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arxiv: 1203.2091 · v3 · pith:6T4TAIQKnew · submitted 2012-03-08 · 🧮 math.AP

Eigenvalue homogenization for quasilinear elliptic operators in one space dimension

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keywords convergenceexplicitboundsconstantdimensiondimensionaleigenvalueeigenvalues
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In this paper we study the rate of convergence of the eigenvalues of 1-dimensional rapidly oscillating $p-$laplacian type problems and find explicit order of convergence both in $k$ and in $\ve$. Moreover, explicit bounds on the constant entering in the estimate are also obtained.

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