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The Dirichlet problem for singularly perturbed elliptic equations

โœ Scribed by Yanyan Li; Louis Nirenberg


Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
567 KB
Volume
51
Category
Article
ISSN
0010-3640

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โœฆ Synopsis


Dedicated to the memory of Fritz John

โ„ฆฮต (|โˆ‡u| 2 + u 2 ). A solution of (0.2) corresponds to a positive function u โˆˆ H 1 0 (โ„ฆ ฮต ) that is a stationary point of


๐Ÿ“œ SIMILAR VOLUMES


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We study an equivalent form of the Dirichlet problem for a quasilinear singularly perturbed second order system, which is a singular singularly perturbed boundary value problem. In this way, we have not only eliminated the usual assumption of the existence of a vector potential function, but also pr

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In this paper, we study the ''multi-layer'' phenomenon of the Dirichlet problem for a singular singularly perturbed second order vector system dz 2 rdt 2 s ลฝ . ลฝ . F z, t dzrdt q g z, t under the key assumption that the corresponding reduced system is a differential algebraic system of index 1. The