The \(C^0\)-convergence at the Neumann boundary for Liouville equations

DOI10.1007/S00526-023-02447-0OpenAlexW4322501907MaRDI QIDQ2687351

Shuangjie Peng, Lei Liu, Jiayu Li, Yuchen Bi

Publication date: 2 March 2023

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

Full work available at URL: https://arxiv.org/abs/2207.09113

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Blow-up in context of PDEs (35B44) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

• Unnamed Item
• Asymptotic behavior of blow up solutions to a class of prescribing Gauss curvature equations
• The boundary value problem for the super-Liouville equation
• Blow-up analysis for solutions to Neumann boundary value problem
• Blowup solutions of some nonlinear elliptic equations involving exponential nonlinearities
• Classification of solutions of some nonlinear elliptic equations
• Harnack type inequality: The method of moving planes
• Uniqueness theorems through the method of moving spheres
• Liouville type equation with exponential Neumann boundary condition and with singular data
• Classification of blowup limits for \(\mathrm{SU}(3)\) singular Toda systems
• Profile of Blow-up Solutions to Mean Field Equations with Singular Data
• BLOW-UP ANALYSIS FOR SOLUTIONS OF THE LAPLACIAN EQUATION WITH EXPONENTIAL NEUMANN BOUNDARY CONDITION IN DIMENSION TWO
• Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e^uin two dimensions
• Sharp estimates for solutions of multi‐bubbles in compact Riemann surfaces

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