Robin and Neumann problems for a class of singularly perturbed semilinear elliptic equations

DOI10.1016/0022-0396(79)90017-2zbMath0387.35033OpenAlexW2069615106MaRDI QIDQ1250359

F. A. Howes

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0022-0396(79)90017-2

Mathematics Subject Classification ID

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

Related Items (2)

The singular perturbation problem for a class of generalized logistic equations under non-classical mixed boundary conditions ⋮ The Dirichlet problem for singularly perturbed quasilinear elliptic equations

Cites Work

• Semilinear elliptic boundary value problems with small parameters
• Stochastically perturbed dynamical systems
• Existence and multiplicity theorems for semi-linear elliptic boundary value problems
• Singular perturbation problems using probabilistic methods
• Asymptotic solutions of singular perturbation problems for linear differential equations of elliptic type
• The first boundary value problem for \(\epsilon\Delta u+A(x,y)u_x+B(x,y)u_y+C(x,y)u =D(x,y)\) for small \(\epsilon\)
• Singularly perturbed semilinear elliptic boundary value problems
• Asymptotic Expansions of Solutions of Quasi-Linear Elliptic Equations with Small Parameter
• The regular expansion in the neumann problems for elliptic equations
• Regular degeneration and boundary layer for linear differential equations with small parameter
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