Expansions for distributional solutions of the elliptic equation in two dimensions

DOI10.1142/S0219199721500188zbMath1498.35183OpenAlexW3126818871MaRDI QIDQ5102381

FangShu Wan, Jiayu Li, Yun Yan Yang

Publication date: 6 September 2022

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199721500188

zbMATH Keywords

semilinear equation with Laplacianasymptotic expansion of solutions

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

• Unnamed Item
• Blow-up analysis concerning singular Trudinger-Moser inequalities in dimension two
• Asymptotic behavior of solutions to the \(\sigma_{k}\)-Yamabe equation near isolated singularities
• Extremal functions for the singular Moser-Trudinger inequality in 2 dimensions
• Finite Morse index solutions of weighted elliptic equations and the critical exponents
• Nonlinear elliptic equations on compact Riemannian manifolds and asymptotics of Emden equations
• Refined asymptotics for constant scalar curvature metrics with isolated singularities
• Asymptotic radial symmetry for solutions of \(\Delta u+e^ u=0\) in a punctured disc
• Constant scalar curvature metrics with isolated singularities
• Asymptotic expansions for singular solutions of \(\Delta u+e^u=0\) in a punctured disc
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Moduli Spaces of Singular Yamabe Metrics
• Asymptotic symmetry and local behaviors of solutions to a class of anisotropic elliptic equations
• Asymptotic Expansions of Solutions of the Yamabe Equation and the σ_k‐Yamabe Equation near Isolated Singular Points
• Asymptotic behavior at the isolated singularities of solutions of some equations on singular manifolds with conical metrics

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