Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Lagrange Multiplier Method for Semilinear Elliptic State Constrained
  Optimal Control Problems   In this paper we apply an augmented Lagrange method to a class of semilinear
elliptic optimal control problems with pointwise state constraints. We show
strong convergence of subsequences of the primal variables to a local solution
of the original problem as well as weak convergence of the adjoint states and
weak* convergence of the multipliers associated to the state constraint.
Moreover, we show existence of stationary points in arbitrary small
neighborhoods of local solutions of the original problem. Additionally, various
numerical results are presented.

9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex