An inequality of Bessel functions and applications to transcritical bifurcation problems of nonlinear elliptic equations

DOI10.1016/j.jde.2022.09.027OpenAlexW4300970778MaRDI QIDQ2109379

Shiyi Ye, Hongjing Pan

Publication date: 21 December 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2022.09.027

zbMATH Keywords

Robin boundary conditionseigenvalues and eigenfunctionsnodal radial solutionsprescribed mean curvature equationspositivity and monotonicityoscillatory Bessel functions

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Bifurcations in context of PDEs (35B32) Quasilinear elliptic equations with mean curvature operator (35J93)

Uses Software

• DLMF

Cites Work

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• Multiple radial positive solutions of semilinear elliptic problems with Neumann boundary conditions
• Global branches of non-radially symmetric solutions to a semilinear Neumann problem in a disk
• Bifurcation results for a class of prescribed mean curvature equations in bounded domains
• Persistence and bifurcation of degenerate solutions
• Qualitative analysis of a curvature equation modelling MEMS with vertical loads
• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• On the Neumann Problem for Some Semilinear Elliptic Equations and Systems of Activator-Inhibitor Type
• Local bifurcation from the second eigenvalue of the Laplacian in a square
• Semilinear Neumann boundary value problems on a rectangle
• 4 The Robin problem

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