Bifurcation at isolated singular points of the Hadamard derivative

DOI10.1017/S0308210513000486zbMath1322.47060MaRDI QIDQ2935510

Charles A. Stuart

Publication date: 30 December 2014

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

nonlinear equationsHadamard derivativebifurcation from isolated singular points

Mathematics Subject Classification ID

Abstract bifurcation theory involving nonlinear operators (47J15) Bifurcations in context of PDEs (35B32)

Related Items (10)

Criteria for the existence of a potential well ⋮ Bifurcation from infinity for elliptic problems on \({\mathbb {R}}^N\) ⋮ Bifurcation points of a singular boundary-value problem on \((0,1)\) ⋮ A potential well for an integral functional with singular Lagrangian ⋮ Asymptotic bifurcation and second order elliptic equations on \(\mathbb{R}^N\) ⋮ A critically degenerate elliptic Dirichlet problem, spectral theory and bifurcation ⋮ Parameterized splitting theorems and bifurcations for potential operators. I: Abstract theory ⋮ Parameterized splitting theorems and bifurcations for potential operators. II: Applications to quasi-linear elliptic equations and systems ⋮ Bifurcation from infinity for an asymptotically linear Schrödinger equation ⋮ Bifurcation at isolated singular points for a degenerate elliptic eigenvalue problem

Cites Work

• Unnamed Item
• Asymptotic linearity and Hadamard differentiability
• Bifurcation for some non-Fréchet differentiable problems
• Some global results for nonlinear eigenvalue problems
• Homotopy, linearization, and bifurcation
• Hadamard differentiability and bifurcation
• Bifurcation in weighted Sobolev spaces

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