David G. Costa

most citedExistence and nonexistence of least energy solutions of the Neumann problem for a semilinear elliptic equation with critical Sobolev exponent and a critical lower-order perturbation

9 citations · 10 across the 2 of their papers we have counts for

collaborators

2 papers

math.AP2014★ 1 cited

Asymptotics of ground states for fractional Hénon systems

David G. Costa, Olímpio H. Miyagaki, Marco Squassina +1

We investigate the asymptotic behavior of positive ground states for Hénon type systems involving a fractional Laplacian on a bounded domain, when the powers of the nonlinearity ap…

math.AP2014★ 9 cited

Existence and nonexistence of least energy solutions of the Neumann problem for a semilinear elliptic equation with critical Sobolev exponent and a critical lower-order perturbation

David G. Costa, Pedro M. Girão

Let $Ω$ be a smooth bounded domain in $R^{N}$ , with $N \geq 5$ , $a > 0$ , $α \geq 0$ and $2^{*} = \frac{2 N}{N - 2}$ . We show that the the exponent $q = \frac{2 ( N - 1 )}{N - 2}$ plays a crit…