Publicaciones de Marta García-Huidobro:

  1. On the solution of a nonlinear diffusion equation. Notas de la Sociedad Matemática de Chile, 5, N. 2 1986 35-56.
  2. A multiplicity result for an n-th order two-point b.v.p. with jumping nonlinearities. Diff and Int Equations, 4, N. 6, (1991) 1281-1292.
  3. Multiplicity of solutions for a class of fourth order nonlinear B.V.P. (Con R. Manásevich.) Annales de la Faculté de Sciences de Toulouse. II, N.1 (1993) 53-72.
  4. Strongly nonlinear second order ODE's with unilateral conditions. (Con R. Manásevich y F. Zanolin.) Diff and Int Equations, 6, N. 5 (1993) 1057-1078.
  5. A Fredholm-like result for strongly nonlinear second order ODE's. (Con R. Manásevich y F. Zanolin.) J. Differential Equations, 114, (1994) 132-167.
  6. On a generalized Fucik Spectrum for strongly nonlinear second order ODE's and an existence result. (Con R. Manásevich y F. Zanolin.) Journal of Computational and Applied Math., 52, (1994) 219-239.
  7. Existence of Positive Regular Solutions for a Dirichlet Problem with an Asymptotically Homogeneous Operator (Con R. Manásevich y P. Ubilla.) E. Journal of Diff. Equat., 1995, N. 10 (1995) 1-22.
  8. Strongly nonlinear second-order ODE's with rapidly growing terms. (Con R. Manásevich y F. Zanolin.) Journal of Math. Anal. and Appl., N. 202 (1996) 1-26. Disponible como Informe Técnico PUC/FM- 5/95.
  9. On principal eigenvalues of p-Laplacian like operators. (Con R. Manásevich y K. Schmitt.) Journal of Differential Equations, 130, (1996) 235-246.
  10. Multiplicity of Solutions for a Class of Nonlinear 2-nd Order Equations (con P. Ubilla.) Nonlinear Analysis T.M.A., 28, N. 9 (1997) 1509-1520. Disponible como Informe Técnico PUC/FM- 6/95.
  11. Some bifurcation results for a class of p-Laplacian like operators. (Con R. Manásevich y K. Schmitt.)  Differential and Integral Equations, 10, N. 1 (1997) 51-66.
  12. Infinitely many solutions for a Dirichlet problem with a non homogeneous p-Laplacian like operator in a ball. (Con R. Manásevich y F. Zanolin.) Advances in Differential Equations, 2, N. 2 (1997) 203-230.
  13. Classification of Positive Singular Solutions for a Class of Semilinear Elliptic Systems. (Con C. Yarur.) Advances in Differential Equations,2, N. 3 (1997) 383-402.
  14. Existence and Nonexistence of Positive Singular Solutions for a Class of Semilinear Elliptic Systems. (Con R. Manásevich, E. Mitidieri y C. Yarur.) Arch. Rat. Mech. Anal.140,(1997) 253-284.
  15. On Positive Singular Solutions for a Class of Non Homogeneous p-Laplacian like Equations. (Con R. Manásevich y C. Yarur.) Journal of Differential Equations, 147, N. 1 (1998) 23-51.
  16. Existence of positive radial solutions for a weakly coupled system via blow up. (Con I. Guerra y R. Manásevich.). Journal of Abstract and Applied Analysis, 3 (1998) 105-131.
  17. Positive radial solutions of nonlinear elliptic-like partial differential equations on a ball. (Con R. Manásevich y K. Schmitt.) Nonlinear Analysis T.M.A. 35, N. 2 (1999) 175-190.
  18. Positive solutions of small norm to a nonhomogeneous elliptic inclusion problem. (Con Ph. Clément y R. Manásevich.)  Advances in Differential Equations, 4, N. 1 (1999) 71-114.
  19. On principal eigenvalues for quasilinear elliptic differential operators: An Orlicz-Sobolev space setting. (Con R. Manásevich, V. K. Le y K. Schmitt.) Nonlinear Differential Equations and Applications, 6, N. 2 (1999) 119-246.
  20. Existence of positive singular solutions for a class of quasilinear elliptic equations. (Con R. Manásevich y C. Yarur.) Journal of Computational and Applied Mathematics, 113 (2000), N.1-2, 329—352.
  21. Ground states and free boundary value problems for the  n-Laplacian. ( Con R. Manásevich, J. Serrin, M. Tang y C. Yarur) Journal of Functional Anal. 172, N. 1 (2000), 177--201.
  22. Mountain Pass Type Solutions for Quasilinear Elliptic Equations. (Con Ph. Clément, R. Manásevich y K. Schmitt) Calculus of Variations PDE, 11 (2000) 1, 33-62.
  23. Existence of Ground States for Quasilinear Nonhomogeneous Elliptic Systems. (Con R. Manásevich) Journal of Math Anal and Applications 251 (2000) 669-694.
  24. Behavior of positive radial solutions for quasilinear elliptic equations. (Con R. Manásevich y C. Yarur) Proceedings of the American Math. Soc., 129 (2001) N. 2, 381-388.
  25. Behavior of positive radial solutions of a quasilinear equation with a weighted Laplacian, Proceedings of the USA-Chile Workshop on Nonlinear Analysis, Electronic Journal of Differential Equations, Conference 06, 2001, pp. 173-187.
  26. A Nonresonance Result for Strongly Nonlinear Second Order Ode's. (Con M. Cuesta) Advances in Differential Equations Volume 6, N. 10, 2001, pp 1219–1254.
  27. Radial solutions for a quasilinear equation via Hardy inequalities. (Con A. Kufner, R. Manásevich y C. Yarur) Advances in Differential Equations, Volume 6, Number 12, 2001 p. 1517-1540.
  28. Solvability for a Non-linear Three-Point Boundary Value problem with p-Laplacian-Like Operator at Resonance. (Con Ch. Gupta y R. Manásevich) Abstract and Applied Analysis, Vol. 6 , #4, 2001, p 191-214.
  29. Regular and singular solutions of a quasilinear equation with weights. (Con M. Bidaut-Véron)  Asymptotic Analysis, Vol 28 (2001), N. 2, pp 115—150.
  30. Splitting the Fucik spectrum and counting solutions of a quasilinear ODE. (Con  R. Manásevich y F. Zanolin) Dynamic Systems and Applications.
  31. Mountain Pass Type Solutions  for Quasilinear Elliptic inclusions, . (Con Ph. Clément y R. Manásevich). Comm. In Contemporary Mathematics, Vol 4, N. 4 (2002), pp607—637
  32. A homotopy along p for systems with a vector p-Laplace operator, (Con R. Manásevich  y J. R. Ward) Differential and Integral Equations, 8 (2003), N. 3, pp337--356..
  33. A three point boundary value problem containing the operator –(j(u’))’, (Con R. Manásevich) Discrete and Continuous Dynamical Systems, Proceedings of the fourth international conference on dynamical systems and differential equations, (2003), 313-319.
  34. Existence results for p-Laplacian-like systems of O.D.E.’s (Con R. Manásevich y.M. Otani ) Funkcialaj Ekvacioj 46 (2003) 2, 253-285.
  35. On a semilinear parabolic system of reaction-diffusion with absorption, (Con M.F. Bidaut-Véron y C. Yarur), Asymptotic Analysis, Vol. 36, Numbers 3-4  (2003) , 241-283.
  36. An m‑point boundary value problem of Neumann type for a p‑Laplacian like operator, (Con Ch. Gupta y R. Manásevich). Nonlinear Analysis 56 (2004) 1071– 1089.
  37. A p-Laplacian problem with a multi-point   boundary condition (2004) (Con R. Man\'asevich, Ping Yan, y Meirong Zhang). Nonlinear Analysis TMA., 59 (2004), 319--333.
  38. Bifurcation through higher order terms for problems at resonance (Con R. Manásevich  y J. R. Ward). The first 60 years of nonlinear analysis of Jean Mawhin, 77–87, World Sci. Publ., River Edge, NJ, 2004.
  39.  Singular solutions to a quasilinear ODE. . (Con Francesca Dalbono).   Adv. Differential Equations 10 (2005), no. 7, 747–765.
  40. On positive solutions of a quasilinear equation containing a weighted Laplacian. (Con R. Manásevich y C. Yarur). Boletim da Sociedade Paranaense de Matemática, vol 22, N 1, 57--65.
  41. Qualitative properties of ground states for singular elliptic equations with weights, (Con R. Manásevich, P. Pucci y J. Serrin). Ann. Mat. Pura Appl. (4) 185 (2006), suppl., S205–S243..
  42. On the uniqueness of ground state solutions of a semilinear equation containing a weighted Laplacian. . (Con C.  Cortázar).  Commun. Pure Appl. Anal. 5 (2006), no. 4, 813–826.
  43. A  Dirichlet-Neumann m-Point bvp with a p-Laplacian Like operator. (Con R. Manásevich  and Ch. Gupta) Nonlinear Anal. 62 (2005), no. 6, 1067–1089.
  44. On the structure of positive radial solutions to an equation containing a p-Laplacian with weight. (Con R. Manásevich y C. YarurJ. Differential Equations
    45.  223 (2006), no. 1, 51–95.
  45. On regions of existence and nonexistence of solutions for a system of p-q-Laplacians. (Con Ph. Clément, I. Guerra y R. Manásevich). Asymptot. Anal. 48 (2006), no. 1-2, 1–18.
  46. Some multipoint boundary value problems of Neumann-Dirichlet type involving a multipoint p-Laplace like operator. (Con R. Manásevich  and Ch. Gupta). J. Math. Anal. Appl. 333 (2007), no. 1, 247–264.
  47. Vector p-Laplacian like operators, pseudo-eigenvalues, and bifurcation. (Con R. Manásevich y J. Ward). Discrete Contin. Dyn. Syst. 19 (2007), no. 2, 299–321.
  48. Some remarks on infinite-dimensional nonlinear elliptic problems. Proceedings of the 2006 International Conference in honor of Jacqueline Fleckinger, 81–93. (Con Ph. Clément y R. Manásevich). Electron. J. Differ. Equ. Conf., 16, Texas State Univ.–San Marcos, Dept. Math., San Marcos, TX, 2007.
  49. Behavior of positive unbounded solutions for a class of nonhomogeneous p-Laplacian like equations. (Con C. Yarur). Nonlinear Anal. 69 (2008), no. 1, 349–362.
  50. On the uniqueness of positive solutions of a quasilinear equation containing a weighted p-Laplacian, the superlinear case. (Con D. Henao). Commun. Contemp. Math. 10 (2008), no. 3, 405–432.
  51. Positive solutions for equations and systems with p-Laplace-like operators.  (Con R. Manásevich y J. Ward).  Adv. Differential Equations 14 (2009), no. 5-6, 401–432.
  52. On semilinear elliptic problems involving critical exponents. (Con C. Yarur). Nonlinear Anal. 70 (2009), no. 8, 2953–2964.
  53. Positive solutions for a class of equations with a p-Laplace like operator and weights.(Con P. Drabek y R. Manásevich). Nonlinear Anal. 71 (2009), no. 3-4, 1281–1300.
  54. Periodic solutions and asymptotic behavior in Liénard systems with p-Laplacian operators.  (Con R. Manásevich y J. Ward).  . Differential Integral Equations 22 (2009).
  55. On the uniqueness of the second bound state solution of a semilinear equation.(Con C. Cortázar y C. Yarur). Ann. Inst. H. Poincaré Anal. Non Linéaire 26 (2009), no. 6, 2091–2110.
  56. On quasilinear Brezis-Nirenberg type problems with weights. (Con C. Yarur). Adv. Differential Equations 15 (2010), no. 5-6, 401–436.
  57. Backward blow-up estimates and initial trace for a parabolic system of reaction-diffusion.(Con M. Bidaut-Véron y C. Yarur). Adv. Nonlinear Stud. 10 (2010), no. 3, 707–728.
  58. Existence of singular solutions for a Dirichlet problem containing a Dirac mass.(Con C. Yarur). Nonlinear Anal. 74 (2011), no. 8, 2831–2843.
  59. Large solutions of elliptic systems of second order and applications to the biharmonic equation}. (Con M. F. Bidaut-Véron y C. Yarur). Por aparecer en Discrete and Continuous Dynamical Systems.
  60. On the uniqueness of sign changing bound state solutions of a semilinear equation. (Con C. Cort\'azar and C. Yarur). Por aparecer en Annales de l'Institut Henri Poincaré - Analyse non linéaire .

 

 

 

Otras Publicaciones

  1. Some duality theorems for p-Laplacian like operators. (Con R. Manásevich y F. Zanolin.) Preprint 1995.
  2. Algunas propiedades de las contracciones extremales en Espacios de Hilbert. Informe Técnico, 1987, Pontificia Universidad Católica de Chile.
  3. Una cota inferior para el número de soluciones de un  problema de condiciones de borde para Ly+f(y)=0. Tesis Doctoral, 1988.