In this article we establish the existence of at least one non-trivial classical solution for Dirichlet quasilinear systems with a nonlinear dependence on the derivative. We use variational methods for smooth functionals defined on reflexive Banach spaces, and assumptions on the asymptotic behaviour of the nonlinear data.

Existence of solutions for Dirichlet quasilinear systems including a nonlinear function of the derivative

FERRARA, Massimiliano
Validation
;
2016-01-01

Abstract

In this article we establish the existence of at least one non-trivial classical solution for Dirichlet quasilinear systems with a nonlinear dependence on the derivative. We use variational methods for smooth functionals defined on reflexive Banach spaces, and assumptions on the asymptotic behaviour of the nonlinear data.
2016
Classical solution, Dirichlet quasilinear system, critical point theory,
File in questo prodotto:
File Dimensione Formato  
Ferrara et al. EJDE 2016.pdf

accesso aperto

Tipologia: Versione Editoriale (PDF)
Licenza: Creative commons
Dimensione 207.22 kB
Formato Adobe PDF
207.22 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/3431
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 10
  • ???jsp.display-item.citation.isi??? 0
social impact