Eigenvalue homogenization for quasilinear elliptic operators in one space dimension

Abstract

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.

This paper has been withdraw due to an improvement on the results that will be uploaded as a different article soon. The results in the new article will include also the ones in 1201.1219

References in corpus (2)

• Convergence Rates in L^2 for Elliptic Homogenization Problems
• Eigenvalue homogenization for quasilinear elliptic operators

Cited by in corpus (3)

• Eigenvalue homogenization for quasilinear elliptic equations with different boundary conditions
• Convergence rates in a weighted Fucik problem
• Estimates of Eigenvalues and Eigenfunctions in Periodic Homogenization