Nonexistence of nontrivial solutions for an asymmetric problem with weights
DOI:
https://doi.org/10.22199/S0716-09172000000100004Keywords:
Dirichlet boundary condition, Neumann boundary condition, periodic boundary condition, p-Laplacian operators, elliptic problem, condición de acotamiento de Dirichlet, condición de acotamiento de Neumann, condición periódica de acotamiento.Abstract
In this paper we establish a nonexistence result for an elliptic problem involving the one-dimentional p-Laplacian operator with asymmetric second member of the equation.References
[1] A. Anane, Simplicité et isolation de la premiere valeure propre du p-laplacien avec poids, C. R. Acad. Sci. Paris , t. 305, pp 725-728, (1987).
[2] A. Anane, Etude des valeurs propres et de la résonance pour l’opérateur p-laplacien, these de Doctorat, Université Libre de Bruxelles, (1988).
[3] M. Arias, J. Campos & J.-P. Gossez, On the antimaximum principle and the Fucik spectrum for the Neumann p-Laplacien, (to appear in Diff. Int. Equa.).
[4] P. Drábek. Solvability and bifurcations of nonlinear equations, Pitman Resarch Notes in Mathematics, 264 (1992).
[5] D. G. de Figueredo & J.-P. Gossez, On the first curve of the Fucik spectrum of an elliptic operator, Diff. Int. Equa., volume 7, number 5, pp-1285-1302, (1994).
[6] M. del Pino, M. Elgueta & R. Manasevich, A homotopic deformation along p of a Leray-Shauder degree result and existence for (|u'|p?2u')' + f(t; u) = 0; u(0) = u(T) = 0; p > 1. J. Diff. Eq. , 80, pp 1-13, (1989).
[7] Del Pino, Manasevich & Murua. ...,Nonlinear Analysis 18, pp 79-92, (1992).
[8] P. Tolksdorf, Regularity for more general class of quasilinear elliptic equation, J. Diff. Eq. , 8, pp 773-817, (1983).
[9] J. L.Vasquez, A strong maximum principle for quasilinear equations, Appl. Math. Optim., 12, pp 191-202, (1984).
[2] A. Anane, Etude des valeurs propres et de la résonance pour l’opérateur p-laplacien, these de Doctorat, Université Libre de Bruxelles, (1988).
[3] M. Arias, J. Campos & J.-P. Gossez, On the antimaximum principle and the Fucik spectrum for the Neumann p-Laplacien, (to appear in Diff. Int. Equa.).
[4] P. Drábek. Solvability and bifurcations of nonlinear equations, Pitman Resarch Notes in Mathematics, 264 (1992).
[5] D. G. de Figueredo & J.-P. Gossez, On the first curve of the Fucik spectrum of an elliptic operator, Diff. Int. Equa., volume 7, number 5, pp-1285-1302, (1994).
[6] M. del Pino, M. Elgueta & R. Manasevich, A homotopic deformation along p of a Leray-Shauder degree result and existence for (|u'|p?2u')' + f(t; u) = 0; u(0) = u(T) = 0; p > 1. J. Diff. Eq. , 80, pp 1-13, (1989).
[7] Del Pino, Manasevich & Murua. ...,Nonlinear Analysis 18, pp 79-92, (1992).
[8] P. Tolksdorf, Regularity for more general class of quasilinear elliptic equation, J. Diff. Eq. , 8, pp 773-817, (1983).
[9] J. L.Vasquez, A strong maximum principle for quasilinear equations, Appl. Math. Optim., 12, pp 191-202, (1984).
Published
2017-06-14
How to Cite
[1]
A. Anane and A. Dakkak, “Nonexistence of nontrivial solutions for an asymmetric problem with weights”, Proyecciones (Antofagasta, On line), vol. 19, no. 1, pp. 43-52, Jun. 2017.
Issue
Section
Artículos
-
Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.