On the stability of the positive radial steady states for a semilinear Cauchy problem.

DOI10.1016/S0362-546X(03)00064-6zbMath1290.35045OpenAlexW2025762996MaRDI QIDQ1811779

Yi Liu, Yi Li, Yinbin Deng

Publication date: 17 June 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(03)00064-6

zbMATH Keywords

stabilityCauchy problemasymptotic stability

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Schrödinger operator, Schrödinger equation (35J10) Variational methods for second-order elliptic equations (35J20)

Related Items (10)

A note on the positive solutions of an inhomogeneous elliptic equation on \(\mathbb R^n\) ⋮ Asymptotic behavior of positive solutions for quasilinear elliptic equations ⋮ On the stability of the positive steady states for a nonhomogeneous semilinear Cauchy problem ⋮ On a diffusion model with absorption and production ⋮ Uniqueness of singular solution of semilinear elliptic equation ⋮ Asymptotic behavior of positive solutions of semilinear elliptic equations in \(\mathbb R^n\). II ⋮ Entire solutions of superlinear problems with indefinite weights and Hardy potentials ⋮ Asymptotic behavior of positive solutions of the Hénon equation ⋮ Asymptotic expansion of radial solutions for supercritical biharmonic equations ⋮ Cauchy problem of semilinear inhomogeneous elliptic equations of Matukuma-type with multiple growth terms

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• Uniqueness of Radial Solutions of Semilinear Elliptic Equations
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• On the Cauchy Problem for Reaction-Diffusion Equations

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