Unit:
Κατεύθυνση Εφαρμοσμένα ΜαθηματικάLibrary of the School of Science
Author:
Καραντζάς Νικόλαος
Supervisors info:
Ν. Αλικάκος Καθηγητής (επιβλέπων), Χρ.Αθανασιάδης Καθηγητής , Γ. Καραλή Επίκ. Καθηγ.
Original Title:
Ετεροκλινείς τροχιές για το σύστημα (|u_x |^(p-2) u_x )_x-1/q W_u (u)=0 οι οποίες συνδέουν ολικά ελάχιστα του δυναμικού W.
Translated title:
Heteroclinic orbits for the system (|u_x |^(p-2) u_x )_x-1/q W_u (u)=0 connecting global minima of the potential W.
Summary:
The problem we study is the existence of heteroclinic orbits for the system of
equations , where W is a smooth potential function with a finite number of
global minima. Our goal is to generalize the theory presented by [AF] and [ABC]
for the case p=q=2. Our approach is variational while all results indicate that
the theory can be generalized for any p>1.
Keywords:
Eteroclinics, Connections, Potential global minima, Calculus of variations, Minimization
