2005/67/3-4 (2) — DOI: 10.5486/PMD.2005.2972 — pp. 265-284
Full Text Abstract

Minimizers of nonsmooth functionals on manifolds and nonlinear eigenvalue problems with constraints

Authors: Sophia Th. Kyritsi and Nikolaos S. Papageorgiou

Keywords: smooth manifold of codimension one, locally Lipschitz function, Clarke subdifferential, nonsmooth PS-condition, $W^1, p_0$ versus $C^1_0$ local minimizer, eigenvalue problems, multiple solutions, Lagrange multipliers

Mathematics Subject Classification: 35J85, 35R70, 35J50, 49K10, 35J20, 49R50