A Laplacian System With Sign-Changing Weight Function

2025/11/26 by Kazemipoor, Seyyed Sadegh, Ebrahimi, Hadiseh
#35D30 #35J20 #35j50 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2511.21447

Abstract

We prove the existence of at least one positive solution for the Laplacian system -Δv=λa(x)|v|^q-2v+β\fracβα+βb(x)|u|^α|v|^β-2v&for~x∈Ω \endarray. On a bounded region Ω by using the Nehari manifold and the fibering maps associated with the Euler functional for the system.

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