Degenerate nonlinear higher-order elliptic problems in domains with fine-grained boundary
✍ Scribed by S. D’Asero; D.V. Larin
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 325 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0362-546X
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✦ Synopsis
We study the convergence of the solutions of the Dirichlet problem associated to a degenerate nonlinear higher-order elliptic equations in divergence form in variables domains, to a limit solution of the same type problem in a fixed domain, following the methods of the asymptotic expansion developed by Skrypnik [Methods for Analysis of Nonlinear Elliptic Boundary Value Problems, AMS, Providence, RI, 1994] modified to weighted higher-order case.
📜 SIMILAR VOLUMES
We give estimates of solutions of oblique derivative problems for nonlinear uniformly elliptic equations of second order with measurable coefficients in high dimensional domains, and prove the solvability of the problem.
such problems goes back to B. RIEMANN in 1851. So A. I. GUSEINOV [251, V. K. NATALEVIC [39], [40], B. I. GEKHT [24] and others (cf. the recent monograph [26] of GUSEINOV and MUKHTAROV) applied iteration methods to these problems, whereas IT, POGORZELSKI in his monograph [C2], Chap. 19, 8 5 and other