Infinitely many sign-changing solutions for a class of elliptic problem with exponential critical growth

2015/03/31 by Denilson S. Pereira, Pereira, Denilson
Computer Science · Mathematics · #35A15 #35J15 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1503.09056

openalex publication_date 2015/03/31 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

In this work we prove the existence of infinitely many nonradial solutions that change signal to the problem -Δu=f(u) in B with u=0 on ∂ B, where B is the unit ball in ℝ² and f is a continuous and odd function with exponential critical growth.

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