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.
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Silva, K., Macedo, A. On the extremal parameters curve of a quasilinear elliptic system of differential equations. Nonlinear Differ. Equ. Appl. 25, 36 (2018). https://doi.org/10.1007/s00030-018-0527-5
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DOI: https://doi.org/10.1007/s00030-018-0527-5
Keywords
- Elliptic system
- p-Laplacian
- Variational methods
- Extremal paramters
- Nehari manifold
- Fibering method
- Indefinite nonlinearity