TY - JOUR
AU - Squassina, Marco
AU - Van Schaftingen, Jean
PY - 2012/04/23
Y2 - 2024/06/20
TI - Finding critical points whose polarization is also a critical point
JF - Topological Methods in Nonlinear Analysis
JA - TMNA
VL - 40
IS - 2
SE -
DO -
UR - https://apcz.umk.pl/TMNA/article/view/TMNA.2012.037
SP - 371 - 379
AB - We show that near any given minimizing sequence of paths for the mountain pass lemma, there exists a critical point whose polarization is also a critical point. This is motivated by the fact that if any polarization of a critical point is also a critical point and the Euler-Lagrange equation is a second-order semi-linear elliptic problem, T. Bartsch, T. Weth and M. Willem (J. Anal. Math., 2005) have proved that the critical point is axially symmetric.
ER -