Kanishka Perera

Articles in Scholarly Journals [Incomplete List]

  1. Positive solutions of multiparameter semipositone p-Laplacian problems
    Journal of Mathematical Analysis and Applications, vol. 338, no. 2, pp. 1397–1400, 2008
  2. Positive solutions in the sense of distributions of singular boundary value problems
    Proceedings of the American Mathematical Society, vol. 136, no. 01, pp. 279–287, 2008
  3. Existence and Nonexistence Results for a Class of Quasilinear Elliptic Systems
    Boundary Value Problems, vol. 2007, Article ID 85621, 5 pages, 2007
  4. pp-Laplacian problems with critical Sobolev exponents
    Nonlinear Analysis, vol. 66, no. 2, pp. 454–459, 2007
  5. Multiple positive solutions of singular Dirichlet problems on time scales via variational methods
    Nonlinear Analysis: Theory, Methods & Applications, vol. 67, no. 2, pp. 368–381, 2007
  6. Nonlinear integral equations singular in the dependent variable
    Applied Mathematics Letters, vol. 20, no. 11, pp. 1137–1141, 2007
  7. Existence of multiple positive solutions for second order nonlinear dynamic BVPs by variational methods
    Journal of Mathematical Analysis and Applications, vol. 331, no. 2, pp. 1263–1274, 2007
  8. Nontrivial solutions of Kirchhoff-type problems via the Yang index
    Journal of Differential Equations, vol. 221, no. 1, pp. 246–255, 2006
  9. Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow
    Journal of Mathematical Analysis and Applications, vol. 317, no. 2, pp. 456–463, 2006
  10. Existence and multiplicity of positive solutions for singular quasilinear problems
    Journal of Mathematical Analysis and Applications, vol. 323, no. 2, pp. 1238–1252, 2006
  11. Proceedings of the American Mathematical Society, vol. 134, no. 03, pp. 817–825, 2006
  12. A variational approach to singular quasilinear elliptic problems with sign changing nonlinearities
    Applicable Analysis, vol. 85, no. 10, pp. 1201–1206, 2006
  13. Basic properties of Sobolev's spaces on time scales
    Advances in Difference Equations, vol. 2006, Article ID 38121, 14 pages, 2006
  14. Multiple positive solutions of singular p-Laplacian problems by variational methods
    Boundary Value Problems, vol. 2005, no. 3, pp. 377–382, 2005
  15. Multiple positive solutions of singular discrete p-Laplacian problems via variational methods
    Advances in Difference Equations, vol. 2005, no. 2, pp. 93–99, 2005
  16. Positive Solutions of Higher-Order Singular Problems
    Differential Equations, vol. 41, no. 5, pp. 739–743, 2005
  17. On the Fu??k Spectrum of the p-Laplacian
    Nonlinear Differential Equations and Applications, vol. 11, no. 2, 2004
  18. Multiple positive solutions of singular and nonsingular discrete problems via variational methods
    Nonlinear Analysis, vol. 58, no. 1-2, pp. 69–73, 2004
  19. Computation of critical groups in Fucík resonance problems
    Journal of Mathematical Analysis and Applications, vol. 279, no. 1, pp. 317–325, 2003
  20. Nontrivial Solutions of p -Superlinear p -Laplacian Problems
    Applicable Analysis, vol. 82, no. 9, pp. 883–888, 2003
  21. Double resonance problems with respect to the Fucik spectrum
    Indiana University Mathematics Journal, vol. 52, no. 1, pp. 1–18, 2003
  22. One-sided resonance for quasilinear problems with asymmetric nonlinearities
    Abstract and Applied Analysis, vol. 7, no. 1, pp. 53–60, 2002
  23. Sign-changing and multiple solutions for the p-Laplacian
    Abstract and Applied Analysis, vol. 7, no. 12, pp. 613–625, 2002
  24. 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
  25. Critical Groups in Saddle Point Theorems without a Finite Dimensional Closed Loop
    Mathematische Nachrichten, vol. 243, no. 1, pp. 156–164, 2002
  26. Mathematische Nachrichten, vol. 246-247, no. 1, pp. 156–169, 2002
  27. Some Remarks on the Fucík Spectrum of the p-Laplacian and Critical Groups
    Journal of Mathematical Analysis and Applications, vol. 254, no. 1, pp. 164–177, 2001
  28. Solution of nonlinear equations having asymptotic limits at zero and infinity
    Calculus of Variations and Partial Differential Equations, vol. 12, no. 4, pp. 359–369, 2001
  29. Computation of critical groups in resonance problems where the nonlinearity may not be sublinear
    Nonlinear Analysis, vol. 46, no. 6, pp. 777–787, 2001
  30. Proceedings of the American Mathematical Society, vol. 129, no. 08, pp. 2301–2309, 2001
  31. Applications of Morse theory to the solution of semilinear problems depending on C1 functionals
    Nonlinear Analysis, vol. 45, no. 1, pp. 1–9, 2001
  32. 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
  33. Existence and multiplicity results for a Sturm–Liouville equation asymptotically linear at -8 and superlinear at +8
    Nonlinear Analysis, vol. 39, no. 6, pp. 669–684, 2000
  34. A critical point theorem with a relaxed boundary condition and critical groups
    Nonlinear Analysis, vol. 39, no. 6, pp. 685–692, 2000
  35. Nontrivial solutions of elliptic semilinear equations¶at resonance
    manuscripta mathematica, vol. 101, no. 3, pp. 301–311, 2000
  36. A generalization of the Amann-Zehnder theorem to nonresonance problems with jumping nonlinearities
    Nonlinear Differential Equations and Applications, vol. 7, no. 4, pp. 361–367, 2000
  37. Applications of local linking to asymptotically linear elliptic problems at resonance
    NoDEA : Nonlinear Differential Equations and Applications, vol. 6, no. 1, pp. 55–62, 1999
  38. Semilinear elliptic equations having asymptotic limits at zero and infinity
    Abstract and Applied Analysis, vol. 4, no. 4, pp. 231–242, 1999
  39. Morse index estimates in saddle point theorems without a finite dimensional closed loop
    Indiana University Mathematics Journal, vol. 47, no. 3, pp. 0–0, 1998
  40. Homological local linking
    Abstract and Applied Analysis, vol. 3, no. 1-2, pp. 181–189, 1998
  41. Critical groups of critical points produced by local linking with applications
    Abstract and Applied Analysis, vol. 3, no. 3-4, pp. 437–446, 1998
  42. Critical Groups of Pairs of Critical Points Produced by Linking Subsets
    Journal of Differential Equations, vol. 140, no. 1, pp. 142–160, 1997
  43. Multiplicity Results for Some Elliptic Problems with Concave Nonlinearities
    Journal of Differential Equations, vol. 140, no. 1, pp. 133–141, 1997