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

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 prov...

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Autori principali:	Somayeh Khademloo, Saeed Khanjany Ghazi
Natura:	Artigo
Lingua:	Inglês
Pubblicazione:	University of Maragheh 2018-11-01
Serie:	Sahand Communications in Mathematical Analysis
Soggetti:	Variational methods Nehari manifold Dirichlet boundary condition Critical Sobolev exponent
Accesso online:	http://scma.maragheh.ac.ir/article_30802_0eb7522ae468435b9c608e6dbed0ccdc.pdf
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