TY - JOUR
AU - Gavioli, Andrea
PY - 2009/12/01
Y2 - 2023/03/27
TI - On the existence of heteroclinic trajectories for asymptotically autonomous equations
JF - Topological Methods in Nonlinear Analysis
JA - TMNA
VL - 34
IS - 2
SE -
DO -
UR - https://apcz.umk.pl/TMNA/article/view/TMNA.2009.041
SP - 251 - 266
AB - By means of a minimax argument, we prove the existence of at least one heteroclinic solution to a scalar equation of the kind $\ddot x=a(t)V'(x)$, where $V$ is a double well potential, $0< l\le a(t)\le L$, $a(t)\to l$ as $|t|\to\infty$ and the ratio $L/l$ is suitably bounded from above.
ER -