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Zbl 1149.49007
Bonanno, Gabriele; Candito, Pasquale
Non-differentiable functionals and applications to elliptic problems with discontinuous nonlinearities. (English)
[J] J. Differ. Equations 244, No. 12, 3031-3059 (2008). ISSN 0022-0396

Summary: Multiple critical points theorems for non-differentiable functionals are established. Applications both to elliptic variational-hemivariational inequalities and eigenvalue problems with discontinuous nonlinearities are then presented.

MSC 2000:: *49J40 Variational methods including variational inequalities
35J85 Unilateral problems; variational inequalities (elliptic type)
58E05 Abstract critical point theory
49J52 Nonsmooth analysis (other weak concepts of optimality)
35J60 Nonlinear elliptic equations
35R05 PDE with discontinuous coefficients or data

Keywords: critical points; variational-hemivariational inequalities; Dirichlet problem with discontinuous nonlinearities; multiple solutions

Cited in: Zbl 1261.35069 Zbl 1203.34019 Zbl 1176.34020

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