An obstacle control problem involving the p-Laplacian

2007/03/17 by Mouna Kraïem, Mouna Kraiem, Kraiem, Mouna
Mathematics · #34Kxx #49xx #65K10 #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics #math.AP #msc:34Kxx #msc:49xx #msc:65K10

paper · pdf · doi:10.48550/arxiv.math/0703511

arxiv created 2007/03/17 · openalex publication_date 2007/03/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider the analogous of the obtacle problem in H₀¹(Ω), on the space W^1,p₀(Ω). We prove an existence and uniqueness of the result. In a second time, we define the optimal control problem associated. The results, here enclosed, generalize the one obtained by D.R. Adams, S. Lenhard

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