Curves of solutions through points of neutral stability

DOI10.1007/BF03322001zbMath0948.35053OpenAlexW2050838080MaRDI QIDQ1572957

Kenneth J. Brown

Publication date: 19 November 2000

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322001

zbMATH Keywords

implicit function theoremnondegeneracy conditions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Bifurcations in context of PDEs (35B32)

Related Items (2)

Further remarks on the non-degeneracy condition ⋮ A remark on the non-degeneracy condition

Cites Work

• Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems
• Uniqueness of global positive solution branches of nonlinear elliptic problems
• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• Some global results for nonlinear eigenvalue problems
• Bifurcation from simple eigenvalues
• Solution curves for semilinear equations on a ball
• Sign changing solutions for a class of superlinear multi-parameter semi-positone problems
• Exact multiplicity results for boundary value problems with nonlinearities generalising cubic
• Unnamed Item

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