Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized spectrum of the $\boldsymbol{(p,2)}$-Laplacian under a
  parametric boundary condition   In this paper we study an eigenvalue problem for the so called
$(p,2)$-Laplace operator on a smooth bounded domain under a nonlinear Steklov
type boundary condition, namely \begin{equation} \left\{ \begin{aligned}
-\Delta_pu-\Delta u & =\lambda a(x)u \ \ \text{in}\ \Omega,\\ (|\nabla
u|^{p-2}+1)\dfrac{\partial u}{\partial\nu} & =\lambda b(x)u \ \ \text{on}\
\partial\Omega . \end{aligned} \right. \end{equation} Under suitable
integrability and boundedness assumptions on the positive weight functions $a$
and $b$, we show that, for all $p>1$, the eigenvalue set consists of an
isolated null eigenvalue plus a continuous family of eigenvalues located away
from zero.

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The categories of this paper are: econ
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The categories of this paper are: eess
34
The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg