ALL libraries (COBIB.SI union bibliographic/catalogue database)
-
Fractional magnetic Schrödinger-Kirchhoff problems with convolution and critical nonlinearitiesLiang, Sihua ; Repovš, Dušan, 1954- ; Zhang, BinlinIn this paper, we are concerned with the existence and multiplicity of solutions for the fractional Choquard-type Schrödinger-Kirchhoff equations with electromagnetic fields and critical ... nonlinearity: ▫$$\begin{cases} \varepsilon^{2s} N([u]^2_{s,A}) (-\Delta)^s_A u + V(x)u = (|x|^{-\alpha} \ast F(|u|^2)) f(|u|^2)u + |u|^{2^\ast_s-2}u, & x\in \mathbb{R}^N, \\ U(x) \to 0, & \text{as} \quad |x| \to \infty, \end{cases}$$▫ where ▫$(-\Delta)^s_A$▫ is the fractional magnetic operator with ▫$0<s<1$▫, ▫$2^\ast_s = 2N/(N-2s)$▫, ▫$\alpha < \min\{N, 4s\}$▫, ▫$M \colon \mathbb{R}^+_0 \to \mathbb{R}^+_0$▫ is a continuous function, ▫$A\colon \mathbb{R}^N \to \mathbb{R}^N$▫ is the magnetic potential, ▫$F(|u|) =\int^{|u|}_0f(t)dt$▫, and ▫$\varepsilon > 0$▫ is a positive parameter. The electric potential ▫$V \in C(\mathbb{R}^N, \mathbb{R}^+_0)$▫ satisfies ▫$V(x)=0$▫ in some region of ▫$\mathbb{R}^N$▫, which means that this is the critical frequency case. We first prove the ▫$(PS)_c$▫ condition, by using the fractional version of the concentration compactness principle. Then, applying also the mountain pass theorem and the genus theory, we obtain the existence and multiplicity of semiclassical states for the above problem. The main feature of our problems is that the Kirchhoff term ▫$M$▫ can vanish at zero.Source: Mathematical methods in the applied sciences. - ISSN 0170-4214 (Vol. 43, iss. 5, March 2020, str. 2473-2490)Type of material - article, component part ; adult, seriousPublish date - 2020Language - englishCOBISS.SI-ID - 18870617
![loading ... loading ...](themes/default/img/ajax-loading.gif)
source: Mathematical methods in the applied sciences. - ISSN 0170-4214 (Vol. 43, iss. 5, March 2020, str. 2473-2490)
![loading ... loading ...](themes/default/img/ajax-loading.gif)
![loading ... loading ...](themes/default/img/ajax-loading.gif)
![loading ... loading ...](themes/default/img/ajax-loading.gif)
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 |
---|---|
Liang, Sihua | ![]() |
Repovš, Dušan, 1954- | 07083 |
Zhang, Binlin | ![]() |
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: