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

Francesca Vetro, Calogero Vetro, Dumitru Motreanu

Research output: Contribution to journalArticlepeer-review

7 Citations (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.
Original languageEnglish
Pages (from-to)309-321
Number of pages13
JournalDISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S
Volume11
Publication statusPublished - 2017

All Science Journal Classification (ASJC) codes

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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