A global branch of positive solutions above the continuous spectrum for problems with indefinite nonlinearities

DOI10.1017/S0308210500022861zbMath0855.34015OpenAlexW1993825528MaRDI QIDQ4885628

Achilles Tertikas, Tassilo Kuepper

Publication date: 3 February 1997

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

Full work available at URL: https://doi.org/10.1017/s0308210500022861

zbMATH Keywords

boundary value problemshooting procedurebifurcations from infinity

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Bifurcation theory for ordinary differential equations (34C23) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (1)

Critical phenomena in linear elliptic problems

Cites Work

• On the existence of positive eigenfunctions for an eigenvalue problem with indefinite weight function
• Bifurcation for variational problems when the linearisation has no eigenvalues
• Existence of solutions for semilinear elliptic equations with indefinite linear part
• Existence and bifurcation of solutions for nonlinear perturbations of the periodic Schrödinger equation
• Existence and bifurcation theorems for nonlinear elliptic eigenvalue problems of unbounded domains
• Bifurcation from simple eigenvalues
• A priori bounds for positive solutions of nonlinear elliptic equations
• Does bifurcation from the essential spectrum occur?
• On the Bifurcation of Radially Symmetric Steady-State Solutions Arising in Population Genetics
• The existence of principal eigenvalues for problems with indefinite weight function on ℝ^k
• On the Bifurcation Structure of Nonlinear Perturbations of Hill’s Equations at Boundary Points of the Continuous Spectrum

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