9 citations · 10 across the 7 of their papers we have counts for
7 papers
A note on Trudinger-Moser Functions and Reproducing Kernel Hilbert Spaces
David G. Costa, Hossein Tehrani
After a brief review of the definition of the Trudinger-Moser functions in dimension and some basic notions in the theory of ``Reproducing Kernel Hilbert Spaces (RKHS)'', we…
The Nehari manifold for indefinite Kirchhoff problem with Caffarelli-Kohn-Nirenberg type critical growth
Pawan Kumar Mishra, Joao Marcos do Ó, David G. Costa
In this paper we study the following class of nonlocal {problems} involving Caffarelli-Kohn-Nirenberg type critical growth \begin{align*} L(u)&-λh(x)|x|^{-2(1+a)}u=μf(x)|u|^{q-2}u+…
Existence and concentration of positive solutions for nonlinear Kirchhoff type problems with a general critical nonlinearity
Jianjun Zhang, David G. Costa, João Marcos Do Ó
We are concerned with the following Kirchhoff type equation $$-\varepsilon^2 M \left(\varepsilon^{2-N} \int_{\mathbb{R}^N} | \nabla u|^2\, \mathrm{d} x\right) Δu+V(x)u = f(u),\ x \…
Asymptotics of ground states for fractional Hénon systems
David G. Costa, Olímpio H. Miyagaki, Marco Squassina +1
We investigate the asymptotic behavior of positive ground states for Hénon type systems involving a fractional Laplacian on a bounded domain, when the powers of the nonlinearity ap…
Existence and nonexistence of least energy solutions of the Neumann problem for a semilinear elliptic equation with critical Sobolev exponent and a critical lower-order perturbation
David G. Costa, Pedro M. Girão
Let be a smooth bounded domain in , with , , and . We show that the the exponent plays a crit…
On a class of singular second-order Hamiltonian systems with infinitely many homoclinic solutions
David G. Costa, Hossein Tehrani
We show existence of infinitely many homoclinic orbits at the origin for a class of singular second-order Hamiltonian systems $$ \ddot{u} + V_u (t,u)=0\,,\quad -\infty < t < \infty…