Uniqueness of σ-regular solutions of quasilinear elliptic problems

2012/01/01 by Lorenzo D’Ambrosio, Lorenzo D'Ambrosio, D'Ambrosio, Lorenzo +2
Computer Science · Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations #math.AP

paper · pdf · doi:10.48550/arxiv.1211.0623

28 pages. arXiv admin note: text overlap with arXiv:1209.1901

openalex publication_date 2012/01/01 · arxiv created 2012/11/03 · arxiv updated 2012/11/06 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

We study the uniqueness problem of σ-regular solution of the equation, -Δ_p u+ \abs u^q-1u =h on \RN, where q>p-1>0. and N> p. Other coercive type equations associated to more general differential operators are also investigated. Our uniqueness results hold for equations associated to the mean curvature type operators as well as for more general quasilinear subelliptic operators.

Citations

• A new critical curve for a class of quasilinear elliptic systems

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