Publication detail

Ground states of weighted 4D biharmonic equations with exponential growth

BARAKET, S. DRIDI, B. JAIDANE, R. RADULESCU, V.

Original Title

Ground states of weighted 4D biharmonic equations with exponential growth

Type

journal article in Web of Science

Language

English

Original Abstract

In this paper, we are concerned with the existence of a ground state solution for a logarithmic weighted biharmonic equation under Dirichlet boundary conditions in the unit ball B$$ B $$ of Double-struck capital R4$$ {\mathrm{\mathbb{R}}} circumflex 4 $$. The reaction term of the equation is assumed to have exponential growth, in view of Adams' type inequalities. It is proved that there is a ground state solution using min-max techniques and the Nehari method. The associated energy functional loses compactness at a certain level. An appropriate asymptotic condition allows us to bypass the non-compactness levels of the functional.

Keywords

Adams inequalitycompactness level;mountain pass method;Nehari manifold;nonlinearity of exponential growth

Authors

BARAKET, S.; DRIDI, B.; JAIDANE, R.; RADULESCU, V.

Released

2. 4. 2024

ISBN

1099-1476

Periodical

Mathematical Methods in the Applied Sciences

Year of study

47

Number

6

State

United Kingdom of Great Britain and Northern Ireland

Pages from

5007

Pages to

5030

Pages count

24

URL

https://www-webofscience-com.ezproxy.lib.vutbr.cz/wos/woscc/full-record/WOS:001135266200001

BibTex

@article{BUT187390,
  author="Sami {Baraket} and Brahim {Dridi} and Rachet {Jaidane} and Vicentiu {Radulescu}",
  title="Ground states of weighted 4D biharmonic equations with exponential growth",
  journal="Mathematical Methods in the Applied Sciences",
  year="2024",
  volume="47",
  number="6",
  pages="5007--5030",
  doi="10.1002/mma.9851",
  issn="1099-1476",
  url="https://www-webofscience-com.ezproxy.lib.vutbr.cz/wos/woscc/full-record/WOS:001135266200001"
}