Shujie Li

Chinese Academy of Sciences, China

Articles in Scholarly Journals [Incomplete List]

  1. Hardy–Sobolev inequalities in half-space and some semilinear elliptic equations with singular coefficients
    Nonlinear Analysis, vol. 66, no. 2, pp. 324–348, 2007
  2. Splitting lemma in the infinity and a strong resonant problem with periodic nonlinearity
    Nonlinear Analysis, vol. 65, no. 3, pp. 567–582, 2006
  3. Splitting lemma at infinity and a strongly resonant problem with periodic nonlinearity
    Calculus of Variations and Partial Differential Equations, vol. 27, no. 1, pp. 105–123, 2006
  4. Multiple Solutions for a Fourthâ??order Asymptotically Linear Elliptic Problem
    Acta Mathematica Sinica, English Series, vol. 22, no. 4, pp. 1121–1126, 2006
  5. On the existence of nontrivial solutions for a fourth-order semilinear elliptic problem
    Abstract and Applied Analysis, vol. 2005, no. 6, pp. 673–683, 2005
  6. Multiple solutions for a semilinear equation involving singular potential and critical exponent
    Zeitschrift für angewandte Mathematik und Physik, vol. 56, no. 3, pp. 453–474, 2005
  7. Splitting theorem, Poincar??Hopf theorem and jumping nonlinear problems
    Journal of Functional Analysis, vol. 221, no. 2, pp. 439–455, 2005
  8. Multiple solutions of nonlinear elliptic equations for oscillation problems
    Journal of Mathematical Analysis and Applications, vol. 303, no. 2, pp. 477–485, 2005
  9. On a nonlinear elliptic eigenvalue problem
    Journal of Mathematical Analysis and Applications, vol. 307, no. 2, pp. 691–698, 2005
  10. Multiple nontrivial solutions for some fourth-order semilinear elliptic problems
    Nonlinear Analysis, vol. 60, no. 2, pp. 221–230, 2005
  11. On the existence of positive solution for a semilinear elliptic equation on Esteban?Lions domain with ?hole?
    Nonlinear Analysis, vol. 61, no. 7, pp. 1257–1268, 2005
  12. Multiple nodal solutions for elliptic equations*1
    Nonlinear Analysis, vol. 57, no. 4, pp. 615–632, 2004
  13. Multiple solutions and sign-changing solutions of a class of nonlinear elliptic equations with Neumann boundary condition*1
    Journal of Mathematical Analysis and Applications, vol. 298, no. 1, pp. 14–32, 2004
  14. Construction of pseudo-gradient vector field and sign-changing multiple solutions involving p-Laplacian
    Journal of Differential Equations, vol. 201, no. 2, pp. 287–303, 2004
  15. An elliptic problem with critical exponent and positive Hardy potential
    Abstract and Applied Analysis, vol. 2004, no. 2, pp. 91–98, 2004
  16. EXISTENCE OF SOLUTIONS FOR ASYMPTOTICALLY ‘LINEAR’ ${p}$ -LAPLACIAN EQUATIONS
    Bulletin of the London Mathematical Society, vol. 36, no. 1, pp. 81–87, 2004
  17. Communications in Contemporary Mathematics, vol. 5, no. 5, p. 761, 2003
  18. Infinitely many homoclinic orbits for the second-order Hamiltonian systems
    Applied Mathematics Letters, vol. 16, no. 8, pp. 1283–1287, 2003
  19. Existence and multiplicity of nontrivial solutions for an elliptic equation on ? N with indefinite linear part
    manuscripta mathematica, vol. 111, no. 2, pp. 221–239, 2003
  20. On sign-changing and multiple solutions of the p-Laplacian
    Journal of Functional Analysis, vol. 197, no. 2, pp. 447–468, 2003
  21. New linking theorem and elliptic systems with nonlinear boundary condition
    Nonlinear Analysis, vol. 52, no. 7, pp. 1797–1820, 2003
  22. An elliptic equation with concave and convex nonlinearities
    Nonlinear Analysis, vol. 53, no. 6, pp. 723–731, 2003
  23. Structure of ground state solutions of singular semilinear elliptic equations
    Nonlinear Analysis, vol. 55, no. 4, pp. 399–417, 2003
  24. Perturbations from Symmetric Elliptic Boundary Value Problems
    Journal of Differential Equations, vol. 185, no. 1, pp. 271–280, 2002
  25. Solutions to Semilinear Elliptic Problems with Combined Nonlinearities
    Journal of Differential Equations, vol. 185, no. 1, pp. 200–224, 2002
  26. On the role played by the Fuík spectrum in the determination of critical groups in elliptic problems where the asymptotic limits may not exist
    Nonlinear Analysis, vol. 49, no. 5, pp. 603–611, 2002
  27. DIRICHLET PROBLEM OF ELLIPTIC EQUATIONS WITH STRONG RESONANCES
    Communications in Partial Differential Equations, vol. 27, no. 9-10, pp. 2007–2030, 2002
  28. Transactions of the American Mathematical Society, vol. 354, no. 08, pp. 3207–3228, 2002
  29. On an asymptotically linear elliptic Dirichlet problem
    Abstract and Applied Analysis, vol. 7, no. 10, pp. 509–516, 2002
  30. On multiple solutions of a singular quasilinear equation on unbounded domain
    Journal of Mathematical Analysis and Applications, vol. 275, no. 2, pp. 733–746, 2002
  31. Infinitely many solutions for Hamiltonian systems
    Journal of Differential Equations, vol. 186, no. 1, pp. 141–164, 2002
  32. Positive solutions of elliptic boundary value problems without (P.S.) type assumption
    Indiana University Mathematics Journal, vol. 50, no. 3, pp. 0–0, 2001
  33. Computation of critical groups in elliptic boundary-value problems where the asymptotic limits may not exist
    Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol. 131, no. 03, p. 721, 2001
  34. Computation of critical groups in resonance problems where the nonlinearity may not be sublinear
    Nonlinear Analysis, vol. 46, no. 6, pp. 777–787, 2001
  35. Morse theory without (PS) condition at isolated values and strong resonance problems
    Calculus of Variations and Partial Differential Equations, vol. 10, no. 3, pp. 223–247, 2000
  36. Sign-Changing and Multiple Solutions Theorems for Semilinear Elliptic Boundary Value Problems with Jumping Nonlinearities
    Acta Mathematica Sinica, English Series, vol. 16, no. 1, pp. 113–122, 2000
  37. The Computations of the Critical Groups with an Application to Elliptic Resonant Problems at a Higher Eigenvalue,
    Journal of Mathematical Analysis and Applications, vol. 235, no. 1, pp. 237–259, 1999
  38. Nontrivial solutions for resonant cooperative elliptic systems via computations of critical groups
    Nonlinear Analysis, vol. 38, no. 2, pp. 229–247, 1999
  39. Remarks on a class of elliptic problems with critical exponents
    Nonlinear Analysis, vol. 32, no. 6, pp. 769–774, 1998
  40. Periodic Solutions of Symmetric Wave Equations
    Journal of Differential Equations, vol. 145, no. 2, pp. 217–241, 1998
  41. Multiple solutions for asymptotically linear boundary value problems in which the nonlinearity crosses at least one eigenvalue
    NoDEA : Nonlinear Differential Equations and Applications, vol. 5, no. 4, pp. 479–490, 1998
  42. Periodic solutions of a superlinear wave equation
    Nonlinear Analysis, vol. 29, no. 3, pp. 265–282, 1997
  43. Some minimax theorems on finding nontrivial critical points and their applications
    Nonlinear Analysis, vol. 30, no. 7, pp. 4135–4144, 1997
  44. Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
    Nonlinear Analysis, vol. 28, no. 3, pp. 419–441, 1997
  45. Existence of multiple critical points for an asymptotically quadratic functional with applications
    Abstract and Applied Analysis, vol. 1, no. 3, pp. 277–289, 1996
  46. Some Existence Results of Solutions for the Semilinear Elliptic Equations on ?N
    Journal of Differential Equations, vol. 119, no. 2, pp. 401–425, 1995
  47. Applications of Local Linking to Critical Point Theory
    Journal of Mathematical Analysis and Applications, vol. 189, no. 1, pp. 6–32, 1995
  48. Homoclinic Orbits for First Order Hamiltonian Systems
    Journal of Mathematical Analysis and Applications, vol. 189, no. 2, pp. 585–601, 1995
  49. Periodic Solutions for a Class of Nonautonomous Hamiltonian Systems
    Journal of Differential Equations, vol. 112, no. 1, pp. 226–238, 1994
  50. A comparison principle for the porous media equation with absorption
    Journal of Mathematical Analysis and Applications, vol. 165, no. 2, pp. 457–471, 1992
  51. Morse theory and asymptotic linear Hamiltonian system
    Journal of Differential Equations, vol. 78, no. 1, pp. 53–73, 1989
  52. A Remark on Expanding Maps
    Proceedings of the American Mathematical Society, vol. 85, no. 4, p. 583, 1982
  53. Indiana University Mathematics Journal, vol. 31, no. 5, Article ID 31051, 1982
  54. Erratum
    Journal of Differential Equations, vol. 45, no. 3, p. 461, 1982
  55. A new proof and an extension of a theorem of P. Rabinowitz concerning nonlinear wave equations
    Nonlinear Analysis, vol. 6, no. 2, pp. 139–149, 1982
  56. A boundary value problem for nonlinear telegraph equation
    Nonlinear Analysis, vol. 5, no. 7, pp. 705–711, 1981
  57. On the initial value problem for a nonlinear Schro¨dinger equation
    Journal of Differential Equations, vol. 42, no. 3, pp. 353–365, 1981