Nonexistence of nontrivial solutions for an asymmetric problem with weights

Authors

  • Aomar Anane Université Moulay Ismaïl.
  • Ahmed Dakkak Université Moulay Ismaïl.

DOI:

https://doi.org/10.22199/S0716-09172000000100004

Keywords:

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.

Author Biographies

Aomar Anane, Université Moulay Ismaïl.

Faculté des Sciences et Techniques,
Département de Mathématiques.


Ahmed Dakkak, Université Moulay Ismaïl.

Faculté des Sciences et Techniques,
Département de Mathématiques.

References

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[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.).

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[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