Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence and Regularity of Weak Solutions for a Thermoelectric Model   This paper concerns a time-independent thermoelectric model with two
different boundary conditions. The model is a nonlinear coupled system of the
Maxwell equations and an elliptic equation. By analyzing carefully the
nonlinear structure of the equations, and with the help of the De Giorgi-Nash
estimate for elliptic equations, we obtain existence of weak solutions on
Lipschitz domains for general boundary data. Using Campanato's method, we
establish regularity results of the weak solutions.

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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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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
0
The categories of this paper are: hep-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: supr-con