Critical group estimates for nonregular critical points of functionals associated with quasilinear elliptic equations

Silvia Cingolani; Marco Degiovanni; Giuseppina Vannella

doi:10.1007/BF03377369

Critical group estimates for nonregular critical points of functionals associated with quasilinear elliptic equations

Silvia Cingolani^*, Marco Degiovanni, Giuseppina Vannella

^*Autore corrispondente per questo lavoro

Facoltà di Scienze Matematiche, Fisiche e Naturali

Polytechnic University of Bari

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

1 Citazioni (Scopus)

Abstract

We consider a class of quasilinear elliptic equations whose principal part includes the p-area and the p-Laplace operators, when p lies in a suitable left neighborhood of 2. For the critical points of the associated functional, we provide estimates of the corresponding critical groups, under assumptions that do not guarantee any further regularity of the critical point

Lingua originale	Inglese
pagine (da-a)	75-87
Numero di pagine	13
Rivista	Journal of Elliptic and Parabolic Equations
Volume	1
Numero di pubblicazione	N/A
DOI	https://doi.org/10.1007/BF03377369
Stato di pubblicazione	Pubblicato - 2015

All Science Journal Classification (ASJC) codes

Analisi
Matematica Applicata
Analisi Numerica

Keywords

Morse index
critical groups
functionals with lack of smoothness
p-Laplace operator
p-area operator

Accesso al documento

10.1007/BF03377369

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author = "Silvia Cingolani and Marco Degiovanni and Giuseppina Vannella",

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AU - Cingolani, Silvia

AU - Degiovanni, Marco

AU - Vannella, Giuseppina

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AB - We consider a class of quasilinear elliptic equations whose principal part includes the p-area and the p-Laplace operators, when p lies in a suitable left neighborhood of 2. For the critical points of the associated functional, we provide estimates of the corresponding critical groups, under assumptions that do not guarantee any further regularity of the critical point

KW - Morse index

KW - critical groups

KW - functionals with lack of smoothness

KW - p-Laplace operator

KW - p-area operator

KW - Morse index

KW - critical groups

KW - functionals with lack of smoothness

KW - p-Laplace operator

KW - p-area operator

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JO - Journal of Elliptic and Parabolic Equations

JF - Journal of Elliptic and Parabolic Equations

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Critical group estimates for nonregular critical points of functionals associated with quasilinear elliptic equations

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Accesso al documento

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