Perturbed quasilinear dirichlet problems with isolated turning poInts

DOI10.1080/03605308708820489zbMath0628.35039OpenAlexW2008015972MaRDI QIDQ3764552

Albert James DeSanti

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/03605308708820489

zbMATH Keywords

asymptotic behaviourturning pointspike layersingularly perturbed Dirichlet problemupper and lower barrier functions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (4)

Asymptotic analysis for singularly perturbed convection-diffusion equations with a turning point ⋮ Enriched spectral method for stiff convection-dominated equations ⋮ Singularly perturbed problems with a turning point: The non-compatible case ⋮ Recent progresses in boundary layer theory

Cites Work

• The Dirichlet problem for singularly perturbed quasilinear elliptic equations
• Singular perturbations in elliptic boundary value problems
• Existence and multiplicity theorems for semi-linear elliptic boundary value problems
• Asymptotic solutions of singular perturbation problems for linear differential equations of elliptic type
• A uniform asymptotic expansion of the solution of a linear elliptic singular perturbation problem
• Perturbed elliptic problems with essential nonlinearities
• Singularly perturbed semilinear elliptic boundary value problems
• A Qualitative Model for Dynamic Combustion

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