We present critical groups estimates for a functional f defined on the Banach space $W_0^{1,p}(Ω)$, where Ω is a bounded domain in R^N, p>2, 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.

Some results on critical groups for a class of functionals defined on Sobolev Banach spaces / Cingolani, Silvia; Vannella, Giuseppina. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1120-6330. - STAMPA. - 12:4(2001), pp. 199-203.

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

Cingolani Silvia;Vannella Giuseppina
2001-01-01

Abstract

We present critical groups estimates for a functional f defined on the Banach space $W_0^{1,p}(Ω)$, where Ω is a bounded domain in R^N, p>2, 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.
2001
Some results on critical groups for a class of functionals defined on Sobolev Banach spaces / Cingolani, Silvia; Vannella, Giuseppina. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1120-6330. - STAMPA. - 12:4(2001), pp. 199-203.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/5875
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