Illinois Journal of Mathematics

On a linearized p-Laplace equation with rapidly oscillating coefficients

Harri Varpanen

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Abstract

Related to a conjecture of Tom Wolff, we solve a singular Neumann problem for a linearized $p$-Laplace equation in the unit disk.

Article information

Source
Illinois J. Math., Volume 59, Number 2 (2015), 499-529.

Dates
Received: 25 August 2015
Revised: 19 November 2015
First available in Project Euclid: 5 May 2016

Permanent link to this document
https://projecteuclid.org/euclid.ijm/1462450711

Digital Object Identifier
doi:10.1215/ijm/1462450711

Mathematical Reviews number (MathSciNet)
MR3499522

Zentralblatt MATH identifier
1345.35050

Subjects
Primary: 35J70: Degenerate elliptic equations
Secondary: 35J25: Boundary value problems for second-order elliptic equations 35J92: Quasilinear elliptic equations with p-Laplacian

Citation

Varpanen, Harri. On a linearized p -Laplace equation with rapidly oscillating coefficients. Illinois J. Math. 59 (2015), no. 2, 499--529. doi:10.1215/ijm/1462450711. https://projecteuclid.org/euclid.ijm/1462450711


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