Existence and multiplicity of nontrivial solutions for $p$-Laplacian system with nonlinearities of concave-convex type and sign-changing weight functions
1
Department of basic sciences, babol noushirvani university of technology, babol, Iran
2
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 $\mathbb{R}^2$.
Khademloo, S., & Khanjany Ghazi, S. (2014). Existence and multiplicity of nontrivial solutions for $p$-Laplacian system with nonlinearities of concave-convex type and sign-changing weight functions. Bulletin of the Iranian Mathematical Society, 40(5), 1301-1326.
MLA
S. Khademloo; S. Khanjany Ghazi. "Existence and multiplicity of nontrivial solutions for $p$-Laplacian system with nonlinearities of concave-convex type and sign-changing weight functions". Bulletin of the Iranian Mathematical Society, 40, 5, 2014, 1301-1326.
HARVARD
Khademloo, S., Khanjany Ghazi, S. (2014). 'Existence and multiplicity of nontrivial solutions for $p$-Laplacian system with nonlinearities of concave-convex type and sign-changing weight functions', Bulletin of the Iranian Mathematical Society, 40(5), pp. 1301-1326.
VANCOUVER
Khademloo, S., Khanjany Ghazi, S. Existence and multiplicity of nontrivial solutions for $p$-Laplacian system with nonlinearities of concave-convex type and sign-changing weight functions. Bulletin of the Iranian Mathematical Society, 2014; 40(5): 1301-1326.
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