Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonsmooth Critical Point Theorems Without Compactness   We establish an abstract critical point theorem for locally Lipschitz
functionals that does not require any compactness condition of Palais-Smale
type. It generalizes and unifies three other critical point theorems
established in [Jabri-Moussaoui] for $C^{1}$-functionals under slightly
stronger assumptions. Our approach uses continuous selections of multivalued
mappings.

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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn