Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Semiclassical stationary states for nonlinear Schroedinger equations
  with fast decaying potentials   We study the existence of stationnary positive solutions for a class of
nonlinear Schroedinger equations with a nonnegative continuous potential V.
Amongst other results, we prove that if V has a positive local minimum, and if
the exponent of the nonlinearity satisfies N/(N-2)<p<(N+2)/(N-2), then for
small epsilon the problem admits positive solutions which concentrate as
epsilon goes to 0 around the local minimum point of V. The novelty is that no
restriction is imposed on the rate of decay of V. In particular, we cover the
case where V is compactly supported.

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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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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: econ