On the existence of solutions to a fourth order quasilinear resonant problem

Shibo Liu; Marco Squassina

doi:10.1155/S1085337502000805

On the existence of solutions to a fourth order quasilinear resonant problem

Shibo Liu
, Marco Squassina

Chinese Academy of Sciences

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

19 Citazioni (Scopus)

Abstract

By means of Morse theory we prove the existence of a nontrivial solution to a superlinear p-harmonic elliptic problem with Navier boundary conditions having a linking structure around the origin. Moreover, in case of both resonance near zero and nonresonance at +∞ the existence of two nontrivial solutions is shown.

Lingua originale	Inglese
pagine (da-a)	125-133
Numero di pagine	9
Rivista	Abstract and Applied Analysis
Volume	7
DOI	https://doi.org/10.1155/S1085337502000805
Stato di pubblicazione	Pubblicato - 2002

Keywords

fourth order problems

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10.1155/S1085337502000805

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title = "On the existence of solutions to a fourth order quasilinear resonant problem",

abstract = "By means of Morse theory we prove the existence of a nontrivial solution to a superlinear p-harmonic elliptic problem with Navier boundary conditions having a linking structure around the origin. Moreover, in case of both resonance near zero and nonresonance at +∞ the existence of two nontrivial solutions is shown.",

keywords = "fourth order problems, fourth order problems",

author = "Shibo Liu and Marco Squassina",

year = "2002",

doi = "10.1155/S1085337502000805",

language = "English",

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pages = "125--133",

journal = "Abstract and Applied Analysis",

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T1 - On the existence of solutions to a fourth order quasilinear resonant problem

AU - Liu, Shibo

AU - Squassina, Marco

PY - 2002

Y1 - 2002

N2 - By means of Morse theory we prove the existence of a nontrivial solution to a superlinear p-harmonic elliptic problem with Navier boundary conditions having a linking structure around the origin. Moreover, in case of both resonance near zero and nonresonance at +∞ the existence of two nontrivial solutions is shown.

AB - By means of Morse theory we prove the existence of a nontrivial solution to a superlinear p-harmonic elliptic problem with Navier boundary conditions having a linking structure around the origin. Moreover, in case of both resonance near zero and nonresonance at +∞ the existence of two nontrivial solutions is shown.

KW - fourth order problems

UR - http://hdl.handle.net/10807/92802

U2 - 10.1155/S1085337502000805

DO - 10.1155/S1085337502000805

M3 - Article

SN - 1085-3375

VL - 7

SP - 125

EP - 133

JO - Abstract and Applied Analysis

JF - Abstract and Applied Analysis

ER -

On the existence of solutions to a fourth order quasilinear resonant problem

Abstract

Keywords

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