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Multiple bifurcation branches for variational inequalities
Authors:A. Groli
Affiliation:a Dipartimento di Matematica, Università di Brescia, Via Valotti 9, 25133 Brescia, Italy
b Dipartmento di Matematica Applicata Ulisse Dini, Università di Pisa, via Bonanno Pisano 25/B, I56126 Pisa, Italy
Abstract:We prove the existence of two bifurcation branches for a variational inequality in a case when the corresponding asymptotic problem is nonsymmetric. We use a nonsmooth variational framework and a blow-up argument which allows to find multiple critical points possibly at the same level. An application to plates with obstacle is presented.
Keywords:58E07   35J85   35B32
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