In this paper we present some existence results for a class of semilinear elliptic variational inequalities, depending on a real parameter lambda, 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 lambda < lambda (1) and lambda >= lambda (1), where lambda(1) is the first eigenvalue of the uniformly elliptic operator A involved in the variational inequality.
Existence results for semilinear elliptic variational inequalities with changing sign nonlinearities
SERVADEI, RAFFAELLA
2006
Abstract
In this paper we present some existence results for a class of semilinear elliptic variational inequalities, depending on a real parameter lambda, 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 lambda < lambda (1) and lambda >= lambda (1), where lambda(1) is the first eigenvalue of the uniformly elliptic operator A involved in the variational inequality.File in questo prodotto:
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