Critical groups of critical points produced by local linking with applications.
Perera, Kanishka (1998)
Abstract and Applied Analysis
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Perera, Kanishka (1998)
Abstract and Applied Analysis
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Yahya Ould Hamidoune, Oriol Serra, Gilles Zémor (2006)
Acta Arithmetica
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Salvatore A. Marano, Dumitru Motreanu (2004)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, two deformation lemmas concerning a family of indefinite, non necessarily continuously differentiable functionals are proved. A critical point theorem, which extends the classical result of Benci-Rabinowitz [14, Theorem 5.29] to the above-mentioned setting, is then deduced.
Nikolaos Kourogenis, Nikolaos Papageorgiou (1998)
Colloquium Mathematicae
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In this paper we study a quasilinear resonant problem with discontinuous right hand side. To develop an existence theory we pass to a multivalued version of the problem, by filling in the gaps at the discontinuity points. We prove the existence of a nontrivial solution using a variational approach based on the critical point theory of nonsmooth locally Lipschitz functionals.
Li, Shujie, Su, Jiabao (1996)
Abstract and Applied Analysis
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Yahya Ould Hamidoune (2011)
Acta Arithmetica
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Cicortaş, Graţiela (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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Xia Zhang, Yongqiang Fu (2009)
Annales Polonici Mathematici
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We study a class of hemivariational inequalities with p(x)-Laplacian. Applying nonsmooth critical point theory for locally Lipschitz functions, we obtain the existence of solutions on interior and exterior domains.
Vannella, Giuseppina
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Stephan Bütikofer, Diethard Klatte, Bernd Kummer (2010)
Kybernetika
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Studying a critical value function in parametric nonlinear programming, we recall conditions guaranteeing that is a function and derive second order Taylor expansion formulas including second-order terms in the form of certain generalized derivatives of . Several specializations and applications are discussed. These results are understood as supplements to the well–developed theory of first- and second-order directional differentiability of the optimal value function in parametric...