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Alcune applicazioni della Teoria di Morse a problemi di tipo ellittico

Giuseppina Vannella — 1998

Bollettino dell'Unione Matematica Italiana

Critical groups computations on a class of Sobolev Banach spaces via Morse index

Silvia Cingolani; Giuseppina Vannella — 2003

Annales de l'I.H.P. Analyse non linéaire

Multiple positive solutions for a critical quasilinear equation via Morse theory

Silvia Cingolani; Giuseppina Vannella — 2009

Annales de l'I.H.P. Analyse non linéaire

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

We present critical groups estimates for a functional $f$ defined on the Banach space $W_{0}^{1, p} (Ω)$ , $Ω$ bounded domain in $R^{N}$ , $2 < p < \infty$ , 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.

Multiple positive solutions for a p-Laplace critical problem (p >1), via Morse theory

Vannella, Giuseppina — 2017

Proceedings of Equadiff 14

Estimates for critical groups of solutions to quasilinear elliptic systems.

Carmona, José; Cingolani, Silvia; Vannella, Giuseppina — 2003

Electronic Journal of Differential Equations (EJDE) [electronic only]

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