A Singular Boundary Value Problem for the One-Dimensionalp-Laplacian
β Scribed by Junyu Wang; Wenjie Gao
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 164 KB
- Volume
- 201
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
The singularity may appear at u s 0 and at t s 0 or t s 1 and the function f may be discontinuous. The authors prove that for any p ) 1 and for any positive, nonincreasing function f and nonnegative measurable function k with some integrability conditions, the abovementioned problem has a unique solution. Also, the properties of the solution are discussed in the paper.
π SIMILAR VOLUMES
Strong solvability in the Sobolev space W 2 p is proved for the oblique derivative problem almost everywhere in βu/β + Ο x u = Ο x in the trace sense on β in the case when the vector field x has a contact of infinite order with β at the points of some non-empty subset E β β .