Maximal domains of the $$(\lambda ,\mu )$$-parameters to existence of entire positive solutions for singular quasilinear elliptic systems

Singular quasilinear convective elliptic systems in $R^N$

“…Singular elliptic problems in R N have a long history, that traces back to [17,6,3,4,19] for semi-linear equations. More recent results, involving also systems, can be found in [23,11,22,25] and the references therein.…”

Some recent results on singular $ p $-Laplacian systems

“…singular at zero, and λ, µ ∈ R + , was thoroughly investigated in [67]. Under suitable hypotheses, it is shown that there exists an open set Θ ⊆ (R + ) 2 , whose part of its boundary contained in (R + ) 2 , say Γ, turns out to be a continuous monotone curve, such that (31) admits a C 1 -solution if (λ, µ) ∈ Θ and has no solution when (λ, µ) ∈ (R + ) 2 \ (Θ ∪ Γ).…”

Some recent results on singular p-laplacian systems

“…), f i is singular at zero, and λ, µ > 0, was thoroughly investigated in [66]. Under suitable hypotheses, it is shown that there exists an open set Θ ⊆ (R + ) 2 , whose part of its boundary contained in (R + ) 2 , say Γ, turns our a continuous monotone curve, such that (4.6) admits a C 1 -solution if (λ, µ) ∈ Θ and has no solution when (λ, µ) ∈ (R + ) 2 \ (Θ ∪ Γ).…”