Positive solutions for the 1-dimensional generalized p-Laplacian involving a real parameter
DOI:
https://doi.org/10.22199/S07160917.1998.0002.00004Keywords:
Positive solution, Strongly nonlinear, Superlinear and sublinear problemAbstract
In this paper we study existence and multiplicity of positive solutions of the Dirichlet problem
References
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[2] De Figueiredo D.G., Lions P.L. and Nussbaum R.D., A priori estimates and existence of positive solut'ions of semilineaT elliptic equations. J. Math. Pures Appl., 61, pp. 41-63, (1982).
[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).
[2] De Figueiredo D.G., Lions P.L. and Nussbaum R.D., A priori estimates and existence of positive solut'ions of semilineaT elliptic equations. J. Math. Pures Appl., 61, pp. 41-63, (1982).
[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.
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