On the critical polynomial of functionals related to p-area (1 < p < ∞) and p-Laplace (1 < p ≤ 2) type operators

Silvia Cingolani; Marco Degiovanni; Giuseppina Vannella

doi:10.4171/RLM/691

On the critical polynomial of functionals related to p-area (1 < p < ∞) and p-Laplace (1 < p ≤ 2) type operators

Silvia Cingolani, Marco Degiovanni, Giuseppina Vannella

Facoltà di Scienze Matematiche, Fisiche e Naturali

Polytechnic University of Bari

Risultato della ricerca: Contributo in rivista › Articolo › peer review

5 Citazioni (Scopus)

Abstract

We consider a class of quasilinear elliptic equations whose principal part includes\r\nthe p-area (for 1 < p < l) and the p-Laplace (for 1 < pa2) operator. For the critical points of\r\nthe associated functional, we provide estimates of the corresponding critical polynomial.

Lingua originale	Inglese
pagine (da-a)	49-56
Numero di pagine	8
Rivista	ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI
Volume	26
Numero di pubblicazione	1
DOI	https://doi.org/10.4171/RLM/691
Stato di pubblicazione	Pubblicato - 2015

All Science Journal Classification (ASJC) codes

Matematica generale

Keywords

Morse index
p-Laplace operator
p-area operator

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10.4171/RLM/691

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On the critical polynomial of functionals related to p-area (1 < p < ∞) and p-Laplace (1 < p ≤ 2) type operators. / Cingolani, Silvia; Degiovanni, Marco; Vannella, Giuseppina.
In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI, Vol. 26, N. 1, 2015, pag. 49-56.

Risultato della ricerca: Contributo in rivista › Articolo › peer review

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AU - Cingolani, Silvia

AU - Degiovanni, Marco

AU - Vannella, Giuseppina

PY - 2015

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AB - We consider a class of quasilinear elliptic equations whose principal part includes\r\nthe p-area (for 1 < p < l) and the p-Laplace (for 1 < pa2) operator. For the critical points of\r\nthe associated functional, we provide estimates of the corresponding critical polynomial.

KW - Morse index

KW - p-Laplace operator

KW - p-area operator

KW - Morse index

KW - p-Laplace operator

KW - p-area operator

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DO - 10.4171/RLM/691

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On the critical polynomial of functionals related to p-area (1 < p < ∞) and p-Laplace (1 < p ≤ 2) type operators

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Accesso al documento

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