Prescribed blow-up sets for sequences of solutions to a non-local \(Q\)-curvature equation in \(\mathbb{R}^3\)
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Publication:6492423
DOI10.1142/S0219199723500335MaRDI QIDQ6492423
Publication date: 25 April 2024
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Pseudodifferential operators as generalizations of partial differential operators (35S05) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11) Conformal structures on manifolds (53C18)
Cites Work
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- Existence of entire solutions to a fractional Liouville equation in \(\mathbb{R}^n\)
- Conformal metrics on \(\mathbb{R}^{2m}\) with constant \(Q\)-curvature, prescribed volume and asymptotic behavior
- Blow-up analysis of a nonlocal Liouville-type equation
- Conformally Euclidean metrics on \(\mathbb{R}^n\) with arbitrary total Q-curvature
- Fractional Laplacian in conformal geometry
- Concentration phenomena for a fourth-order equation with exponential growth: the radial case
- A quartic conformally covariant differential operator for arbitrary pseudo-Riemannian manifolds (Summary)
- Concentration-compactness phenomena in the higher order Liouville's equation
- Elliptic partial differential equations of second order
- The nonlocal Liouville-type equation in \(\mathbb {R}\) and conformal immersions of the disk with boundary singularities
- Uniqueness and non-existence theorems for conformally invariant equations
- A note on a class of higher order conformally covariant equations
- Existence and asymptotics for solutions of a non-local Q-curvature equation in dimension three
- Conformal metrics on \(\mathbb R^{2m}\) with constant \(Q\)-curvature and large volume
- Constant \(Q\)-curvature metrics in arbitrary dimension
- Concentration phenomena for Liouville's equation in dimension four
- QUANTIZATION FOR THE PRESCRIBED Q-CURVATURE EQUATION ON OPEN DOMAINS
- Conformally Invariant Powers of the Laplacian, I: Existence
- Asymptotic behavior of a fourth order mean field equation with Dirichlet boundary condition
- Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)euin two dimensions
- Large blow-up sets for the prescribed Q-curvature equation in the Euclidean space
- Asymptotic behavior of a nonlinear fourth order eigenvalue problem
- Concentration phenomena for the fractional Q‐curvature equation in dimension 3 and fractional Poisson formulas
- Local and Nonlocal Singular Liouville Equations in Euclidean Spaces
- Gluing metrics with prescribed $Q$-curvature and different asymptotic behaviour in high dimension
- An Extension Problem Related to the Fractional Laplacian
- Quantization effects for a fourth-order equation of exponential growth in dimension $4$
- Compactness of solutions to some geometric fourth-order equations
- Bubbling phenomena for fourth-order four-dimensional PDEs with exponential growth
- Constant 𝑄-curvature metrics with a singularity
- Conformal metrics in \(\mathbb {R}^{2m}\) with constant \(Q\)-curvature and arbitrary volume
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