On the limiting problems for two eigenvalue systems and variations

Hamilton P Bueno, Aldo H S Medeiros

Let $\Omega$ be a bounded, smooth domain. Supposing that $\alpha (p)+\beta (p)=p$, $\forall p\in \left(\frac{N}{s},\infty \right)$ and $\displaystyle\lim_{p \to \infty} α(p)/{p} = θ\in (0,1)…