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

Faculty of Mathematical, Physical and Natural Sciences

Polytechnic University of Bari

Research output: Contribution to journal › Article › peer-review

5 Citations (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.

Original language	English
Pages (from-to)	49-56
Number of pages	8
Journal	ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI
Volume	26
Issue number	1
DOIs	https://doi.org/10.4171/RLM/691
Publication status	Published - 2015

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Morse index
p-Laplace operator
p-area operator

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10.4171/RLM/691

Cite this

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publisher = "Accademia Nazionale dei Lincei:Via Lungara 10 Uff Diff Pubbl., I 00165 Rome Italy:011 39 06 68027230, EMAIL: [email protected], INTERNET: http://www.lincei.it, Fax: 011 39 06 68027334",

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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, No. 1, 2015, p. 49-56.

Research output: Contribution to journal › Article › peer-review

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T1 - On the critical polynomial of functionals related to p-area (1 < p < ∞) and p-Laplace (1 < p ≤ 2) type operators

AU - Cingolani, Silvia

AU - Degiovanni, Marco

AU - Vannella, Giuseppina

PY - 2015

Y1 - 2015

N2 - 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.

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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JO - ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI

JF - ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI

IS - 1

ER -

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

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