Siegfried Carl

Articles in Scholarly Journals [Incomplete List]

  1. Vector Quasi-Hemivariational Inequalities and Discontinuous Elliptic Systems
    Journal of Global Optimization, vol. 34, no. 4, pp. 609–634, 2006
  2. Quasilinear elliptic inclusions of Clarke's gradient type under local growth conditions
    Applicable Analysis, vol. 85, no. 12, pp. 1527–1540, 2006
  3. Existence results for nonlocal and nonsmooth hemivariational inequalities
    Journal of Inequalities and Applications, vol. 2006, Article ID 79532, 13 pages, 2006
  4. Nonsmooth and nonlocal differential equations in lattice-ordered Banach spaces
    Boundary Value Problems, vol. 2005, no. 2, pp. 165–179, 2005
  5. Existence, comparison, and compactness results for quasilinear variational-hemivariational inequalities
    International Journal of Mathematics and Mathematical Sciences, vol. 2005, no. 3, pp. 401–417, 2005
  6. Existence and comparison results for variational-hemivariational inequalities
    Journal of Inequalities and Applications, vol. 2005, no. 1, pp. 33–40, 2005
  7. On the existence of minimal and maximal solutions of discontinuous functional Sturm-Liouville boundary value problems
    Journal of Inequalities and Applications, vol. 2005, no. 4, pp. 403–412, 2005
  8. Existence and comparison principles for general quasilinear variational?hemivariational inequalities
    Journal of Mathematical Analysis and Applications, vol. 302, no. 1, pp. 65–83, 2005
  9. Existence and comparison results for noncoercive and nonmonotone multivalued elliptic problems
    Nonlinear Analysis, 2005
  10. Monotone penalty approximation of extremal solutions for quasilinear noncoercive variational inequalities
    Nonlinear Analysis, vol. 57, no. 2, pp. 311–322, 2004
  11. Enclosure results for quasilinear systems of variational inequalities
    Journal of Differential Equations, vol. 199, no. 1, pp. 77–95, 2004
  12. Sub-supersolution method for quasilinear parabolic variational inequalities
    Journal of Mathematical Analysis and Applications, vol. 293, no. 1, pp. 269–284, 2004
  13. Fixed point theorems for multifunctions with applications to discontinuous operator and differential equations
    Journal of Mathematical Analysis and Applications, vol. 297, no. 1, pp. 56–69, 2004
  14. Extremality in Solving General Quasilinear Parabolic Inclusions
    Journal of Optimization Theory and Applications, vol. 123, no. 3, pp. 463–477, 2004
  15. Drift-diffusion in electrochemistry: thresholds for boundary flux and discontinuous optical generation
    Applicable Analysis, vol. 83, no. 9, pp. 915–931, 2004
  16. Fixed point theorems for multivalued operators and application to discontinuous quasilinear BVP's
    Applicable Analysis, vol. 82, no. 10, pp. 1017–1028, 2003
  17. Extremal solutions of quasilinear parabolic inclusions with generalized Clarke's gradient
    Journal of Differential Equations, vol. 191, no. 1, pp. 206–233, 2003
  18. Trapping regions for discontinuously coupled systems of evolution variational inequalities and application
    Journal of Mathematical Analysis and Applications, vol. 282, no. 1, pp. 421–435, 2003
  19. Quasilinear elliptic inclusions of hemivariational type: Extremality and compactness of the solution set
    Journal of Mathematical Analysis and Applications, vol. 286, no. 1, pp. 147–159, 2003
  20. Generalized quasilinearization and semilinear parabolic problems
    Nonlinear Analysis, vol. 48, no. 7, pp. 947–960, 2002
  21. Trapping region for discontinuous quasilinear elliptic systems of mixed monotone type
    Nonlinear Analysis, vol. 51, no. 5, pp. 843–863, 2002
  22. Generalized quasilinearization method for reaction–diffusion equations under nonlinear and nonlocal flux conditions
    Journal of Mathematical Analysis and Applications, vol. 271, no. 1, pp. 182–205, 2002
  23. Elliptic problems with lack of compactness via a new fixed point theorem
    Journal of Differential Equations, vol. 186, no. 1, pp. 122–140, 2002
  24. Extremal solutions of a class of dynamic boundary hemivariational inequalities
    Journal of Inequalities and Applications, vol. 7, no. 4, pp. 479–502, 2002
  25. Sign-changing and multiple solutions for the p-Laplacian
    Abstract and Applied Analysis, vol. 7, no. 12, pp. 613–625, 2002
  26. Journal of Optimization Theory and Applications, vol. 109, no. 1, pp. 27–50, 2001
  27. Operator equations in ordered sets and discontinuous implicit parabolic equations1
    Nonlinear Analysis, vol. 43, no. 5, pp. 605–622, 2001
  28. Existence and comparison results for quasilinear parrabolic inclusions woth state-dependent subdifferentials
    Optimization, vol. 49, no. 1, pp. 51–66, 2001
  29. Extremal solutions of parabolic hemivariational inequalities
    Nonlinear Analysis, vol. 47, no. 8, pp. 5077–5088, 2001
  30. Existence of Extremal Solutions of Boundary Hemivariational Inequalities
    Journal of Differential Equations, vol. 171, no. 2, pp. 370–396, 2001
  31. Discontinuous reaction-diffusion equations under discontinuous and nonlocal flux conditions*1
    Mathematical and Computer Modelling, vol. 32, no. 11-13, pp. 1333–1344, 2000
  32. Extremality results for first-order discontinuous functional differential equations
    Computers & Mathematics with Applications, vol. 40, no. 10-11, pp. 1217–1232, 2000
  33. Journal of Optimization Theory and Applications, vol. 104, no. 2, pp. 323–342, 2000
  34. On discontinuous implicit and explicit abstract impulsive boundary value problems1
    Nonlinear Analysis, vol. 41, no. 5-6, pp. 701–723, 2000
  35. Operator and Differential Equations in Ordered Spaces???
    Journal of Mathematical Analysis and Applications, vol. 234, no. 1, pp. 31–54, 1999
  36. On Discontinuous First Order Implicit Boundary Value Problems
    Journal of Differential Equations, vol. 148, no. 1, pp. 100–121, 1998
  37. On Discontinuous Implicit Evolution Equations,
    Journal of Mathematical Analysis and Applications, vol. 219, no. 2, pp. 455–471, 1998
  38. Elliptic equations with discontinuous nonlinearities in N1
    Nonlinear Analysis, vol. 31, no. 1-2, pp. 217–227, 1998
  39. On second order discontinuous implicit boundary value problems with discontinuous implicit boundary conditions1
    Nonlinear Analysis, vol. 33, no. 3, pp. 261–279, 1998
  40. Quasilinear elliptic equations with discontinuous nonlinearities in R
    Nonlinear Analysis, vol. 30, no. 3, pp. 1743–1751, 1997
  41. Existence of extremal periodic solutions for quasilinear parabolic equations
    Abstract and Applied Analysis, vol. 2, no. 3-4, pp. 257–270, 1997
  42. Smoothing and monotone interations for elliptic differential inclusions
    Applied Mathematics and Computation, vol. 74, no. 1, pp. 15–35, 1996
  43. Nonlinear elliptic differential inclusions governed by state-dependent subdifferentials
    Nonlinear Analysis, vol. 25, no. 7, pp. 729–745, 1995
  44. The weak upper and lower solution method for quasilinear elliptic equations with generalized subdifferentiable perturbations
    Applicable Analysis, vol. 56, no. 3, pp. 263–278, 1995
  45. On the existence of extremal solutions for discontinuous elliptic equations under discontinuous flux conditions1
    Nonlinear Analysis, vol. 23, no. 12, pp. 1499–1506, 1994
  46. Boundary value problems with discontinuities and monotone discretization
    Journal of Computational and Applied Mathematics, vol. 51, no. 3, pp. 293–303, 1994
  47. On a generalized iteration method with applications to fixed point theorems and elliptic systems involving discontinuities
    Nonlinear Analysis, vol. 20, no. 2, pp. 157–167, 1993
  48. An existence result for elliptic differential inclusions with discontinuous nonlinearity
    Nonlinear Analysis, vol. 18, no. 5, pp. 471–479, 1992
  49. A combined variational-monotone iterative method for elliptic boundary value problems with discontinuous nonlinearity
    Applicable Analysis, vol. 43, no. 1, pp. 21–45, 1992
  50. Monotone enclosure for elliptic and parabolic sytems with nonmonotone nonlinearities
    Journal of Mathematical Analysis and Applications, vol. 151, no. 1, pp. 190–202, 1990
  51. On a parabolic boundary value problem with discontinuous nonlinearity
    Nonlinear Analysis, vol. 15, no. 11, pp. 1091–1095, 1990
  52. The monotone iterative technique for a parabolic boundary value problem with discontinuous nonlinearity
    Nonlinear Analysis, vol. 13, no. 12, pp. 1399–1407, 1989
  53. Ein konstruktiver Existenzsatz für Randwertprobleme elliptischer Differentialgleichungen zweiter Ordnung mit unstetiger Nichtlinearität
    Mathematische Nachrichten, vol. 138, no. 1, pp. 55–65, 1988
  54. A monotone iterative scheme for nonlinear reaction-diffusion systems having nonmonotone reaction terms
    Journal of Mathematical Analysis and Applications, vol. 134, no. 1, pp. 81–93, 1988
  55. Komplexe Methoden zur Untersuchung der Verteilung stationärer Punkte von Lösungen partieller Differentialgleichungen höherer Ordnung in der Ebene
    Mathematische Nachrichten, vol. 79, no. 1, pp. 295–298, 1977