Classification of Solutions of a Conformally Invariant Third Order Equation in ℝ3

DOI10.1081/PDE-200040197zbMath1129.35351OpenAlexW2033625971MaRDI QIDQ4678905

Ning Zhu

Publication date: 23 May 2005

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/pde-200040197

zbMATH Keywords

symmetric solutionthird order equationconformably invariant

Mathematics Subject Classification ID

Related Items (11)

Classification of solutions to mixed order conformally invariant systems in \({\mathbb{R}}^2\) ⋮ Classification of solutions for some elliptic system ⋮ Liouville type theorems, a priori estimates and existence of solutions for sub-critical order Lane-Emden-Hardy equations ⋮ Classification of solutions for some mixed order elliptic system ⋮ Classification of solutions for mixed order conformally system with Hartree-type nonlinearity in ℝn ⋮ Classification of Solutions to Conformally Invariant Systems with Mixed Order and Exponentially Increasing or Nonlocal Nonlinearity ⋮ Classification of solutions to several semi-linear polyharmonic equations and fractional equations ⋮ Classification of Solutions to Mixed Order Elliptic System with General Nonlinearity ⋮ Classification of nonnegative classical solutions to third-order equations ⋮ Liouville type theorems, a priori estimates and existence of solutions for critical and super-critical order Hardy-Hénon type equations in \(\mathbb{R}^n\) ⋮ Classification of positive smooth solutions to third-order PDEs involving fractional Laplacians

Cites Work

• Classification of solutions of some nonlinear elliptic equations
• Estimates and extremals for zeta function determinants on four-manifolds
• The zeta functional determinants on manifolds with boundary. II: Extremal metrics and compactness of isospectral set
• A classification of solutions of a conformally invariant fourth order equation in \(\mathbb{R}^n\)
• Extremal metrics of zeta function determinants on 4-manifolds
• Uniqueness theorems through the method of moving spheres
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• Harmonic Functions from a Complex Analysis Viewpoint

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