A. Fernández

collaborators

3 papers

math.AP2019

Existence and multiplicity for an elliptic problem with critical growth in the gradient and sign-changing coefficients

Colette De Coster, Antonio J. Fernández

Let $Ω \subset R^{N}$ , $N \geq 2$ , be a smooth bounded domain. We consider the boundary value problem \begin{equation} \label{Plambda-Abstract-ch3} \tag{ $P_{λ}$ } -Δu = c_λ(x) u…

math.AP2018

Nonlinear fractional Laplacian problems with nonlocal "gradient terms"

Boumediene Abdellaoui, Antonio J. Fernández

Let $Ω \subset R^{N}$ , $N \geq 2$ , be a smooth bounded domain. For $s \in (1/2, 1)$ , we consider a problem of the form \[ \left\{\begin{aligned} (-Δ)^s u & = μ(x)\, \mathbb{D}…

math.AP2018

Existence and Multiplicity for elliptic p-Laplacian problems with critical growth in the gradient

Colette De Coster, Antonio J. Fernández

We consider the boundary value problem $-Δ_p u = λc(x) |u|^{p-2}u + μ(x) |\grad u|^p + h(x)$, $u \in W_{0}^{1, p} (Ω) \cap L^{\infty} (Ω)$ , where $Ω \subset R^{N}$ , $N \geq 2$ , is…