Existence and multiplicity of nontrivial solutions for $p$-Laplacian system with nonlinearities of concave-convex type and sign-changing weight functions
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Abstract:
This paper is concerned with the existence of multiple positive solutions for a quasilinear elliptic system involving concave-convex nonlinearities and sign-changing weight functions. With the help of the Nehari manifold and Palais-Smale condition, we prove that the system has at least two nontrivial positive solutions, when the pair of parameters $(lambda,mu)$ belongs to a certain subset of $mathbb{R}^2$.
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existence and multiplicity of nontrivial solutions for $p$-laplacian system with nonlinearities of concave-convex type and sign-changing weight functions
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Journal title
volume 40 issue 5
pages 1301- 1326
publication date 2014-10-01
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