C. Coster

collaborators

2 papers

math.AP2018

A priori bounds and multiplicity of solutions for an indefinite elliptic problem with critical growth in the gradient

Colette De Coster, Antonio J. Fernández, Louis Jeanjean

Let $Ω \subset R^{N}$ , $N \geq 2$ , be a smooth bounded domain. We consider a boundary value problem of the form $$-Δu = c_λ(x) u + μ(x) |\nabla u|^2 + h(x), \quad u \in H^1_0(…

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…