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A Note on the Neumann Problem for a Quasilinear Elliptic Problem of a Nonmonotone Type

✍ Scribed by Ivan Hlaváček

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
155 KB
Volume
211
Category
Article
ISSN
0022-247X

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✦ Synopsis

The existence and uniqueness of a weak solution of a Neumann problem is discussed for a second-order quasilinear elliptic equation in a divergence form. The note is a continuation of a recent paper, where mixed boundary value problems were considered, which guaranteed the coerciveness of the problem. ᮊ 1997 Aca- demic Press

1. THE EXISTENCE OF A WEAK SOLUTION w x

Throughout the present paper, we keep the notation of the paper 1 , k Ž . k Ž . denoting also the Sobolev spaces W ⍀ by H ⍀ . We consider the 2 following boundary value problem ydiv A x, u grad u s f x, u

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