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On the Construction of Single-Peaked Solutions to a Singularly Perturbed Semilinear Dirichlet Problem

✍ Scribed by Juncheng Wei


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
502 KB
Volume
129
Category
Article
ISSN
0022-0396

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## Abstract We consider the DIRICHLET problem for linear elliptic differential equations with smooth real coefficients in a two‐dimensional domain with an angle point. We find an asymptotic representation of the solution near this point, which is stable under small variations of the angle.