ALL libraries (COBIB.SI union bibliographic/catalogue database)
-
Existence and multiplicity of solutions for critical Kirchhoff-Choquard equations involving the fractional ▫$p$▫-Laplacian on the Heisenberg group [Elektronski vir]Bai, Shujie ; Song, Yueqiang ; Repovš, Dušan, 1954-In this paper, we study existence and multiplicity of solutions for the following Kirchhoff-Choquard type equation involving the fractional ▫$p$▫-Laplacian on the Heisenberg group: ... ▫$M(\|u\|_\mu^{p})(\mu(-\Delta)^{s}_{p}u+V(\xi)|u|^{p-2}u)= f(\xi,u)+\int_{\mathbb{H}^N}\frac{|u(\eta)|^{Q_\lambda^{\ast}}}{|\eta^{-1}\xi|^\lambda}d\eta|u|^{Q_\lambda^{\ast}-2}u$▫ in ▫$\mathbb{H}^N$▫, where ▫$(-\Delta)^{s}_{p}$▫ is the fractional ▫$p$▫-Laplacian on the Heisenberg group ▫$\mathbb{H}^N$▫, ▫$M$▫ is the Kirchhoff function, ▫$V(\xi)$▫ is the potential function, ▫$0 < s < 1$▫, ▫$1 < p < \frac{N}{s}$▫, ▫$\mu > 0$▫, ▫$f(\xi,u)$▫ is the nonlinear function, ▫$0 < \lambda < Q$▫, ▫$Q=2N+2$▫, and ▫$Q_\lambda^{\ast}=\frac{2Q-\lambda}{Q-2}$▫ is the Sobolev critical exponent. Using the Krasnoselskii genus theorem, the existence of infinitely many solutions is obtained if ▫$\mu$▫ is sufficiently large. In addition, using the fractional version of the concentrated compactness principle, we prove that problem has ▫$m$▫ pairs of solutions if ▫$\mu$▫ is sufficiently small. As far as we know, the results of our study are new even in the Euclidean case.Source: Journal of nonlinear and variational analysis [Elektronski vir]. - ISSN 2560-6778 (Vol. 8, iss. 1, 2024, str. 143-166)Type of material - e-article ; adult, seriousPublish date - 2024Language - englishCOBISS.SI-ID - 181483523
![loading ... loading ...](themes/default/img/ajax-loading.gif)
Author | Bai, Shujie ; Song, Yueqiang ; Repovš, Dušan, 1954- |
Title | Existence and multiplicity of solutions for critical Kirchhoff-Choquard equations involving the fractional ▫$p$▫-Laplacian on the Heisenberg group [Elektronski vir] |
Publication date | 2024-02-01 |
COBISS.SI-ID | 181483523 |
Publication version in repository | Postprint, author's finally reviewed version, accepted for publication |
Publication licence | Unidentified |
Embargo | Immediate publication for public |
Project(s) from which the publication was funded
Title | Acronym | Project ID | Funder |
---|---|---|---|
Topologija in njena uporaba | P1-0292-2022 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
|
Računalniška knjižnica za zavozlane strukture in aplikacije | J1-4031-2022 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
|
Izbrani problemi iz uporabne in računske topologije | J1-4001-2022 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
|
Biološka koda vozlov - identifikacija vzorcev vozlanja v biomolekulah z uporabo umetne inteligence | N1-0278-2023 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
|
Algebrajski odtisi geometrijskih značilnosti v homologiji | N1-0114-2019 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
|
Forsing, fuzija in kombinatorika odprtih pokritij | N1-0083-2018 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
Files that belong to the publication
Link |
---|
![]() |
![]() |
Shelf entry
Permalink
- URL:
Impact factor
Access to the JCR database is permitted only to users from Slovenia. Your current IP address is not on the list of IP addresses with access permission, and authentication with the relevant AAI accout is required.
Year | Impact factor | Edition | Category | Classification | ||||
---|---|---|---|---|---|---|---|---|
JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
Select the library membership card:
If the library membership card is not in the list,
add a new one.
DRS, in which the journal is indexed
Database name | Field | Year |
---|
Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
---|---|
Bai, Shujie | ![]() |
Song, Yueqiang | ![]() |
Repovš, Dušan, 1954- | 07083 |
Source: Personal bibliographies
and: SICRIS
Select pickup location:
Material pickup by post
Delivery address:
Address is missing from the member's data.
The address retrieval service is currently unavailable, please try again.
By clicking the "OK" button, you will confirm the pickup location selected above and complete the reservation process.
By clicking the "OK" button, you will confirm the above pickup location and delivery address, and complete the reservation process.
By clicking the "OK" button, you will confirm the address selected above and complete the reservation process.
Notification
Automatic login and reservation service currently not available. You can reserve the material on the Biblos portal or try again here later.
Subject headings in COBISS General List of Subject Headings
Select pickup location
The material from the parent unit is free. If the material is delivered to the pickup location from another unit, the library may charge you for this service.
Pickup location | Material status | Reservation |
---|
Reservation in progress
Please wait a moment.
Reservation was successful.
Reservation failed.
Reservation...
Membership card:
Pickup location: