Analytic imperfect bifurcation theorem and the Liouville-Gel’fand equation on a perturbed annular domain
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Publication:2852450
DOI10.1002/mana.201100213zbMath1408.35053OpenAlexW1688315424MaRDI QIDQ2852450
Publication date: 8 October 2013
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.201100213
Boundary value problems for second-order elliptic equations (35J25) Second-order elliptic equations (35J15) Bifurcations of singular points in dynamical systems (37G10) Bifurcations in context of PDEs (35B32) Semilinear elliptic equations (35J61) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Cites Work
- Imperfect bifurcations in nonlinear elliptic equations on spherical caps
- Singularities and groups in bifurcation theory. Volume I
- Stable transition layers in a semilinear boundary value problem
- Global analysis for a two-dimensional elliptic eigenvalue problem with the exponential nonlinearity
- On non-radially symmetric bifurcation in the annulus
- Spectral and related properties about the Emden-Fowler equation \(-\Delta u=\lambda e^ u\) on circular domains
- Persistence and bifurcation of degenerate solutions
- Imperfect transcritical and pitchfork bifurcations
- Bifurcation from simple eigenvalues
- Radial and nonradial solutions for the nonlinear eigenvalue problem \(\Delta u+\lambda e^ u=0\) on annuli in \({\mathbb{R}}^ 2\)
- A bifurcation problem for a nonlinear partial differential equation of parabolic type†
- Some problems in the theory of quasilinear equations
- Imperfect bifurcations arising from elliptic boundary value problems
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