Work

Homogenization of a Monotone Robin Problem in a Domain with a Thick Oscillating Boundary

Year: 2026

Type: article

Abstract: In this paper, the asymptotics of an elliptic boundary value problem in two dimensions with a thick oscillating boundary Γε are characterized, as the period of oscillations ε tends to zero. On Γε, a nonlinear Robin boundary condition is prescribed, where the nonlinear function is monotone, regular, and of polynomial growth. The asymptotics depend on both the geometric oscillations and the rapidly oscillating coefficients of the differential operator. The methods of Minty for monotone operators, together with periodic unfolding adapted to the problem domain, introduced in a previous paper by the authors, are applied. The homogenized problem is described, as well as the convergence of the energies.

Source: Mathematics

DOI: 10.3390/math14213892

Authors: Patrizia Donato, Klas Pettersson

Institutions: Centre National de la Recherche Scientifique, Laboratoire de Mathématiques Raphaël Salem, Université de Rouen Normandie

Language: English

Topic: Advanced Mathematical Modeling in Engineering

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

OpenAlex ID: W7223651687

FWCI:

Cites: 10

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Related to: 10