Infinitely many solutions for polyharmonic elliptic problems with broken symmetries

Sergio Lancelotti; Alessandro Musesti; Marco Squassina

doi:10.1002/mana.200310043

Infinitely many solutions for polyharmonic elliptic problems with broken symmetries

Sergio Lancelotti, Alessandro Musesti, Marco Squassina

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

7 Citazioni (Scopus)

Abstract

By means of a perturbation argument devised by P. Bolle, we prove the existence of infinitely many solutions for perturbed symmetric polyharmonic problems with nonhomogeneous Dirichlet boundary conditions. An extension to the higher order case of the estimate from below for the critical values due to K. Tanaka is obtained.

Lingua originale	English
pagine (da-a)	35-44
Numero di pagine	10
Rivista	Mathematische Nachrichten
DOI	https://doi.org/10.1002/mana.200310043
Stato di pubblicazione	Pubblicato - 2003

Keywords

critical point theory
polyharmonic

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10.1002/mana.200310043

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title = "Infinitely many solutions for polyharmonic elliptic problems with broken symmetries",

abstract = "By means of a perturbation argument devised by P. Bolle, we prove the existence of infinitely many solutions for perturbed symmetric polyharmonic problems with nonhomogeneous Dirichlet boundary conditions. An extension to the higher order case of the estimate from below for the critical values due to K. Tanaka is obtained.",

keywords = "critical point theory, polyharmonic, critical point theory, polyharmonic",

author = "Sergio Lancelotti and Alessandro Musesti and Marco Squassina",

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language = "English",

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T1 - Infinitely many solutions for polyharmonic elliptic problems with broken symmetries

AU - Lancelotti, Sergio

AU - Musesti, Alessandro

AU - Squassina, Marco

PY - 2003

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N2 - By means of a perturbation argument devised by P. Bolle, we prove the existence of infinitely many solutions for perturbed symmetric polyharmonic problems with nonhomogeneous Dirichlet boundary conditions. An extension to the higher order case of the estimate from below for the critical values due to K. Tanaka is obtained.

AB - By means of a perturbation argument devised by P. Bolle, we prove the existence of infinitely many solutions for perturbed symmetric polyharmonic problems with nonhomogeneous Dirichlet boundary conditions. An extension to the higher order case of the estimate from below for the critical values due to K. Tanaka is obtained.

KW - critical point theory

KW - polyharmonic

KW - critical point theory

KW - polyharmonic

UR - http://hdl.handle.net/10807/86880

U2 - 10.1002/mana.200310043

DO - 10.1002/mana.200310043

M3 - Article

SN - 0025-584X

SP - 35

EP - 44

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

ER -

Infinitely many solutions for polyharmonic elliptic problems with broken symmetries

Abstract

Keywords

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