Uniqueness of positive radial solutions of Δu+f(u,|xz.sfnc;)=0

DOI10.1016/0362-546X(92)90188-KzbMath0786.35012OpenAlexW2528876301MaRDI QIDQ4695773

Eiji Yanagida

Publication date: 29 June 1993

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(92)90188-k

zbMATH Keywords

uniquenesspositive radial solutionssemilinear elliptic equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Invariance and symmetry properties for PDEs on manifolds (58J70)

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Cites Work

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• Symmetry and related properties via the maximum principle
• Structure of positive radial solutions of Matukuma's equation
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• Uniqueness of the ground state solution for \(\Delta u - u + u^3=0\) and a variational characterization of other solutions
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• Uniqueness of the ground state solutions of △u+f(u)=0 in Rⁿ, n≥3
• FURTHER STUDIES OF EMDEN'S AND SIMILAR DIFFERENTIAL EQUATIONS
• Uniqueness of solutions of nonlinear Dirichlet problems