For a general class of lower semicontinuous functionals, we prove existence and multiplicity of critical points, which turn out to be unbounded solutions to the associated Euler equation. We apply a nonsmooth critical point theory developed in [10,12,13] and applied in [8,9,20] to treat the case of continuous functionals. © 2004 Elsevier Inc. All rights reserved.
Pellacci, B., & Squassina, M. (2004). Unbounded critical points for a class of lower semicontinuous functionals. Journal of Differential Equations, 201(1), 25–62. https://doi.org/10.1016/j.jde.2004.03.002