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Some nonlinear elliptic equations from geometry (Q5460751)

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scientific article; zbMATH DE number 2187576

Language	Label	Description	Also known as
English	Some nonlinear elliptic equations from geometry	scientific article; zbMATH DE number 2187576

Statements

scholarly article

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Some nonlinear elliptic equations from geometry (English)

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Proceedings of the National Academy of Sciences

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publication date

19 July 2005

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1073/pnas.222494999

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A necessary and sufficient condition for the nirenberg problem

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Conformal metrics with prescribed scalar curvature

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An ODE approach to the equation \(\Delta u + Ku^{{n+2}\over{n-2}}=0\) in \(\mathbb{R}^ n\)

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Non-existence and symmetry of solutions to the scalar curvature equation

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Scalar curvatures on \(S^ n\)

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Prescribing Gaussian curvature on S 2

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The scalar-curvature problem on the standard three-dimensional sphere

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The scalar curvature equation on 2- and 3-spheres

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Prescribed scalar curvature on the \(n\)-sphere

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A perturbation result in prescribing scalar curvature on \(S^ n\)

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Prescribing scalar curvature on \(\mathbb{S}^ n\) and related problems. I

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An invariant for Yamabe-type flows with applications to scalar-curvature problems in high dimension

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Algebraic topology methods for the prescribed scalar curvature problem

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Perturbation of \(\Delta u+u^{(N+2)/(N-2)}=0\), the scalar curvature problem in \(\mathbb{R}^N\), and related topics

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Estimates of the conformal scalar curvature equation via the method of moving planes

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A priori estimates for prescribing scalar curvature equations

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Liouville theorems on some indefinite equations

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The Yamabe problem

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The Yamabe problem on manifolds with boundary: Existence and compactness results

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The existence of conformal metrics with constant scalar curvature and constant boundary mean curvature

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Uniqueness theorems through the method of moving spheres

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Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth

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Symmetry and related properties via the maximum principle

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Uniqueness theorems on conformal deformation of metrics, sobolev inequalities, and an eigenvalue estimate

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On the proof of the positive mass conjecture in general relativity

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Conformally flat manifolds, Kleinian groups and scalar curvature

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On the best Sobolev inequality

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Best constant in Sobolev inequality

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Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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Sobolev inequalities with remainder terms

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Some remarks on Sobolev type inequalities

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The best constant problem in the Sobolev embedding theorem for complete Riemannian manifolds

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Sharp Sobolev inequalities involving boundary terms

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Some general forms of sharp Sobolev inequalities

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Sharp Sobolev inequalities with interior norms

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Optimal Sobolev inequalities of arbitrary order on compact Riemannian manifolds

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Best constants in Sobolev inequalities for compact manifolds of nonpositive curvature

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The best constants problem in Sobolev inequalities

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1073/PNAS.222494999

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Sitelinks

Mathematics(1 entry)

mardi Publication:5460751

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