Solutions to the nonlinear obstacle problem with compact contact sets

2023/05/31 by Simon Eberle, Hui Yu, Eberle, Simon +1
Mathematics · #Advanced Differential Equations and Dynamical Systems #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric and Algebraic Topology #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2305.19963

openalex publication_date 2023/05/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For the obstacle problem with a nonlinear operator, we characterize the space of global solutions with compact contact sets. This is achieved by constructing a bijection onto a class of quadratic polynomials describing the asymptotic behavior of solutions.

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