Khademloo, S., Khanjany Ghazi, S. (2018). The Solvability of Concave-Convex Quasilinear Elliptic Systems Involving $p$-Laplacian and Critical Sobolev Exponent. Sahand Communications in Mathematical Analysis, 12(1), 39-57. doi: 10.22130/scma.2018.46462.98

Somayeh Khademloo; Saeed Khanjany Ghazi. "The Solvability of Concave-Convex Quasilinear Elliptic Systems Involving $p$-Laplacian and Critical Sobolev Exponent". Sahand Communications in Mathematical Analysis, 12, 1, 2018, 39-57. doi: 10.22130/scma.2018.46462.98

Khademloo, S., Khanjany Ghazi, S. (2018). 'The Solvability of Concave-Convex Quasilinear Elliptic Systems Involving $p$-Laplacian and Critical Sobolev Exponent', Sahand Communications in Mathematical Analysis, 12(1), pp. 39-57. doi: 10.22130/scma.2018.46462.98

Khademloo, S., Khanjany Ghazi, S. The Solvability of Concave-Convex Quasilinear Elliptic Systems Involving $p$-Laplacian and Critical Sobolev Exponent. Sahand Communications in Mathematical Analysis, 2018; 12(1): 39-57. doi: 10.22130/scma.2018.46462.98

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

^{}Department of Basic Sciences, Babol Noushirvani University of Technology, 47148-71167, Babol, Iran.

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.

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