Publication detail

Existence and concentration properties for the 1-biharmonic equation with lack of compactness

HUO, T. LI, L. RADULESCU, V.

Original Title

Existence and concentration properties for the 1-biharmonic equation with lack of compactness

Type

journal article in Web of Science

Language

English

Original Abstract

n this work, we are interested in the following 1-biharmonic problem with potentials � & epsilon;2 & UDelta;2 1u - & epsilon;& UDelta;1u + V(x) u |u| = K(x)f (u) in RN, u & ISIN; BL(RN), where N & GE; 3, & epsilon; > 0 is a positive parameter and V, K, f satisfy some proper conditions. Under the Nehari manifold technique, the Concentration-Compactness Principle and some analysis techniques, we establish the existence and concentration properties of ground state solutions to the 1-biharmonic equation.

Keywords

1-biharmonic operator;BL spaceGround state solutions;Concentration-compactness principle

Authors

HUO, T.; LI, L.; RADULESCU, V.

Released

11. 10. 2023

ISBN

0007-4497

Periodical

BULLETIN DES SCIENCES MATHEMATIQUES

Year of study

186

Number

2023

State

French Republic

Pages from

1

Pages to

37

Pages count

37

URL

https://www-webofscience-com.ezproxy.lib.vutbr.cz/wos/woscc/full-record/WOS:001020988300001

BibTex

@article{BUT185049,
  author="Tao {Huo} and Lin {Li} and Vicentiu {Radulescu}",
  title="Existence and concentration properties for the 1-biharmonic equation with lack of compactness",
  journal="BULLETIN DES SCIENCES MATHEMATIQUES",
  year="2023",
  volume="186",
  number="2023",
  pages="1--37",
  doi="10.1016/j.bulsci.2023.103275",
  issn="0007-4497",
  url="https://www-webofscience-com.ezproxy.lib.vutbr.cz/wos/woscc/full-record/WOS:001020988300001"
}