Non-radial solutions of the problem -Δu = |u|^4/(n-2)u in Rⁿ, n≥3

2012/02/05 by Nikos Labropoulos, Labropoulos, Nikos
Computer Science · Mathematics · #Analysis of PDEs (math.AP) #Contact Mechanics and Variational Inequalities #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1202.1013

openalex publication_date 2012/02/05 · openalex created_date 2022/09/01 · openalex updated_date 2026/07/28

Abstract

We prove the existence of an infinite sequence of distinct non-radial nodal G-invariant solutions for the following critical nonlinear elliptic problem: (P) *20c -Δu = |u|^4/(n-2)u, u∈ C²(ℝⁿ), n≥3

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