A generalized Trudinger-Moser inequality on a compact Riemannian surface with conical singularities

DOI10.1007/s11425-017-9174-2zbMath1417.58015OpenAlexW2793675351WikidataQ115378050 ScholiaQ115378050MaRDI QIDQ2423854

Xiao Bao Zhu

Publication date: 20 June 2019

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-017-9174-2

zbMATH Keywords

conical singularityTrudinger-Moser inequalityextremal functionblow-up analysis

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) PDEs on manifolds (35R01)

Related Items (10)

Trudinger-Moser type inequalities with a symmetric conical metric and a symmetric potential ⋮ Improved Trudinger–Moser inequality involving Lp-norm on a closed Riemann surface with isometric group actions ⋮ A Weighted Singular Trudinger-Moser Inequality ⋮ Nonexistence of extremals for an inequality of Adimurthi-Druet on a closed Riemann surface ⋮ A singular Kazdan-Warner problem on a compact Riemann surface ⋮ Extremals for a Trudinger-Moser inequality with a vanishing weight in the unit disk ⋮ A Trudinger-Moser inequality with mean value zero on a compact Riemann surface with boundary ⋮ A singular Moser-Trudinger inequality for mean value zero functions in dimension two ⋮ A Trudinger-Moser inequality involving \(L^p\)-norm on a closed Riemann surface ⋮ Critical trace Trudinger-Moser inequalities on a compact Riemann surface with smooth boundary

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