Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Residual-Free Bubble Formulation for nonlinear elliptic problems with
  oscillatory coefficients   We present an investigation of the Residual Free Bubble finite element method
for a class of multiscale nonlinear elliptic partial differential equations.
After proposing a nonlinear version for the method, we address fundamental
questions as existence and uniqueness of solutions. We also obtain a best
approximation result, and investigate possible linearizations that generate
different versions for the method. As far as we are aware, this is the first
time that an analysis for the nonlinear Residual Free Bubble method is
considered.

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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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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: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: cond-mat
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The categories of this paper are: supr-con