Large conformal metrics with prescribed Gaussian and geodesic curvatures

DOI10.1007/s00526-020-01872-9zbMath1459.35208arXiv2006.12900OpenAlexW3125087404WikidataQ115386949 ScholiaQ115386949MaRDI QIDQ2226026

Angela Pistoia, Luca Battaglia, María Medina

Publication date: 11 February 2021

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.12900

zbMATH Keywords

conformal metricsprescribed curvatureconcentration phenomenaLjapunov-Schmidt construction

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Blow-up in context of PDEs (35B44) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (7)

Concentration solutions to the singularly prescribed Gaussian and geodesic curvatures problem ⋮ Conformal metrics with prescribed scalar and mean curvature ⋮ Nonuniqueness for the Nonlocal Liouville Equation in \(\mathbb{R}\) and Applications ⋮ A blow-up phenomenon for a non-local Liouville-type equation ⋮ MFO-RIMS tandem workshop: Nonlocality in analysis, probability and statistics. Abstracts from the MFO-RIMS tandem workshop held March 20--26, 2022 ⋮ Perturbative techniques in conformal geometry ⋮ Prescribing Gaussian curvature on surfaces with conical singularities and geodesic boundary

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