Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Duality of boundary value problems for minimal and maximal surfaces   In 1966, Jenkins and Serrin gave existence and uniqueness results for
infinite boundary value problems of minimal surfaces in the Euclidean space,
and after that such solutions have been studied by using the univalent harmonic
mapping theory. In this paper, we show that there exists a one-to-one
correspondence between solutions of infinite boundary value problems for
minimal surfaces and those of lightlike line boundary problems for maximal
surfaces in the Lorentz-Minkowski spacetime. We also investigate some symmetry
relations associated with the above correspondence together with their
conjugations, and observe function theoretical aspects of the geometry of these
surfaces. Finally, a reflection property along lightlike line segments on
boundaries of maximal surfaces is discussed.

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The categories of this paper are: q-bio
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: cs