Uniqueness of positive radial solutions of a semilinear elliptic equation in an annulus

DOI10.3934/dcds.2018122zbMath1408.35047OpenAlexW2795572551MaRDI QIDQ1725814

Yi Li, Hong-Bin Chen, Ruofei Yao

Publication date: 15 February 2019

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2018122

zbMATH Keywords

Dirichlet problembifurcationsemilinear equationpositive radial solution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Bifurcations in context of PDEs (35B32) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)

Related Items (4)

Asymptotic behavior of two competing cancer cell migration mechanisms driven by interstitial fluid flow ⋮ On radial positive normalized solutions of the nonlinear Schrödinger equation in an annulus ⋮ Uniqueness of positive radial solutions for elliptic equations in an annulus ⋮ A Pohožaev type identity and its application to uniqueness of positive radial solutions of Brezis-Nirenberg problem on an annulus

Cites Work

• Unnamed Item
• Unnamed Item
• Bifurcation and symmetry breaking for a class of semilinear elliptic equations in an annulus
• Uniqueness of radially symmetric positive solutions for \(- \Delta u+u=u^p\) in an annulus
• Uniqueness of positive radial solutions of \(\Delta u+f(u)=0\) in \(\mathbb R^N\), \(N \geq 2\)
• A nonlinear boundary value problem with many positive solutions
• Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
• Symmetry and related properties via the maximum principle
• Exact multiplicity of positive solutions for a class of semilinear problems
• Uniqueness of positive radial solutions of the Dirichlet problems \(-\Delta u=u^ p\pm u^ q\) in an annulus
• Symmetry results for perturbed problems and related questions
• Existence of many positive solutions of semilinear equations on 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 \(\Delta u - u + u^ 3 = 0\)
• Bifurcation from simple eigenvalues
• Uniqueness and nonuniqueness for positive radial solutions of Δu + f(u, r) = 0
• A priori bounds for positive solutions of nonlinear elliptic equations
• Uniqueness of Radial Solutions of Semilinear Elliptic Equations
• Uniqueness Of Positive Solutions Of In A Ball
• Uniqueness of positive radial solutions of semilinear elliptic equations in R^Nand séré's non—degeneracy condition
• Variational Methods
• Uniqueness of solutions of nonlinear Dirichlet problems

This page was built for publication: Uniqueness of positive radial solutions of a semilinear elliptic equation in an annulus