In this article, we study the following fractional elliptic equation with critical growth and
singular nonlinearity:(-Δ) s⁢ u= u-q+ λ⁢ u 2 s*-1, u> 0 in⁢ Ω, u= 0 in⁢ ℝ n∖ Ω, where Ω is a …

In this article we present a new fixed point theorem for a class of general mixed monotone
operators, which extends the existing corresponding results. Moreover, we establish some …

This paper deals with singular semilinear elliptic equations in bounded domains with
Dirichlet boundary data. The elliptic operator is a second-order operator not necessarily in …

Publisher Summary Reaction-diffusion equations have played an important role in the study
of many different phenomena related with applications. These applications include, among …

In this article, we study the fractional Laplacian equation with critical growth and singular
nonlinearity (-∆) su= λα (x) uq+ u2* s-1, u> 0 in Ω, u= 0 in ℝn\Ω, where Ω is a bounded …

We prove uniqueness and asymptotic behavior of positive radial solutions to the p-Laplacian
problem {− Δ pu= λ K (| x|) f (u) in| x|> r 0, u= 0 on| x|= r 0, u (x)→ 0 as| x|→∞, where Ω={x∈ …

This article deals with the existence of the following quasilinear degenerate singular elliptic
equation:(P_ λ)\left {-div (w (x)| ∇ u|^ p-2 ∇ u) &= g_ λ (u),\; u> 0\; in\; Ω,\u&= 0\quad …

In this article, we study the following non-linear Choquard equation with singular non-
linearity where is a bounded domain in with smooth boundary, and. Using variational …

Branches of positive and free boundary solutions for some singular quasilinear elliptic problems
Page 1 J. Math. Anal. Appl. 352 (2009) 449–474 www.elsevier.com/locate/jmaa Branches of …

The aim of this paper is to investigate the existence of two positive solutions to subcritical
and critical fractional integro‐differential equations driven by a nonlocal operator LK p …