Nonresonance below the second eigenvalue for a nonlinear elliptic problem

• Moussaoui, M. ^[1]
  1. [1] University Mohamed I.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 22, Nº. 1, 2003, págs. 1-13
• Idioma: inglés
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• Resumen

  • We study the solvability of the problem −∆pu = g(x, u) + h in Ω; u = 0 on ∂Ω, when the nonlinearity g is assumed to lie asymptotically between 0 and the second eigenvalue λ2 of −∆p. We show that this problem is nonresonant.