Critical points for nondifferentiable functions in presence of splitting |
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| Authors: | R. Livrea D. Motreanu |
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| Affiliation: | a Dipartimento di Patrimonio Architettonico e Urbanistico, Università degli Studi Mediterranea di Reggio Calabria, Salita Melissari, 89100 Reggio Calabria, Italy
b Département de Mathématiques, Université de Perpignan, Avenue de Villeneuve 52, 66860 Perpignan cedex, France |
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| Abstract: | A classical critical point theorem in presence of splitting established by Brézis-Nirenberg is extended to functionals which are the sum of a locally Lipschitz continuous term and of a convex, proper, lower semicontinuous function. The obtained result is then exploited to prove a multiplicity theorem for a family of elliptic variational-hemivariational eigenvalue problems. |
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| Keywords: | 58E05 49J40 35J85 |
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