70 citations · 257 across the 32 of their papers we have counts for
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math.AP2017★ 3 cited
Optimal control of nonlinear elliptic problems with sparsity
Augusto C. Ponce, Nicolas Wilmet
We study the minimization of the cost functional \[ F(μ) = \lVert u - u_d \rVert_{L^p(Ω)} + α\lVert μ\rVert_{\mathcal{M}(Ω)}, \] where the controls are taken in the space of fi…
math.AP2017★ 11 cited
Schroedinger operators involving singular potentials and measure data
Augusto C. Ponce, Nicolas Wilmet
We study the existence of solutions of the Dirichlet problem for the Schroedinger operator with measure data $$ \left\{ \begin{alignedat}{2} -Δu + Vu & = μ&& \quad \text{in } Ω,\\…
math.AP2017★ 12 cited
Hopf potentials for the Schrödinger operator
Luigi Orsina, Augusto C. Ponce
We establish the Hopf boundary point lemma for the Schrödinger operator involving potentials that merely belong to the space . More precisely, we prove…