Assuming that f is a potential having three minima at the same level of energy, we study for the conservative equation u(iv)-g(u)u"-1/2g'(u)'(2)+f'(u)=0 (1) the existence of a heteroclinic connection between the extremal equilibria. Our method consists in minimizing the functional integral(-infinity)(+infinity) [1/2[(u"(2))+(u)u'(2)]+f(u)]dx whose Euler-Lagrange equation is given by (1), in a suitable space of functions
Bonheure, D., Sanchez, L., Tarallo, M., Terracini, S. (2003). Heteroclinic connections between nonconsecutive equilibria of a fourth order differential equation. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 17(4), 341-356 [10.1007/s00526-002-0172-y].
Heteroclinic connections between nonconsecutive equilibria of a fourth order differential equation
Terracini, S
2003
Abstract
Assuming that f is a potential having three minima at the same level of energy, we study for the conservative equation u(iv)-g(u)u"-1/2g'(u)'(2)+f'(u)=0 (1) the existence of a heteroclinic connection between the extremal equilibria. Our method consists in minimizing the functional integral(-infinity)(+infinity) [1/2[(u"(2))+(u)u'(2)]+f(u)]dx whose Euler-Lagrange equation is given by (1), in a suitable space of functions
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
