3 citations · 5 across the 6 of their papers we have counts for
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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)…
Existence and multiplicity for an elliptic problem with critical growth in the gradient and sign-changing coefficients
Colette De Coster, Antonio J. Fernández
Let , , be a smooth bounded domain. We consider the boundary value problem \begin{equation} \label{Plambda-Abstract-ch3} \tag{} -Δu = c_λ(x) u…
Spectral analysis of a generalized buckling problem on a ball
Colette De Coster, Serge Nicaise, Christophe Troestler
In this paper, the spectrum of the following fourth order problem \begin{equation*} \begin{cases} Δ^2 u+νu=-λΔu &\text{in } D_1,\newline u=\partial_r u= 0 &\text{on } \partial D_1,…
Multiplicity results in the non-coercive case for an elliptic problem with critical growth in the gradient
Colette De Coster, Louis Jeanjean
We consider the boundary value problem \begin{equation} - Δu = λc(x)u+ μ(x) |\nabla u|^2 + h(x), \qquad u \in H^1_0(Ω) \cap L^{\infty}(Ω), \leqno{(P_λ)} \end{equation} where $Ω\sub…
Nodal properties of eigenfunctions of a generalized buckling problem on balls
Colette De Coster, Serge Nicaise, Christophe Troestler
In this paper we are interested in the following fourth order eigenvalue problem coming from the buckling of thin films on liquid substrates: \begin{equation*} \begin{cases} Δ^2 u+…
Remarks on the uniqueness for quasilinear elliptic equations with quadratic growth conditions
David Arcoya, Colette De Coster, Louis Jeanjean +1
In this note we present some uniqueness and comparison results for a class of problem of the form \begin{equation} \label{EE0} \begin{array}{c} - L u = H(x,u,\nabla u)+ h(x), \quad…
Continuum of solutions for an elliptic problem with critical growth in the gradient
David Arcoya, Colette De Coster, Louis Jeanjean +1
We consider the boundary value problem \begin{equation*} - Δu = λc(x)u+ μ(x) |\nabla u|^2 + h(x), \quad u \in H^1_0(Ω) \cap L^{\infty}(Ω) \eqno{(P_λ)} \end{equation*} where $Ω\subs…