On a singular nonlinear dirichlet problem

Multi-parameter bifurcation and asymptotics for the singular Lane–Emden–Fowler equation with a convection term

“…(f 2) the mapping (0, ∞) ∋ s −→ f (x, s) s is nondecreasing for all x ∈ Ω, then problem (1.2) has solutions only if µ > 0 is small enough (see [11]). In turn, when f satisfies the following assumptions…”

“…(f 4) lim s→∞ f (x, s) s = 0, uniformly for x ∈ Ω, then problem (1.2) has at least one solutions for all µ > 0 (see [10,11,18,35] and the references therein). The same assumptions will be used in the study of (1.1).…”

Existence and Multiplicity of Positive Solutions for Singular $p$-Laplacian Equations

“…[5,7,8,11,12] and their references). For bounded Ω, in [7] it is shown that Problem (2) with 0 < γ < 1 has a unique positive weakly solution in…”

Entire positive solutions of the singular Emden-Fowler equation with nonlinear gradient term

“…This result is generalized for any γ > 0 via the sub and super solutions method in Shaker [20] or by other methods in Dalmasso [7]. For further results related to singular elliptic equations we also refer to [3,4,5,6,11].…”