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math.AP2017
A variational problem associated to a hyperbolic Caffarelli--Kohn--Nirenberg inequality
Hardy Chan, Luiz Fernando de Oliveira Faria, Shaya Shakerian
We prove a Caffarelli--Kohn--Nirenberg inequality in the hyperbolic space. For a semilinear elliptic equation involving the associated weighted Laplace--Beltrami operator, we estab…
math.CA2017
The Multiplier Problem of the Calculus of Variations for Scalar Ordinary Differential Equations
Hardy Chan
In the inverse problem of the calculus of variations one is asked to find a Lagrangian and a multiplier so that a given differential equation, after multiplying with the multiplier…