Positive solutions for the 1-dimensional generalized p-Laplacian involving a real parameter

Authors

  • Edson Arrázola IMECC-UNICAMP.
  • Pedro Ubilla Universidad de Santiago de Chile.

DOI:

https://doi.org/10.22199/S07160917.1998.0002.00004

Keywords:

Positive solution, Strongly nonlinear, Superlinear and sublinear problem

Abstract

In this paper we study existence and multiplicity of positive solutions of the Dirichlet problem

Author Biography

Pedro Ubilla, Universidad de Santiago de Chile.

Departamento de Matemática.

References

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[3] Garcia-Huidobro M., Manasevich R. and Ubilla P., Existence of Positive Solutions for some Dirichlet Problems with an Asymptotically Homogeneous Operator. Elec. J. of Diff. Equat., 10, pp. 1-22, (1995).

[4] Garcia-Huidobro M. and Ubilla P., Multiplicity of solutions for a class of nonlinear second order equations. Nonlinear Analysis T.M.A., Vol. 28, N° 9, pp. 1509-1520, (1997).

[5] Guedda M. and Veron L., Bifurcation phenomena associated to the p-Laplace operator. Trans. Amer. Math. Soc., 310, pp. 419-431, (1988).

[6] Lions P. L., On the existence of positive solutions of semilinear Elliptic Equations. Siam Review, 24, pp. 441-467, (1982).

[7] Narukawa K. and Suzuky T., Nonlinear Eigenvalue Pmblem for a Modified Capillary Surface Equation. Funkcialaj Ekvacioj, 37, pp. 81-100, (1994).

[8] Resnick S. l., Extreme Values, Regular Variation and Point Processes. Applied Probability, Vol 4, Springer Verlag, (1987).

[9] Seneta E., Regularly Varying functions. Lecture Notes in Mathematics, 508, Springer Verlag, (1976).

[10] Ubilla P., Multiplicity results for the 1-dimensional generalized p-Laplacian. J. Math. Anal. and Appl., 190, pp. 611-623, (1995).

Published

2018-04-04

How to Cite

[1]
E. Arrázola and P. Ubilla, “Positive solutions for the 1-dimensional generalized p-Laplacian involving a real parameter”, Proyecciones (Antofagasta, On line), vol. 17, no. 2, pp. 189-200, Apr. 2018.

Issue

Section

Artículos