Ir al contenido

Documat


Sobre la unicidad de soluciones que cambian de signo para un problema Semipositone en anillos

  • Aduén, Hugo [2] ; Herrón, Sigifredo [1]
    1. [1] Universidad Nacional de Colombia

      Universidad Nacional de Colombia

      Colombia

    2. [2] Universidad de Córdoba
  • Localización: Integración: Temas de matemáticas, ISSN 0120-419X, Vol. 34, Nº. 2, 2016 (Ejemplar dedicado a: Revista Integración), págs. 207-224
  • Idioma: español
  • DOI: 10.18273/revint.v34n2-2016007
  • Títulos paralelos:
    • On the uniqueness of sign-changing solutions to a semipositone problem in annuli
  • Enlaces
  • Resumen
    • español

      En este artículo establecemos la unicidad de soluciones radiales para un problema de Dirichlet, de tipo Semipositone, en un anillo, con un número prescrito (grande) de regiones nodales. Las principales herramientas usadas en este trabajo son el método del disparo y la transformación de Prüfer.

    • English

      In this paper we establish the uniqueness of radial solutions for a semipositone Dirichlet problem in an annulus, having a prescribed large number of nodal regions. Shooting method and Prüfer transformation are the main tools used in this work.

  • Referencias bibliográficas
    • Citas [1] Aduén H., Castro A. and Cossio J., "Uniqueness of large radial solutions and existence of nonradial solutions for a superlinear...
    • [2] Aftalion A. and Pacella F., "Uniqueness and nondegeneracy for some nonlinear elliptic problems in a ball", J. Differential Equations...
    • [3] Bae S. and Ni W-M., "Existence and infinite multiplicity for an inhomogeneous semilinear elliptic equation on R^n", Math. Ann....
    • [4] Berestycki H., Caffarelli L.A. and Nirenberg L., "Inequalities for second-order elliptic equations with applications to unbounded...
    • [5] Bernard G., "An inhomogeneous semilinear equation in entire space", J. Differential Equations 125 (1996), No. 1, 184-214.
    • [6] Brezis H. and Oswald L.,"Remarks on sublinear elliptic equations", Nonlinear Anal. 10 (1986), No. 1, 55-64.
    • [7] Castro A., Chhetri M. and Shivaji R., "Nonlinear eigenvalue problems with semipositone structure", Electron. J. Differ. Equ. Conf.,...
    • [8] Castro A. and Kurepa A., "Infinitely many radially symmetric solutions to a superlinear Dirichlet problem in a ball", Proc. Amer....
    • [9] Coffman C.V., "Uniqueness of the positive radial solution on an annulus of the Dirichlet problem for Δu - u+ u^3=0", J....
    • [10] Coffman C.V. and Marcus M., "Existence and uniqueness results for semi-linear Dirichlet problems in annuli", Arch. Rational Mech....
    • [11] Cortázar C., Dolbeault J., García-Huidobro M. and Manásevich R., "Existence of sign changing solutions for an equation with a weighted...
    • [12] Cortázar C., Elgueta M. and Felmer P., "Uniqueness of positive solutions of Δu+ f(u) =0 in R^N,N ≥ 3", Arch. Rational...
    • [13] Cossio J., Herrón S. and Vélez C., "Infinitely many radial solutions for a p-Laplacian problem p-superlinear at the origen",...
    • [14] Dambrosio W., "Nodal solutions to semilinear elliptic equations in a ball", Differential Integral Equations 15 (2002), No. 8,...
    • [15] Dambrosio W., "On the multiplicity of radial solutions to superlinear Dirichlet problems in bounded domains", J. Differential...
    • [16] Esteban M.J., "Multiple solutions of semilinear elliptic problems in a ball", J. Differential Equations 57 (1985), No. 1, 112-137.
    • [17] Felmer P., Martínez S. and Tanaka K., "Uniqueness of radially symmetric positive solutions for -Δu+ u=u^p in an annulus",...
    • [18] Ferreira L.C.F and Montenegro M., "Existence and asymptotic behavior for elliptic equations with singular anisotropic potentials",...
    • [19] García-Huidobro M., Manásevich R. and Zanolin F., "Infinitely many solutions for a Dirichlet problem with a nonhomogeneous p-Laplacian...
    • [20] Hartman P., Ordinary differential equations, Second ed. SIAM, Philadelphia, PA, 2002.
    • [21] Hastings S.P. and McLeod J.B., Classical methods in ordinary differential equations: with applications to boundary value problems, AMS,...
    • [22] Kajikiya R., "Necessary and sufficient condition for existence and uniqueness of nodal solutions to sublinear elliptic equations",...
    • [23] Kajikiya R., "Sobolev norm of radially symmetric oscillatory solutions for super-linear elliptic equations", Hiroshima Math....
    • [24] Kwong M.K., "Uniqueness of positive solutions of Δu - u+ u^p=0 in R^n", Arch. Rational Mech. Anal. 105 (1989), No. 3,...
    • [25] Kwong M.K. and Zhang L.Q., "Uniqueness of the positive solution of Δu+ f(u)= 0 in an annulus", Differential Integral...
    • [26] Lions P.-L., "On the existence of positive solutions of semilinear elliptic equations", SIAM Rev. 24 (1982), No. 4, 441-467.
    • [27] McLeod K., "Uniqueness of positive radial solutions of Δu+ f(u)= 0 in R^n, II", Trans. Amer. Math. Soc. 339 (1993), No....
    • [28] McLeod K. and Serrin J., "Uniqueness of positive radial solutions of Δu+ f(u)= 0 in R^n", Arch. Rational Mech. Anal....
    • [29] Naito Y., "Bounded solutions with prescribed numbers of zeros for the Emden-Fowler differential equation", Hiroshima Math. J....
    • [30] Ni W-M., "Uniqueness of solutions of nonlinear Dirichlet problems", J. Differential Equations 50 (1983), No. 2, 289-304.
    • [31] Ni W-M. and Nussbaum R.D., "Uniqueness and nonuniqueness for positive radial solutions of Δu+ f(u,r)= 0", Comm. Pure...
    • [32] Sankar L., Sasi S. and Shivaji R., "Semipositone problems with falling zeros on exterior domains", J. Math. Anal. Appl. 401 (2013),...
    • [33] Tanaka S., "Uniqueness and nonuniqueness of nodal radial solutions of sublinear elliptic equations in a ball", Nonlinear Anal....
    • [34] Tanaka S., "Uniqueness of nodal radial solutions of superlinear elliptic equations in a ball", Proc. Roy. Soc. Edinburgh Sect....
    • [35] Tanaka S., "Uniqueness of sign-changing radial solutions for Δu-u+ |u|^(p-1) u = 0 in some ball and annulus", J. Math....
    • [36] Tang M., "Uniqueness of positive radial solutions for Δu- u+ u^p=0 on an annulus", J. Differential Equations 189 (2003),...
    • [37] Walter W., Ordinary differential equations, Springer-Verlag, New York, 1998.
    • [38] Yadava S.L., "Uniqueness of positive radial solutions of a semilinear Dirichlet problem in an annulus", Proc. Roy. Soc. Edinburgh...
    • [39] Yanagida E., "Uniqueness of positive radial solutions of Δu+g(r)u+h(r)u^p=0 in R^n", Arch. Rational Mech. Anal. 115...
    • [40] Yanagida E., "Uniqueness of positive radial solutions of Δu+ f(u,|x|)= 0", Nonlinear Anal. 19 (1992), No. 12, 1143-1154.

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno