Asymptotic behavior of solutions to $\Delta u+Ku^ \sigma =0$ on $\textbf {R}^ n$ for $n\geq 3$
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- by Jeanne Trubek
- Proc. Amer. Math. Soc. 106 (1989), 953-959
- DOI: https://doi.org/10.1090/S0002-9939-1989-0987615-2
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Abstract:
The equation $\Delta u + K{u^\sigma } = 0$ is considered in ${R^n}$ for $n \geq 3,K$ a Hรถlder continuous function and $\sigma$ a positive constant. If $K = O({\left | x \right |^{ - l}})$ for $l > 2$, we determine the asymptotic behavior of bounded solutions. In the case $K$ is nonpositive and $\sigma$ is greater than one, we show that the first term in the asymptotic description may be chosen arbitrarily.References
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Bibliographic Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 106 (1989), 953-959
- MSC: Primary 35B40; Secondary 35J60
- DOI: https://doi.org/10.1090/S0002-9939-1989-0987615-2
- MathSciNet review: 987615