Inner transition layers in an elliptic boundary value problem: a necessary condition

DOI10.1016/S0362-546X(99)00276-XzbMath1180.35248MaRDI QIDQ5937339

Arnaldo Simal do Nascimento

Publication date: 12 July 2001

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

Elliptic equationsEqual-area conditionInner transition layersInterfaces

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25) Nonlinear elliptic equations (35J60)

Related Items (7)

Stable transition layers in a semilinear diffusion equation with spatial inhomogeneities in \(N\)-dimensional domains ⋮ A note on interface formation in singularly perturbed elliptic problems ⋮ The Destabilizing Effect of Unbalanced Reaction as Diffusivity Decreases on Reaction-Diffusion Equations in Boundaryless Surfaces ⋮ Layer and unlayer solutions for some singularly perturbed semilinear elliptic systems ⋮ A survey of some topics related to differential operators ⋮ On the internal transition layer to some inhomogeneous semilinear problems: interface location ⋮ Stable transition layers in an unbalanced bistable equation

Cites Work

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• Stable transition layers in a semilinear boundary value problem
• Reaction-diffusion induced stability of a spatially inhomogeneous equilibrium with boundary layer formation
• Stable stationary solutions induced by spatial inhomogeneity via ?-convergence
• Uniform convergence of a singular perturbation problem
• Boundary and Interior Spike Layer Formation for an Elliptic Equation with Symmetry

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