Resonance problems with respect to the Fucík spectrum

Schechter, Martin

doi:10.1090/S0002-9947-00-02655-6

Resonance problems with respect to the Fucík spectrum
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Trans. Amer. Math. Soc. 352 (2000), 4195-4205 Request permission

Abstract:

We study semilinear boundary value problems which have asymptotic resonance with respect to the linear part. The difficulties for Fučík resonance problems are compounded by the fact that there is no eigenspace with which to work. The present paper uses new linking theorems which can deal with the sets required to obtain critical points.

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