Logo del repository
  1. Home
 
Opzioni

ENTIRE SOLUTIONS OF CERTAIN FOURTH ORDER ELLIPTIC PROBLEMS AND RELATED INEQUALITIES

MITIDIERI ENZO
•
D'AMBROSIO LORENZO
2022
  • journal article

Periodico
ADVANCES IN NONLINEAR ANALYSIS
Abstract
We study distributional solutions of semilinear biharmonic equations of the type ∆2u+f(u)=0 onRN, where f is a continuous function satisfying f(t)t ≥ c|t|q+1 for all t ∈ R with c > 0 and q > 1. By using a new approach mainly based on careful choice of suitable weighted test functions and a new version of Hardy-Rellich inequalities, we prove several Liouville theorems independently of the dimension N and on the sign of the solutions.
DOI
10.1515/anona-2021-0217
WOS
WOS:000754763300002
Archivio
http://hdl.handle.net/11368/2999728
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85125491836
https://www.degruyter.com/document/doi/10.1515/anona-2021-0217/html
Diritti
open access
FVG url
https://arts.units.it/bitstream/11368/2999728/2/ANONA-D-21-00179_electronic.pdf
Soggetti
  • Liouville theorem

  • biharmonic operator

  • Hardy–Rellich inequal...

google-scholar
Get Involved!
  • Source Code
  • Documentation
  • Slack Channel
Make it your own

DSpace-CRIS can be extensively configured to meet your needs. Decide which information need to be collected and available with fine-grained security. Start updating the theme to match your nstitution's web identity.

Need professional help?

The original creators of DSpace-CRIS at 4Science can take your project to the next level, get in touch!

Realizzato con Software DSpace-CRIS - Estensione mantenuta e ottimizzata da 4Science

  • Impostazioni dei cookie
  • Informativa sulla privacy
  • Accordo con l'utente finale
  • Invia il tuo Feedback