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Lu Chen

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Open access Aug 2026

Existence and Nonexistence of Extremals for Trudinger–Moser Inequalities with \(L^{p}\)-Type Perturbation on any Bounded Planar Domains

Abstract. In this paper, we investigate the perturbed Trudinger–Moser inequalities as follows: [Formula: see text] where [Formula: see text] and [Formula: see text] is a bounded domain in [Formula: see text]. Our results demonstrate that there exists a threshold [Formula: see text] such that [Formula: see text] is att...

Lu Chen, Rou Jiang, Guo-Zhen Lu et al. · 1 citation

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