Some results on critical groups for a class of functionals defined on Sobolev Banach spaces
Cingolani, Silvia ; Vannella, Giuseppina
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 12 (2001), p. 199-203 / Harvested from Biblioteca Digitale Italiana di Matematica
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We present critical groups estimates for a functional f defined on the Banach space W01,p⁢Ω, Ω bounded domain in RN, 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.

Presentiamo stime di gruppi critici per un funzionale f definito sullo spazio di Banach W01,p⁢Ω, Ω dominio limitato in RN, 2<p<∞, associato a una equazione ellittica che coinvolge il p-laplaciano. Nonostante la mancanza di una struttura di Hilbert e di proprietà di Fredholm del differenziale secondo di f nei punti critici, valutiamo i gruppi critici di f in ogni punto critico isolato mediante l’indice di Morse.

Publié le : 2001-12-01
@article{RLIN_2001_9_12_4_199_0,
     author = {Silvia Cingolani and Giuseppina Vannella},
     title = {Some results on critical groups for a class of functionals defined on Sobolev Banach spaces},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {12},
     year = {2001},
     pages = {199-203},
     zbl = {1072.58005},
     mrnumber = {1898461},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_2001_9_12_4_199_0}
}

Cingolani, Silvia; Vannella, Giuseppina. Some results on critical groups for a class of functionals defined on Sobolev Banach spaces. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 12 (2001) pp. 199-203. http://gdmltest.u-ga.fr/item/RLIN_2001_9_12_4_199_0/

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