Nonresonance below the second eigenvalue for a nonlinear elliptic problem


  • M. Moussaoui University Mohamed I.
  • M. Moussaoui University Mohamed I.



Eigenvalue, Nonresonance, p-laplacian, Variational approach.


We study the solvability of the problem ??pu = g(x, u) + h in ?; u = 0 on ??, when the nonlinearity g is assumed to lie asymptotically between 0 and the second eigenvalue ?2 of ??p. We show that this problem is nonresonant.

Author Biographies

M. Moussaoui, University Mohamed I.

Department of Mathematics, Faculty of Sciences.

M. Moussaoui, University Mohamed I.

Department of Mathematics, Faculty of Sciences.


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How to Cite

M. Moussaoui and M. Moussaoui, “Nonresonance below the second eigenvalue for a nonlinear elliptic problem”, Proyecciones (Antofagasta, On line), vol. 22, no. 1, pp. 1-13, Apr. 2017.