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ELISABETTA TORNATORE

Location of solutions for quasi-linear elliptic equations with general gradient dependence

  • Authors: Motreanu, D.; Tornatore, E.
  • Publication year: 2017
  • Type: Articolo in rivista (Articolo in rivista)
  • Key words: (p, q)-laplacian; Gradient dependence; positive solution; Quasi-linear elliptic equations; subsolution-supersolution; Applied Mathematics
  • OA Link: http://hdl.handle.net/10447/253867

Abstract

Existence and location of solutions to a Dirichlet problem driven by (p, q)-Laplacian and containing a (convection) term fully depending on the solution and its gradient are established through the method of subsolution-supersolution. Here we substantially improve the growth condition used in preceding works. The abstract theorem is applied to get a new result for existence of positive solutions with a priori estimates.