Multiple Solutions for Doubly Resonant Elliptic Problems Using Critical Groups
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Ravi P. Agarwal
agarwal@fit.edu
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Michael E. Filippakis
mfilip@math.ntua.gr
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Donal O‘Regan
donal.oregan@nuigalway.ie
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Nikolaos S. Papageorgiou
npapg@math.ntua.gr
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Abstract
We consider a semilinear elliptic equation, with a right hand side nonlinearity which may grow linearly. Throughout we assume a double resonance at infinity in the spectral interval [λ1, λ2]. In this paper, we can also have resonance at zero or even double resonance in the order interval [λm, λm+1], m ≥ 2. Using Morse theory and in particular critical groups, we prove two multiplicity theorems.
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Published
2008-10-01
How to Cite
[1]
R. P. Agarwal, M. E. Filippakis, D. O‘Regan, and N. S. Papageorgiou, “Multiple Solutions for Doubly Resonant Elliptic Problems Using Critical Groups”, CUBO, vol. 10, no. 3, pp. 21–41, Oct. 2008.
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