Variational methods for functionals with lack of strict convexity

Marco Degiovanni

Variational methods for functionals with lack of strict convexity

Marco Degiovanni

Faculty of Mathematical, Physical and Natural Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We consider a class of functionals of the calculus of variations which are not strictly convex in the gradient of the function. When critical point theory is applied, this causes some troubles with the Palais-Smale condition, which we overcome using a suitable nonsmooth approach.

Original language	English
Title of host publication	Nonlinear equations: methods, models and applications
Publisher	Birkhaeuser
Pages	127-139
Number of pages	13
ISBN (Print)	3-7643-0398-0
Publication status	Published - 2003

Keywords

Nonlinear elliptic equations
Variational methods

Cite this

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title = "Variational methods for functionals with lack of strict convexity",

abstract = "We consider a class of functionals of the calculus of variations which are not strictly convex in the gradient of the function. When critical point theory is applied, this causes some troubles with the Palais-Smale condition, which we overcome using a suitable nonsmooth approach.",

keywords = "Nonlinear elliptic equations, Variational methods, Nonlinear elliptic equations, Variational methods",

author = "Marco Degiovanni",

year = "2003",

language = "English",

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pages = "127--139",

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T1 - Variational methods for functionals with lack of strict convexity

AU - Degiovanni, Marco

PY - 2003

Y1 - 2003

N2 - We consider a class of functionals of the calculus of variations which are not strictly convex in the gradient of the function. When critical point theory is applied, this causes some troubles with the Palais-Smale condition, which we overcome using a suitable nonsmooth approach.

AB - We consider a class of functionals of the calculus of variations which are not strictly convex in the gradient of the function. When critical point theory is applied, this causes some troubles with the Palais-Smale condition, which we overcome using a suitable nonsmooth approach.

KW - Nonlinear elliptic equations

KW - Variational methods

KW - Nonlinear elliptic equations

KW - Variational methods

UR - https://publicatt.unicatt.it/handle/10807/312910

M3 - Conference contribution

SN - 3-7643-0398-0

SP - 127

EP - 139

BT - Nonlinear equations: methods, models and applications

PB - Birkhaeuser

ER -

Variational methods for functionals with lack of strict convexity

Abstract

Keywords

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