Asymptotic behavior of positive solutions of the equation complete riemannian manifold and positive scalar curvature
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Publication:4242978
DOI10.1080/03605309908821430zbMath0939.58024OpenAlexW2065777047MaRDI QIDQ4242978
Publication date: 2 July 2000
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605309908821430
Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
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Cites Work
- Unnamed Item
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- On the existence and symmetry properties of finite total mass solutions of the Matukuma equation, the Eddington equation and their generalizations
- Uniqueness of positive solutions of semilinear equations in \(R^ n\).
- On the elliptic equation \(\Delta u+Ku^{(n+2)/(n-2)}=0\) and related topics
- Conformally flat manifolds, Kleinian groups and scalar curvature
- On conformal scalar curvature equations in \({\mathbb{R}}^ n\)
- Symmetry and related properties via the maximum principle
- Classification of solutions of some nonlinear elliptic equations
- Asymptotic behavior of positive solutions of equation \(\Delta{} u+K(x)u^ p=0\) in \(\mathbb{R}{}^ n\)
- Asymptotic results for finite energy solutions of semilinear elliptic equations
- On the asymptotic behavior and radial symmetry of positive solutions of semilinear elliptic equations in \({\mathbb{R}{}}^ n\). I: Asymptotic behavior
- On the asymptotic behavior and radial symmetry of positive solutions of semilinear elliptic equations in \({\mathbb{R}{}}^ n\). II: Radial symmetry
- An ODE approach to the equation \(\Delta u + Ku^{{n+2}\over{n-2}}=0\) in \(\mathbb{R}^ n\)
- A variational approach to the equation \({\triangle}u+Ku^{{n+2}/{n- 2}}=0\) in \(\mathbb{R}^ n\)
- Existence of positive radial solutions to \(\Delta u+K(| x| )u^ p=0\) in \(\mathbb R^ n\)
- Elliptic partial differential equations of second order
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
- Global and local behavior of positive solutions of nonlinear elliptic equations
- On –δu = K(x)u5 in ℝ3
- Conformal scalar curvature equations on complete manifolds
- Moduli Spaces of Singular Yamabe Metrics
- On harnack type inequalities and their application to quasilinear elliptic equations
