The nonlocal Liouville-type equation in \(\mathbb {R}\) and conformal immersions of the disk with boundary singularities

DOI10.1007/s00526-017-1245-2zbMath1377.35064arXiv1607.03525OpenAlexW2964302502MaRDI QIDQ1674640

Luca Martinazzi, Francesca Da Lio

Publication date: 25 October 2017

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

Full work available at URL: https://arxiv.org/abs/1607.03525

zbMATH Keywords

half Laplacianfractional Liouville equation in dimension 1

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fractional partial differential equations (35R11)

Related Items

Sign-changing solutions for the one-dimensional non-local sinh-Poisson equation, Local and Nonlocal Singular Liouville Equations in Euclidean Spaces, Nonuniqueness for the Nonlocal Liouville Equation in \(\mathbb{R}\) and Applications, Large blow-up sets for the prescribed Q-curvature equation in the Euclidean space, Singular metrics of constant negative \(Q\)-curvature in Euclidean spaces, Nonradial singular metrics of constant \(Q\)-curvature, Existence and compactness of conformal metrics on the plane with unbounded and sign-changing Gaussian curvature, The nonlocal mean-field equation on an interval, Concentration phenomena for the fractional Q‐curvature equation in dimension 3 and fractional Poisson formulas, Uniqueness for the nonlocal Liouville equation in \(\mathbb{R}\), Constant 𝑄-curvature metrics with a singularity

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