ALL libraries (COBIB.SI union bibliographic/catalogue database)
13.
Multiplicity and concentration of solutions for Kirchhoff equations with magnetic field
Ji, Chao ; Rǎdulescu, Vicenţiu, 1958-
In this paper, we study the following nonlinear magnetic Kirchhoff equation: ▫$$ \begin{cases} -(a\epsilon^2 + b\epsilon[u]_{A/\epsilon}^2)\Delta_{A/\epsilon}u + V(x)u = f(|u|^2)u & \text{in} ...\;\mathbb{R}^3, \\ u \in H^1(\mathbb{R}^3,\mathbb{C}), \end{cases}$$▫ where ▫$\epsilon >0$▫, ▫$a,b>0$▫ are constants, ▫$V: \mathbb{R}^{3} \rightarrow \mathbb{R}$▫ and ▫$A: \mathbb{R}^3 \rightarrow \mathbb{R}^3$▫ are continuous potentials, and ▫$\Delta_A u$▫ is the magnetic Laplace operator. Under a local assumption on the potential ▫$V$▫, by combining variational methods, a penalization technique and the Ljusternik-Schnirelmann theory, we prove multiplicity properties of solutions and concentration phenomena for ▫$\epsilon$▫ small. In this problem, the function ▫$f$▫ is only continuous, which allows to consider larger classes of nonlinearities in the reaction.
It was not necessary to add the material to the shelf.
Bibliographic material was successfully added on shelf.
Adding bibliographical material on shelf was not successful.
Material is already on the shelf.
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:
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
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.
