%0 Journal Article
%T The Solvability of Concave-Convex Quasilinear Elliptic Systems Involving $p$-Laplacian and Critical Sobolev Exponent
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Khademloo, Somayeh
%A Khanjany Ghazi, Saeed
%D 2018
%\ 11/01/2018
%V 12
%N 1
%P 39-57
%! The Solvability of Concave-Convex Quasilinear Elliptic Systems Involving $p$-Laplacian and Critical Sobolev Exponent
%K Variational methods
%K Nehari manifold
%K Dirichlet boundary condition
%K Critical Sobolev exponent
%R 10.22130/scma.2018.46462.98
%X 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.
%U https://scma.maragheh.ac.ir/article_30802_0eb7522ae468435b9c608e6dbed0ccdc.pdf