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

Polytechnic University of Bari

Risultato della ricerca: Contributo in rivista › Articolo in rivista › 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	English
pagine (da-a)	75-87
Numero di pagine	13
Rivista	Journal of Elliptic and Parabolic Equations
Volume	1
DOI	https://doi.org/10.1007/BF03377369
Stato di pubblicazione	Pubblicato - 2015

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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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",

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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 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

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

UR - http://hdl.handle.net/10807/69588

UR - http://www.orthogonal-editions.com/jepe.html

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JO - Journal of Elliptic and Parabolic Equations

JF - Journal of Elliptic and Parabolic Equations

ER -

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

Abstract

Keywords

Accesso al documento

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