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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…
math.AP2012
Concentration profiles for the Trudinger-Moser functional are shaped like toy pyramids
Cyril Tintarev, David G. Costa
This paper answers the conjecture of Adimurthi and Struwe that the semilinear Trudinger-Moser functional (as well as functionals with more general critical nonlinearities) satisfie…