• Title of article

    The Solvability of Concave-Convex Quasilinear Elliptic Systems Involving p-Laplacian and Critical Sobolev Exponent

  • Author/Authors

    Khademloo ، Somayeh - Babol Noushirvani University of Technology , Khanjany Ghazi ، Saeed - Babol Noushirvani University of Technology

  • Pages
    19
  • From page
    39
  • To page
    57
  • Abstract
    In this work, we study the existence of non-trivial multiple solutions for a class of quasilinear elliptic systems equipped with concave-convex nonlinearities and critical growth terms in bounded domains. By using the variational method, especially Nehari manifold and Palais-Smale condition, we prove the existence and multiplicity results of positive solutions.
  • Keywords
    Variational methods , Nehari manifold , Dirichlet boundary condition , Critical Sobolev exponent
  • Journal title
    Sahand Communications in Mathematical Analysis
  • Serial Year
    2018
  • Journal title
    Sahand Communications in Mathematical Analysis
  • Record number

    2454876

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2454876