2 papers
math.AP2025
Biharmonic nonlinear vector field equations in
Ioannis Arkoudis, Panayotis Smyrnelis
Following the approach of Brezis and Lieb, we prove the existence of a ground state solution for the biharmonic nonlinear vector field equations in the limiting case of space dimen…
math.AP2025
Ground state of some variational problems in Hilbert spaces and applications to P.D.E
Ioannis Arkoudis, Panayotis Smyrnelis
We prove the existence of a ground state for some variational problems in Hilbert spaces, following the approach of Berestycki and Lions. Next, we examine the problem of constructi…