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Resonance at two consecutive eigenvalues for semilinear elliptic equations. (English) Zbl 0791.35042

Summary: 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.

MSC:

35J65 Nonlinear boundary value problems for linear elliptic equations
35J40 Boundary value problems for higher-order elliptic equations
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