Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840896 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 19 Pages |
Abstract
If GG is a compact Lie group acting linearly on a Banach space XX and ff is a GG-invariant function on XX, we provide some new versions of the so-called Palais’ principle of symmetric criticality for f:X→R̄, in the framework of non-smooth critical point theory. We apply the results to a class of quasi-linear PDEs associated with invariant functionals which are merely lower semi-continuous and thus could not be treated by previous non-smooth versions of the principle in the literature.
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Authors
Marco Squassina,