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, (), -. 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, , , 2018, -. 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, (), pp. -. 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; (): -. doi: 10.22130/scma.2018.46462.98

The solvability of concave-convex quasilinear elliptic systems involving $p$-Laplacian and critical Sobolev exponent

Articles in Press, Accepted Manuscript , Available Online from 11 April 2018

^{}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 ofquasili near 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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