The steepest point of the boundary layers of singularly perturbed semilinear elliptic problems

DOI10.1090/S0002-9947-04-03468-3zbMath1115.35323MaRDI QIDQ4452277

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Publication date: 12 February 2004

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Nonlinear elliptic equations (35J60)

Related Items (5)

Boundary asymptotics for a non-neutral electrochemistry model with small Debye length ⋮ Domain-size effects on boundary layers of a nonlocal sinh-Gordon equation ⋮ 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 ⋮ Multiple stable patterns in a balanced bistable equation with heterogeneous environments

Cites Work

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• Diffusive logistic equations with indefinite weights: population models in disrupted environments
• Singularly perturbed semilinear elliptic boundary value problems
• Asymptotic Formulas for Boundary Layers and Eigencurves for Nonlinear Elliptic Eigenvalue Problems
• Stationary profiles of degenerate problems when a parameter is large

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