Article ID Journal Published Year Pages File Type
843885 Nonlinear Analysis: Theory, Methods & Applications 2008 13 Pages PDF
Abstract

In this paper we study the combined effect of concave and convex nonlinearities on the number of solutions for a semilinear elliptic system (Eλ,μ)(Eλ,μ) with sign-changing weight function. With the help of the Nehari manifold, we prove that the system has at least two nontrivial nonnegative solutions when the pair of the parameters (λ,μ)(λ,μ) belongs to a certain subset of R2R2.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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