Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Full Stability for Variational Nash Equilibriums of Parametric Optimal
  Control Problems of PDEs   This paper investigates full stability properties for \emph{variational Nash
equilibriums} of a system of parametric nonconvex optimal control problems
governed by semilinear elliptic partial differential equations. We first obtain
some new results on the existence of variational Nash equilibriums for the
system of original/parametric nonconvex optimal control problems. Then we
establish explicit characterizations of the Lipschitzian and H\"olderian full
stability of variational Nash equilibriums under perturbations. These results
deduce the equivalence between variational Nash equilibriums and local Nash
equilibriums in the classical sense.

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The categories of this paper are: cs
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph