A global bifurcation result for a semilinear elliptic equation

DOI10.1016/j.jmaa.2010.03.018zbMath1193.35063OpenAlexW1986206580MaRDI QIDQ982597

Francesca Gladiali

Publication date: 7 July 2010

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.2010.03.018

zbMATH Keywords

semilinear elliptic equationsbifurcation

Mathematics Subject Classification ID

Bifurcations in context of PDEs (35B32) Semilinear elliptic equations (35J61) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (8)

Separation of branches of \(O(N-1)\)-invariant solutions for a semilinear elliptic equation ⋮ Global bifurcation for the Hénon problem ⋮ Nonradial solutions for the Hénon equation in \(\mathbb R^N\) ⋮ Quasi-radial solutions for the Lane-Emden problem in the ball ⋮ Nonradial solutions for the Hénon equation close to the threshold ⋮ Bifurcation analysis of the Hardy-Sobolev equation ⋮ A monotonicity result under symmetry and Morse index constraints in the plane ⋮ Nonradial sign changing solutions to Lane-Emden problem in 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
• Symmetry-breaking for solutions of semilinear elliptic equations with general boundary conditions
• Real analyticity and non-degeneracy
• Uniqueness of positive radial solutions for \(\Delta u-u+u^p=0\) on an annulus.
• Some global results for nonlinear eigenvalue problems
• Remarks on some quasilinear elliptic equations

This page was built for publication: A global bifurcation result for a semilinear elliptic equation