Asymptotic behavior of bifurcation curve of nonlinear eigenvalue problem with logarithmic nonlinearity

DOI10.12775/TMNA.2021.040MaRDI QIDQ2090619

Tetsutaro Shibata

Publication date: 31 October 2022

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/topological-methods-in-nonlinear-analysis/volume-60/issue-1/Asymptotic-behavior-of-bifurcation-curve-of-nonlinear-eigenvalue-problem-with/10.12775/TMNA.2021.040.full

zbMATH Keywords

asymptotic behaviorlogarithmic nonlinearitybifurcation curve

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

• Upper and lower bounds for higher order eigenvalues of some semilinear elliptic equations
• Blow-up rates of radially symmetric large solutions
• Symmetry and related properties via the maximum principle
• Combined effects of concave and convex nonlinearities in some elliptic problems
• On the global structure of the set of positive solutions of some semilinear elliptic boundary value problems
• Asymptotic behavior and global structure of oscillatory bifurcation diagrams
• Global and local structures of oscillatory bifurcation curves
• An oscillatory bifurcation from infinity, and from zero
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