Uniqueness of positive radial solutions for Dirichlet problems on annular domains

DOI10.1016/J.JMAA.2007.05.027zbMath1132.35376OpenAlexW2083973448MaRDI QIDQ2473893

Jiangang Cheng, Luo Guang

Publication date: 5 March 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.05.027

zbMATH Keywords

uniquenessDirichlet boundary conditionannular domainelliptic equationspositive radial solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60)

Related Items (4)

Uniqueness of positive radial solutions of superlinear elliptic equations in annuli ⋮ A generalized Pohožaev identity and uniqueness of positive radial solutions of \(\Delta u+g(r)u+h(r)u^p=0\) ⋮ The three-solutions theorem for \(p\)-Laplacian boundary value problems ⋮ On the uniqueness of solutions of a semilinear equation in an annulus

Cites Work

• Unnamed Item
• Existence of positive radial solutions for semilinear elliptic equations in the annulus
• Uniqueness of positive radial solutions of the Dirichlet problems \(-\Delta u=u^ p\pm u^ q\) in an annulus
• Uniqueness of positive radial solutions for \(\Delta u-u+u^p=0\) on an annulus.
• Uniqueness of the positive radial solution on an annulus of the Dirichlet problem for \(\Delta u - u + u^ 3 = 0\)
• Uniqueness results for the one-dimensional \(p\)-Laplacian
• Uniqueness of positive radial solutions of a semilinear Dirichlet problem in an annulus
• Uniqueness of positive radial solutions for semilinear elliptic equations on annular domains

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