On a class of elliptic equations with Critical Perturbations in the hyperbolic space

2023/05/31 by Ganguly, Debdip, Gupta, Diksha, Sreenadh, K. · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2305.19781

Abstract

We study the existence and non-existence of positive solutions for the following class of nonlinear elliptic problems in the hyperbolic space -Δ_\mathbbB^N u-λu=a(x)u^p-1 + ε u^{2^*-1} in \mathbbB^N, u ∈ H¹(\mathbbB^N), where \mathbbB^N denotes the hyperbolic space, 2

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