Systems of quasilinear elliptic equations with dependence on the gradient via subsolution-supersolution method

Francesca Vetro, Calogero Vetro, Dumitru Motreanu

Risultato della ricerca: Article

5 Citazioni (Scopus)

Abstract

For the homogeneous Dirichlet problem involving a system of equations driven by (p, q)-Laplacian operators and general gradient dependence we prove the existence of solutions in the ordered rectangle determined by a subsolution-supersolution. This extends the preceding results based on the method of subsolution-supersolution for systems of elliptic equations. Positive and negative solutions are obtained.
Lingua originaleEnglish
pagine (da-a)309-321
Numero di pagine13
RivistaDISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S
Volume11
Stato di pubblicazionePublished - 2017

All Science Journal Classification (ASJC) codes

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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