Optimal design problems governed by the nonlocal \(p\)-Laplacian equation

DOI10.3934/mcrf.2020030zbMath1462.49040OpenAlexW3034690440MaRDI QIDQ829011

Fuensanta Andrés, Jesús Rosado, Julio Muñoz

Publication date: 5 May 2021

Published in: Mathematical Control and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mcrf.2020030

zbMATH Keywords

optimal control\(G\)-convergence\(p\)-Laplacianoptimal designnonlocal elliptic equationsapproximation of partial differential equations

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Existence of optimal solutions to problems involving randomness (49J55) Generalized solutions to partial differential equations (35D99) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (3)

The dual approach to optimal control in the coefficients of nonlocal nonlinear diffusion ⋮ The Nonlocal Kelvin Principle and the Dual Approach to Nonlocal Control in the Conduction Coefficients ⋮ Nonlocal Basis Pursuit: Nonlocal Optimal Design of Conductive Domains in the Vanishing Material Limit

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