Existence results for semilinear elliptic variational inequalities with changing sign nonlinearities |
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Authors: | Raffaella Servadei |
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Affiliation: | (1) Department of Mathematics, University of Rome ‘Tor Vergata’, via della Ricerca Scientifica, 00133 Roma, Italy |
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Abstract: | In this paper we present some existence results for a class of semilinear elliptic variational inequalities, depending on a real parameter λ, with changing sign nonlinearities. The fundamental tool to prove the existence result is a penalization method combined with the Mountain Pass Theorem and the Linking Theorem, respectively in the case λ < λ 1 and λ ≥ λ 1, where λ1 is the first eigenvalue of the uniformly elliptic operator A involved in the variational inequality. |
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Keywords: | 49J40 35J85 58E05 |
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