By means of a minimax argument, we prove the existence of at least one heteroclinic solution to a scalar equation of the kind x''=a(t)V'(x), where V is a double well potential, 0<l<=a(t)<=L, a(t) converges to l as |t| diverges and the ratio L/l is suitably bounded from above.
On the existence of heteroclinic trajectories for asymptotically autonomous equations / Gavioli, Andrea. - In: TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS. - ISSN 1230-3429. - STAMPA. - 34:2(2009), pp. 251-266. [10.12775/TMNA.2009.041]
On the existence of heteroclinic trajectories for asymptotically autonomous equations
GAVIOLI, Andrea
2009
Abstract
By means of a minimax argument, we prove the existence of at least one heteroclinic solution to a scalar equation of the kind x''=a(t)V'(x), where V is a double well potential, 0
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