Normal conformal metrics on \(\mathbb{R}^4\) with singular \(Q\)-curvature having power-like growth
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Publication:2137831
DOI10.1016/j.jde.2022.04.018zbMath1490.35181OpenAlexW4224992241MaRDI QIDQ2137831
Jiaming Jin, Dan Wu, Dejun Tai, Linxin Shu
Publication date: 11 May 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2022.04.018
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Higher-order elliptic equations (35J30) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Cites Work
- Unnamed Item
- Existence of entire solutions to a fractional Liouville equation in \(\mathbb{R}^n\)
- The \(Q\)-curvature on a 4-dimensional Riemannian manifold \((M,g)\) with \(\int_M QdV_g = 8\pi^2\)
- Normal conformal metrics on \(\mathbb{R}^4\) with \(Q\)-curvature having power-like growth
- Classification of solutions to the higher order Liouville's equation on \({\mathbb{R}^{2m}}\)
- Concentration-compactness phenomena in the higher order Liouville's equation
- The profile of bubbling solutions of a class of fourth order geometric equations on 4-manifolds
- Classification of solutions of some nonlinear elliptic equations
- On conformal deformations of metrics on \(S^n\)
- Classification of solutions of higher order conformally invariant equations
- Rotational symmetry of solutions of some nonlinear problems in statistical mechanics and in geometry
- On uniqueness of solutions of \(n\)-th order differential equations in conformal geometry
- A classification of solutions of a conformally invariant fourth order equation in \(\mathbb{R}^n\)
- Ambient metric construction of \(Q\)-curvature in conformal and CR geometries
- A fourth order uniformization theorem on some four manifolds with large total \(Q\)-curvature
- A fully nonlinear equation on four-manifolds with positive scalar curvature.
- A note on a class of higher order conformally covariant equations
- On the best pinching constant of conformal metrics on \(\mathbb S^2\) with one and two conical singularities
- Existence and asymptotics for solutions of a non-local Q-curvature equation in dimension three
- Classification and a priori estimates for the singular prescribing \(Q\)-curvature equation on 4-manifold
- ``Bubbling of the prescribed curvature flow on the torus
- Structure of conformal metrics on \(\mathbb{R}^n\) with constant \(Q\)-curvature.
- ``Large conformal metrics of prescribed Gauss curvature on surfaces of higher genus
- Classification of solutions of certain fourth-order nonlinear elliptic equations in \(\mathbb R^4\)
- ``Large conformal metrics of prescribed \(Q\)-curvature in the negative case
- Constant \(Q\)-curvature metrics in arbitrary dimension
- Conformal metrics with constant \(Q\)-curvature
- Some progress in conformal geometry
- Compactness for conformal metrics with constant \(Q\) curvature on locally conformally flat manifolds
- \(Q\)-curvature flow on \(S^4\)
- Concentration phenomena for Liouville's equation in dimension four
- Convergence of the \(Q\)-curvature flow on \(S^{4}\)
- On a class of elliptic problems in R2: symmetry and uniqueness results
- QUANTIZATION FOR THE PRESCRIBED Q-CURVATURE EQUATION ON OPEN DOMAINS
- Prescribing Curvature on Compact Surfaces with Conical Singularities
- Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
- Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)euin two dimensions
- Asymptotic behavior of a nonlinear fourth order eigenvalue problem
- Quantization effects for a fourth-order equation of exponential growth in dimension $4$
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