Work

Eigenvalue Homogenization for the p‐Laplacian With Rapidly Oscillating Lq Weights

Year: 2026

Type: article

Abstract: ABSTRACT In this paper, we study the convergence rates of variational eigenvalues of the ‐Laplacian with rapidly oscillating weights and potentials belonging in a suitable space. Our analysis covers both Dirichlet and Neumann boundary conditions, and we derive explicit estimates in terms of the eigenvalue index and the oscillation parameter . These results are obtained through a detailed examination of certain oscillatory integrals and extend previously known results in the literature.

Source: Mathematische Nachrichten

DOI: 10.1002/mana.70231

Author: Ariel Salort

Institution: Universidad San Pablo CEU

Language: English

Topic: Advanced Mathematical Modeling in Engineering

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: Consejo Nacional de Investigaciones Científicas y Técnicas, Universidad de Buenos Aires, Agencia Nacional de Promoción Científica y Tecnológica, Secretaría de Ciencia y Técnica, Universidad de Buenos Aires