Uniqueness of positive solutions to a class of semilinear elliptic equations

DOI10.1186/1687-2770-2011-38zbMath1278.35099OpenAlexW2105598453WikidataQ59268052 ScholiaQ59268052MaRDI QIDQ362362

Chunming Li, Yong Zhou

Publication date: 21 August 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2011-38

zbMATH Keywords

uniquenesspositive solutionsemilinear elliptic equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)

Related Items (1)

Uniqueness of positive radial solutions of superlinear elliptic equations in annuli

Cites Work

• Uniqueness and exact multiplicity of solutions for a class of Dirichlet problems
• Uniqueness of radially symmetric positive solutions for \(- \Delta u+u=u^p\) in an annulus
• Uniqueness of positive radial solutions for \(\Delta u-u+u^p=0\) on an annulus.
• Existence and uniqueness of nonnegative solutions of quasilinear equations in \(\mathbb{R}^ n\)
• Uniqueness of the positive radial solution on an annulus of the Dirichlet problem for \(\Delta u - u + u^ 3 = 0\)
• Uniqueness of positive solutions of a class of O.D.E. with Robin boundary conditions
• Uniqueness and nonuniqueness for positive radial solutions of Δu + f(u, r) = 0

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