Blow-up analysis for solutions to Neumann boundary value problem

DOI10.1016/j.jmaa.2014.03.088zbMath1353.35139OpenAlexW2065648572MaRDI QIDQ489050

Jun Bao, Chunqin Zhou, Lihe Wang

Publication date: 27 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.03.088

zbMATH Keywords

Neumann boundary value problemblow-up behavior of solution sequencesconformal invariant equationprofile of solution sequences

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Blow-up in context of PDEs (35B44)

Related Items (9)

Conformal metrics with prescribed gaussian and geodesic curvatures ⋮ Prescribing Gaussian and geodesic curvature on disks ⋮ A double mean field equation related to a curvature prescription problem ⋮ Profile of blow-up solutions to the exponential Neumann boundary value problem ⋮ The \(C^0\)-convergence at the Neumann boundary for Liouville equations ⋮ Prescribing Gaussian curvature on surfaces with conical singularities and geodesic boundary ⋮ Energy quantization for a singular super-Liouville boundary value problem ⋮ Quantization of the blow-up value for the Liouville equation with exponential Neumann boundary condition ⋮ Liouville type equation with exponential Neumann boundary condition and with singular data

Cites Work

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• The boundary value problem for the super-Liouville equation
• Metrics of constant curvature on a Riemann surface with two corners on the boundary
• Harnack type inequality: The method of moving planes
• Uniqueness theorems through the method of moving spheres
• Profile of Blow-up Solutions to Mean Field Equations with Singular Data
• Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e^uin two dimensions
• Analytic aspects of the Toda system: I. A Moser‐Trudinger inequality
• Super-Liouville Equations on Closed Riemann Surfaces
• Analytic aspects of the Toda system: II. Bubbling behavior and existence of solutions

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