Abstract
The solvability of the Dirichlet problem for a semilinear elliptic equation is studied in some situations where the classical resonance conditions of Landesman and Lazer may fail.
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Omari, P., Zanolin, F. Resonance at two consecutive eigenvalues for semilinear elliptic equations. Annali di Matematica pura ed applicata 163, 181–198 (1993). https://doi.org/10.1007/BF01759021
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DOI: https://doi.org/10.1007/BF01759021