The uniqueness of some singular Kirchhoff equations with non-homogeneous material

Baoqiang Yan; Donal O’Regan; Ravi P. Agarwal

doi:10.1007/s13226-023-00516-w

The uniqueness of some singular Kirchhoff equations with non-homogeneous material

Baoqiang Yan
, Donal O’Regan
, Ravi P. Agarwal

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

Abstract

In this paper, on the one hand, we prove a new theorem of sub-supersolution method for a generalized Kirchhoff equations with non-homogeneous material; on the other hand, based on the method of lower and upper solution, we consider the existence and uniqueness of the positive solution of some singular Kirchhoff equations.

Original language	English
Journal	Indian Journal of Pure and Applied Mathematics
DOIs	https://doi.org/10.1007/s13226-023-00516-w
Publication status	Accepted/In press - 2023

Keywords

Existence
Kirchhoff equations
Method of sub-supersolutions
Positive solutions

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10.1007/s13226-023-00516-w

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title = "The uniqueness of some singular Kirchhoff equations with non-homogeneous material",

abstract = "In this paper, on the one hand, we prove a new theorem of sub-supersolution method for a generalized Kirchhoff equations with non-homogeneous material; on the other hand, based on the method of lower and upper solution, we consider the existence and uniqueness of the positive solution of some singular Kirchhoff equations.",

keywords = "Existence, Kirchhoff equations, Method of sub-supersolutions, Positive solutions",

author = "Baoqiang Yan and Donal O{\textquoteright}Regan and Agarwal, \{Ravi P.\}",

note = "Publisher Copyright: {\textcopyright} 2023, This is a U.S. Government work and not under copyright protection in the US; foreign copyright protection may apply.",

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doi = "10.1007/s13226-023-00516-w",

language = "English",

journal = "Indian Journal of Pure and Applied Mathematics",

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T1 - The uniqueness of some singular Kirchhoff equations with non-homogeneous material

AU - Yan, Baoqiang

AU - O’Regan, Donal

AU - Agarwal, Ravi P.

PY - 2023

Y1 - 2023

N2 - In this paper, on the one hand, we prove a new theorem of sub-supersolution method for a generalized Kirchhoff equations with non-homogeneous material; on the other hand, based on the method of lower and upper solution, we consider the existence and uniqueness of the positive solution of some singular Kirchhoff equations.

AB - In this paper, on the one hand, we prove a new theorem of sub-supersolution method for a generalized Kirchhoff equations with non-homogeneous material; on the other hand, based on the method of lower and upper solution, we consider the existence and uniqueness of the positive solution of some singular Kirchhoff equations.

KW - Existence

KW - Kirchhoff equations

KW - Method of sub-supersolutions

KW - Positive solutions

UR - https://www.scopus.com/pages/publications/85179343423

U2 - 10.1007/s13226-023-00516-w

DO - 10.1007/s13226-023-00516-w

M3 - Article

AN - SCOPUS:85179343423

SN - 0019-5588

JO - Indian Journal of Pure and Applied Mathematics

JF - Indian Journal of Pure and Applied Mathematics

ER -

The uniqueness of some singular Kirchhoff equations with non-homogeneous material

Abstract

Keywords

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