A nonresonance between non-consecutive eigenvalues of semilinear elliptic equations: Variational methods

• Moussaoui, M. ^[1]
  1. [1] University Mohamed I.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 20, Nº. 1, 2001, págs. 53-63
• Idioma: inglés
• DOI: 10.4067/S0716-09172001000100004
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• Resumen

  • We study the solvability of the problem −∆u = f(x, u) + h in Ω ; u = 0 on ∂Ωwhen the nonlinearity f is assumed to lie asymptotically between two non- consecutive eigenvalues of −∆. We show that this problem is nonresonant.

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