2 papers
math.FA2025
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…
math.CA2012
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…