Displaying similar documents to “A min-max theorem for multiple integrals of the Calculus of Variations and applications”

Some results on critical groups for a class of functionals defined on Sobolev Banach spaces

Silvia Cingolani, Giuseppina Vannella (2001)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We present critical groups estimates for a functional f defined on the Banach space W 0 1 , p ⁢ Ω , Ω bounded domain in R N , 2 < p < ∞ , associated to a quasilinear elliptic equation involving p -laplacian. In spite of the lack of an Hilbert structure and of Fredholm property of the second order differential of f in each critical point, we compute the critical groups of f in each isolated critical point via Morse index.

Perturbations of Critical Values in Nonsmooth Critical Point Theory

Degiovanni, M., Lancelotti, S. (1996)

Serdica Mathematical Journal

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* Supported by Ministero dell’Università e della Ricerca Scientifica e Tecnologica (40% – 1993). ** Supported by Ministero dell’Università e della Ricerca Scientifica e Tecnologica (40% – 1993). The perturbation of critical values for continuous functionals is studied. An application to eigenvalue problems for variational inequalities is provided.