Bifurcation for some non-Fréchet differentiable problems

DOI10.1016/j.na.2008.02.065zbMath1157.47045OpenAlexW2018134673MaRDI QIDQ943728

Charles A. Stuart

Publication date: 10 September 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.02.065

zbMATH Keywords

bifurcationessential spectrumHadamard differentiable operator

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) NLS equations (nonlinear Schrödinger equations) (35Q55) Applications of operator theory to differential and integral equations (47N20) Abstract bifurcation theory involving nonlinear operators (47J15) Bifurcations in context of PDEs (35B32)

Related Items (9)

Existence and nonexistence of the ground state solutions for nonlinear Schrödinger equations with nonperiodic nonlinearities ⋮ Bifurcation at isolated singular points of the Hadamard derivative ⋮ Ground states for \(K\)-component coupled nonlinear Schrödinger equations with two types of strongly indefinite structure ⋮ Asymptotic bifurcation and second order elliptic equations on \(\mathbb{R}^N\) ⋮ Asymptotic linearity and Hadamard differentiability ⋮ New conditions on nonlinearity for a periodic Schrödinger equation having zero as spectrum ⋮ Bifurcation without Fréchet differentiability at the trivial solution ⋮ A semilinear Schrödinger equation with zero on the boundary of the spectrum and exponential growth in ℝ2 ⋮ Bifurcation at Isolated Eigenvalues for Some Elliptic Equations on ℝ N

Cites Work

• Spectrum of a Self-Adjoint Operator and Palais-Smale Conditions
• Hadamard differentiability and bifurcation
• Unnamed Item

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