On the asymptotic behavior and radial symmetry of positive solutions of semilinear elliptic equations in \({\mathbb{R}{}}^ n\). I: Asymptotic behavior
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Publication:1194070
DOI10.1007/BF00387895zbMath0764.35013OpenAlexW2081116665MaRDI QIDQ1194070
Publication date: 27 September 1992
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00387895
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Cites Work
- Unnamed Item
- Unnamed Item
- Differential geometry in the large. Seminar lectures New York University 1946 and Stanford University 1956. With a preface by S. S. Chern
- A note on bounded positive entire solutions of semilinear elliptic equations
- On the existence and symmetry properties of finite total mass solutions of the Matukuma equation, the Eddington equation and their generalizations
- On conformal scalar curvature equations in \({\mathbb{R}}^ n\)
- A symmetry problem in potential theory
- Semilinear elliptic equations of Matukuma-type and related topics
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