Year: 2011
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Authors: Squassina, Marco, Van Schaftingen, Jean
Institutions: University of Verona, UCLouvain
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Università degli Studi di Verona
OpenAlex ID: W2122231413