Asymptotic Formulas for Boundary Layers and Eigencurves for Nonlinear Elliptic Eigenvalue Problems

DOI10.1081/PDE-120020488zbMath1106.35321MaRDI QIDQ4807599

Tetsutaro Shibata

Publication date: 19 May 2003

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Abstract bifurcation theory involving nonlinear operators (47J15)

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Boundary asymptotics for a non-neutral electrochemistry model with small Debye length ⋮ Nontrivial boundary structure in a Neumann problem on balls with radii tending to infinity ⋮ Boundary-layer profile of a singularly perturbed nonlocal semi-linear problem arising in chemotaxis ⋮ Thin layer analysis of a non-local model for the double layer structure ⋮ The steepest point of the boundary layers of singularly perturbed semilinear elliptic problems

Cites Work

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• On the global structure of the set of positive solutions of some semilinear elliptic boundary value problems
• Some global results for nonlinear eigenvalue problems
• A note on a nonlinear eigenvalue problem for a class of differential equations
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• Constrained critical points and eigenvalue approximation for semilinear elliptic operators
• Asymptotic behaviour of variational eigenvalues of the nonlinear elliptic eigenvalue problem in a ball
• On spectral asymptotics and bifurcation for elliptic operators with odd superlinear term

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