existence and multiplicity of nontrivial solutions for‎ ‎$p$-laplacian system with nonlinearities of concave-convex type and‎ ‎sign-changing weight functions

Authors

s. khademloo

department of basic sciences, babol noushirvani university of technology, babol, iran s. khanjany ghazi

babol university of technology

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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Journal title:
bulletin of the iranian mathematical society

جلد ۴۰، شماره ۵، صفحات ۱۳۰۱-۱۳۲۶

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