Unbounded critical points for a class of lower semicontinuous functionals

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...

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Bibliographic Details
Published in:Journal of Differential Equations 2004-06, Vol.201 (1), p.25-62
Main Authors: Pellacci, Benedetta, Squassina, Marco
Format: Article
Language:English
Subjects:
Lower semicontinuous functionals
Multiplicity of solutions
Nonsmooth critical point theory
Quasilinear elliptic equations
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Summary: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.
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2004.03.002