Nonexistence results and integral estimates for some higher order nonlinear elliptic problems

Asadollah Aghajani; Juha Kinnunen; Vicenţiu D. Rădulescu

doi:10.1016/j.jde.2024.12.048

Nonexistence results and integral estimates for some higher order nonlinear elliptic problems

Asadollah Aghajani, Juha Kinnunen, Vicenţiu D. Rădulescu^*

^*Tämän työn vastaava kirjoittaja

Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

Abstrakti

In this work we present a generalization of the Hardy inequality and apply it to study the existence and behaviour of positive solutions of higher order elliptic problems involving the polyharmonic operator in exterior domains.

Alkuperäiskieli	Englanti
Sivut	183-207
Sivumäärä	25
Julkaisu	Journal of Differential Equations
Vuosikerta	424
DOI - pysyväislinkit	https://doi.org/10.1016/j.jde.2024.12.048
Tila	Julkaistu - 15 huhtik. 2025
OKM-julkaisutyyppi	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

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10.1016/j.jde.2024.12.048

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title = "Nonexistence results and integral estimates for some higher order nonlinear elliptic problems",

abstract = "In this work we present a generalization of the Hardy inequality and apply it to study the existence and behaviour of positive solutions of higher order elliptic problems involving the polyharmonic operator in exterior domains.",

keywords = "Hardy inequalities, Liouville type theorems, Polyharmonic operator, Supersolutions",

author = "Asadollah Aghajani and Juha Kinnunen and R{\u a}dulescu, {Vicen{\c t}iu D.}",

note = "Publisher Copyright: {\textcopyright} 2025 Elsevier Inc.",

year = "2025",

month = apr,

day = "15",

doi = "10.1016/j.jde.2024.12.048",

language = "English",

volume = "424",

pages = "183--207",

journal = "Journal of Differential Equations",

issn = "0022-0396",

publisher = "Elsevier",

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TY - JOUR

T1 - Nonexistence results and integral estimates for some higher order nonlinear elliptic problems

AU - Aghajani, Asadollah

AU - Kinnunen, Juha

AU - Rădulescu, Vicenţiu D.

PY - 2025/4/15

Y1 - 2025/4/15

N2 - In this work we present a generalization of the Hardy inequality and apply it to study the existence and behaviour of positive solutions of higher order elliptic problems involving the polyharmonic operator in exterior domains.

AB - In this work we present a generalization of the Hardy inequality and apply it to study the existence and behaviour of positive solutions of higher order elliptic problems involving the polyharmonic operator in exterior domains.

KW - Hardy inequalities

KW - Liouville type theorems

KW - Polyharmonic operator

KW - Supersolutions

UR - http://www.scopus.com/inward/record.url?scp=85214331892&partnerID=8YFLogxK

U2 - 10.1016/j.jde.2024.12.048

DO - 10.1016/j.jde.2024.12.048

M3 - Article

AN - SCOPUS:85214331892

SN - 0022-0396

VL - 424

SP - 183

EP - 207

JO - Journal of Differential Equations

JF - Journal of Differential Equations

ER -

Nonexistence results and integral estimates for some higher order nonlinear elliptic problems

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