C. De Coster

collaborators

2 papers

math.AP2020

Multiple bounded variation solutions for a prescribed mean curvature equation with Neumann boundary conditions

A. Boscaggin, F. Colasuonno, C. De Coster

We prove the existence of multiple positive BV-solutions of the Neumann problem $$ \begin{cases} \displaystyle -\left(\frac{u'}{\sqrt{1+u'^2}}\right)'=a(x)f(u)\quad&\mbox{in }(0,1)…

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…