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Slow decay and the Harnack inequality for positive solutions of \(\Delta u+ u^ p =0\) in \(\mathbb{R}^ n\)

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Publication:1891574
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zbMath0849.35028MaRDI QIDQ1891574

Heng Hui Zou

Publication date: 7 November 1996

Published in: Differential and Integral Equations (Search for Journal in Brave)


zbMATH Keywords

Harnack inequalityLane-Emden equationsymmetry of positive solutionsslow decay assumptions


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60)


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Existence and non-existence of positive solutions of the scalar field system in \(\mathbb{R}^ n\). I, Unnamed Item, A unified approach to symmetry for semilinear equations associated to the Laplacian in \(\mathbb{R}^N\), Infinitely many turning points for some supercritical problems, Finite Morse index solutions of an elliptic equation with supercritical exponent, Non-existence results for semilinear cooperative elliptic systems via moving spheres, Asymptotics at infinity of solutions for \(p\)-Laplace equations in exterior domains, Symmetry of ground states for a semilinear elliptic system, Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities.



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