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

Research output: Contribution to journal › Article › peer-review

19 Citations (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.

Original language	English
Pages (from-to)	125-133
Number of pages	9
Journal	Abstract and Applied Analysis
Volume	7
DOIs	https://doi.org/10.1155/S1085337502000805
Publication status	Published - 2002

Keywords

fourth order problems

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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.",

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author = "Shibo Liu and Marco Squassina",

year = "2002",

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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

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Keywords

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