On The Extremal Parameters Curve of a Quasilinear Elliptic System of Differential Equations

Abstract

We consider a system of quasilinear elliptic equations, with indefinite super-linear nonlinearity, depending on two real parameters $\lambda ,\mu$. By using the Nehari manifold and the notion of extremal parameter, we extend some results concerning existence of positive solutions.

References in corpus (2)

• Local minimizers over the Nehari manifold for a class of concave-convex problems with sign changing nonlinearity
• On branches of positive solutions for p-Laplacian problems at the extreme value of Nehari manifold method

Cited by in corpus (1)

• A new result on the existence and non-existence of positive solutions for two-parametric systems of quasilinear elliptic equations