106 citations · 110 across the 5 of their papers we have counts for
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On the de Thélin eigenvalue problem and Landesman-Lazer conditions for quasilinear systems
David Arcoya, Natalino Borgia, Silvia Cingolani
In this paper we prove that the smallest eigenvalue of the eigenvalue problem for a quasilinear elliptic systems introduced by de Thélin in \cite{DT}, is not only simple (in…
Existence and nonexistence of solutions for singular quadratic quasilinear equations
David Arcoya, José Carmona, Tommaso Leonori +3
We study both existence and nonexistence of nonnegative solutions for nonlinear elliptic problems with singular lower order terms that have natural growth with respect to the gradi…
Nonlocal operators in divergence form and existence theory for integrable data
David Arcoya, Serena Dipierro, Edoardo Proietti Lippi +2
We present an existence and uniqueness result for weak solutions of Dirichlet boundary value problems governed by a nonlocal operator in divergence form and in the presence of a da…
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…