Global bifurcation of sign-changing radial solutions of elliptic equations of order \(2m\) in annular domains
DOI10.3934/math.2020313zbMath1484.35180OpenAlexW3033779620MaRDI QIDQ2129857
Liping Wei, Dongliang Yan, Ru Yun Ma
Publication date: 25 April 2022
Published in: AIMS Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/math.2020313
Boundary value problems for higher-order elliptic equations (35J40) Green's functions for ordinary differential equations (34B27) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Bifurcations in context of PDEs (35B32) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Axially symmetric solutions to PDEs (35B07)
Cites Work
- Unnamed Item
- Positive solutions of fourth order problems with clamped beam boundary conditions
- Positive and negative solutions of one-dimensional beam equation
- Existence and uniqueness results for semilinear Dirichlet problems in annuli
- Positive solutions of semilinear differential equations with singularities
- On the existence of positive solutions for semilinear elliptic equations in the annulus
- Multiple positive solutions of some boundary value problems
- Nodal solutions for nonlinear eigenvalue problems
- Global bifurcation for 2\(m\)th-order boundary value problems and infinitely many solutions of superlinear problems
- Some global results for nonlinear eigenvalue problems
- Existence and Multiplicity of Positive Radial Solutions for Semilinear Elliptic Equations in Annular Domains
- On the Existence of Positive Solutions of Ordinary Differential Equations
- Elliptic Equations of Order 2m in Annular Domains
- Spectrum of a linear fourth‐order differential operator and its applications
- Eigenvalue problems for the equation \(Ly+\lambda p(x)y=0\)
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