Singular ground states of semilinear elliptic equations via invariant manifold theory
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Publication:4202619
DOI10.1016/0362-546X(93)90132-CzbMath0803.35039OpenAlexW1980999378MaRDI QIDQ4202619
Xing-Bin Pan, Yingfei Yi, Russell A. Johnson
Publication date: 8 January 1995
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0362-546x(93)90132-c
radial solutionscritical Sobolev exponentsemilinear elliptic equationinvariant manifold theorysingular ground states
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Cites Work
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- On the elliptic equation \(\Delta u+Ku^{(n+2)/(n-2)}=0\) and related topics
- On conformal scalar curvature equations in \({\mathbb{R}}^ n\)
- Isolated singularities in semilinear problems
- Quasilinear Dirichlet problems driven by positive sources
- Applications of Shilnikov’s Theory to Semilinear Elliptic Equations
- Nonexistence theorems for singular solutions of quasilinear partial differential equations
- On the Infinitely Many Solutions of a Semilinear Elliptic Equation
- Emden-Fowler equations involving critical exponents
- Semilinear elliptic equations with near critical growth rates
- Global and local behavior of positive solutions of nonlinear elliptic equations
- FURTHER STUDIES OF EMDEN'S AND SIMILAR DIFFERENTIAL EQUATIONS
- On the Nature of the Spectrum of Singular Second Order Linear Differential Equations