Bifurcation without Fréchet differentiability at the trivial solution

DOI10.1002/mma.3409zbMath1372.47071OpenAlexW2034484649MaRDI QIDQ2793946

Charles A. Stuart

Publication date: 17 March 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3409

zbMATH Keywords

bifurcationHadamard differentiabilityvariational methodnonlinear elliptic equationbound stateweak-Hadamard differentiability

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Abstract bifurcation theory involving nonlinear operators (47J15) Bifurcations in context of PDEs (35B32)

Related Items (4)

Bifurcation points of a singular boundary-value problem on \((0,1)\) ⋮ A critically degenerate elliptic Dirichlet problem, spectral theory and bifurcation ⋮ Parameterized splitting theorems and bifurcations for potential operators. I: Abstract theory ⋮ Bifurcation at isolated singular points for a degenerate elliptic eigenvalue problem

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