Weak convergence, local bifurcations and uniqueness theorems

DOI10.4171/RLM/467zbMath1113.35065MaRDI QIDQ996936

E. Norman Dancer

Publication date: 19 July 2007

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

zbMATH Keywords

Nonlinear elliptic equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Abstract bifurcation theory involving nonlinear operators (47J15) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Cites Work

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• Nodal sets for solutions of elliptic equations
• Some results for jumping nonlinearities.
• About uniqueness for nonlinear boundary value problems
• A uniqueness theorem for some nonlinear boundary value problem with a large parameter
• Partial regularity of the zero-set of solutions of linear and superlinear elliptic equations
• Asymptotic behavior of positive solution branches of elliptic problems with linear part at resonance
• Uniqueness of periodic solutions for asymptotically linear Duffing equations with strong forcing
• Infinite dimensional Morse theory and multiple solution problems
• Multiple solutions of asymptotically homogeneous problems
• Dirichlet problems on varying domains.
• A nonsymmetric asymptotically linear elliptic problem
• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• Some global results for nonlinear eigenvalue problems
• Bifurcation from simple eigenvalues
• Some aspects of nonlinear eigenvalue problems
• Uniqueness of positive solutions for a class of elliptic boundary value problems
• On the Number of Positive Solutions of Weakly Non-Linear Elliptic Equations when a Parameter is Large
• Corrigendum: On the Dirichlet problem for weakly non-linear elliptic partial differential equations
• A NOTE ON BIFURCATION FROM INFINITY
• ASYMPTOTIC LINEARITY AND NONLINEAR EIGENVALUE PROBLEMS

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