Article ID Journal Published Year Pages File Type
837231 Nonlinear Analysis: Real World Applications 2014 9 Pages PDF
Abstract

•We get a relation about the positive solutions of our problem.•Our problem is involving critical nonlinearities.•Our result is available for sub-linear term |u|q−2u|u|q−2u with all 1

In this paper, we study the multiplicity results of positive solutions for a semi-linear elliptic system involving both concave–convex and critical growth terms. With the help of Nehari manifold and Lusternik–Schnirelmann category, we prove that the problem admits at least cat(Ω)+1cat(Ω)+1 distinct positive solutions.

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