Asymptotic behavior and monotonicity of radial eigenvalues for the p-Laplacian
Ryuji Kajikiya, Mieko Tanaka, Satoshi Tanaka · Journal of Differential Equations · 2024
We study the radial eigenvalues of the p-Laplacian in a domain Ω with the Dirichlet boundary condition, where Ω is a ball or an annulus. For the k-th eigenvalue λk(p,Ω), we study the asymptotic behavior of λk(p,Ω) as p→1+0 or p→∞, and prove the monotonicity and non-monotonicity of λk(p,Ω) with respect to p.