On a linearized p-Laplace equation with rapidly oscillating coefficients
Harri Varpanen
TL;DR
This paper addresses a conjecture by Tom Wolff by solving a singular Neumann problem for a linearized p-Laplace equation with rapidly oscillating coefficients in the unit disk.
Contribution
It provides a solution to a longstanding conjecture involving a singular Neumann problem for a linearized p-Laplace equation with oscillatory coefficients.
Findings
Solved a conjecture related to the linearized p-Laplace equation.
Developed methods for handling rapidly oscillating coefficients.
Extended understanding of boundary value problems in nonlinear PDEs.
Abstract
Related to a conjecture of Tom Wolff, we solve a singular Neumann problem for a linearized p-Laplace equation in the unit disk.
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