A. Malchiodi

activity

20002007

most citedConformal Metrics with Constant Q-Curvature

18 citations · 26 across the 6 of their papers we have counts for

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Showing 2007Show all

3 papers · 1 filter

math.DG2007★ 18 cited

Conformal Metrics with Constant Q-Curvature

Andrea Malchiodi

We consider the problem of varying conformally the metric of a four dimensional manifold in order to obtain constant $Q$ -curvature. The problem is variational, and solutions are in…

math.AP2007★ 2 cited

Solutions to the nonlinear Schroedinger equation carrying momentum along a curve. Part I: study of the limit set and approximate solutions

Fethi Mahmoudi, Andrea Malchiodi, Marcelo Montenegro

We prove existence of a special class of solutions to the (elliptic) Nonlinear Schroeodinger Equation $- ε^{2} Δ ψ + V (x) ψ = ∣ ψ ∣^{p - 1} ψ$ , on a manifold or in the Euclidean space. Here…

math.AP2007★ 2 cited

Solutions to the nonlinear Schroedinger equation carrying momentum along a curve. Part II: proof of the existence result

Fethi Mahmoudi, Andrea Malchiodi

We prove existence of a special class of solutions to the (elliptic) Nonlinear Schroedinger Equation $- ε^{2} Δ ψ + V (x) ψ = ∣ ψ ∣^{p - 1} ψ$ on a manifold or in the Euclidean space. Here V…