The Vishik-Lyusternik method for elliptic boundary-value problems in regions with conical points. II: The problem in a bounded region

DOI10.1007/BF00968072zbMath0502.35040MaRDI QIDQ1172750

Sergueï A. Nazarov

Publication date: 1982

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Vishik-Lyusternik methodelliptic boundary value problems in domains with conic points

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for higher-order elliptic equations (35J40) Perturbations in context of PDEs (35B20)

Related Items (5)

Asymptotics of negative eigenvalues of the Dirichlet problem with the density changing sign ⋮ Parasitic eigenvalues of spectral problems for the Laplacian with third-type boundary conditions ⋮ Acoustic waveguide with a dissipative inclusion ⋮ Numerical approximation of a singularly perturbed contact problem ⋮ On the Shapiro-Lopatinkii condition for elliptic problems

Cites Work

• [Russian Text Ignored.]
• ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE
• THE DEVELOPMENT AND APPLICATIONS OF THE ASYMPTOTIC METHOD OF LYUSTERNIK AND VISHIK
• The Behavior as $\varepsilon \to + 0$ of Solutions to $\varepsilon \nabla ^2 w = {{\partial w} / {\partial y}}$ in $| y | \leqq 1$ for Discontinuous Boundary Data
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