equations. Arch. Rational. Mech. Anal., 121(1992), pp. 101-130.
  3. (with J. Serrin), Ground states for degenerate quasilinear elliptic equations. Diff. Eq. Appl. Math. Phys., Math. Sci. Engrg. 192, Academic press, Boston, MA, 1993, pp. 287-305.
  4. (with J. Serrin), Asymptotic integration of damped second order systems, American J. Math., 116(1994), no. 5, pp. 1241-1264.
  5. On the effect of the domain geometry on uniqueness of positive solutions of $\Delta u+up=0$ , Annali della Scuola Normale Superior di Pisa, XXI(1994), no. 3, pp. 343-356.
  6. Asymptotic integration of overdamped second order systems and applications to instability, Nonlinear Analysis, 23(1994), no. 2, pp. 215-224.
  7. (with L.A. Peletier and J. Serrin) Ground states of a quasilinear equation, Differential and Integral Equations, 7(1994), no. 4, pp. 1063-1082.
  8. (with J. Serrin) Classification of positive solutions of quasilinear elliptic equations, Topological Methods in Non-linear Analysis, 3(1994), pp. 1-26.
  9. (with J. Serrin) Non-existence of positive solutions of semilinear elliptic systems, Discourse in Mathematics and its Applications, Texas A&M University, No. 3(1994), pp.56-69.
  10. Slow decay and the Harnack inequality for positive solutions of $\Delta u+up=0$ in Rn, Differential and Integral Equations, 8(1995), No.6, pp.1355-1368.
  11. Symmetry of positive solutions of $\Delta u+up=0$ in Rn, J. Diff. Equations, 120(1995), no. 1, pp. 46-88.
  12. Existence and non-existence of positive solutions of the scalar field systems in Rn, I, Calculus of Variations and PDE, 4, no.3, pp. 219-246.
  13. (with J. Serrin) Non-existence of positive solutions of Lane - Emden systems, Differential and Integral Equations, 9(1996), no. 4, pp. 635-653.
  14. Symmetry of ground states of semilinear elliptic equations with mixed Sobolev growth, Indiana J. Math., 45(1996), no. 1, pp. 221-240.
  15. (with J. Serrin) The existence of positive entire solutions of elliptic Hamiltonian systems, Comm. Partial Differential Equations, 23(1998), pp. 577-599.
  16. (with J. Serrin) Existence of positive solutions of the Lane - Emden system, Atti del Sem. Mat. Univ. Modena, Suppl. XLVI(1998), pp.369-380.
  17. (with J. Serrin) Symmetry for ground states of quasilinear elliptic equations in Rn, Arch. Rational. Mech. Anal., 148(1999), pp.265-290.
  18. (with P. Pucci and J. Serrin) A strong maximum principle and a compact support principle for singular elliptic inequalities, Ricerche di Mate., XLVIII(1999), suppl. pp.373-398.
  19. (with P. Pucci and J. Serrin) A strong maximum principle and a compact support principle for singular elliptic equations, J. Math. Pures Appl., 78(1999), pp.769-789.
  20. Symmetry of ground states for a semilinear elliptic system, Transactions of AMS, 352(2000), no. 3, pp.1217-1245.
  21. (with W. Reichel) Non-existence results for semilinear coopeartive elliptic systems via moving spheres, J. Diff. Equations, 161(2000), no. 1, pp.219--243.
  22. On positive solutions for semilinear elliptic equations with an indefinite nonlinearity via bifurcation, J. Partial Differential Equations, 13(2000), no. 1, pp.133-150.
  23. a Priori estimates for a semilinear elliptic system without variational structure and their applications, Mathematische Annalen, 323(2002), pp.713-735.
  24. (with J. Serrin) Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities, Acta Mathematica, 189(2002), pp79-142.

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