Project supported by the fund of Academia Sinica.
On a singular elliptic boundary value problem in a ball
โ Scribed by Hiroyuki Usami
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 463 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
Strong solvability in the Sobolev space W 2 p is proved for the oblique derivative problem almost everywhere in โu/โ + ฯ x u = ฯ x in the trace sense on โ in the case when the vector field x has a contact of infinite order with โ at the points of some non-empty subset E โ โ .
We study the second-order boundary value problem where a(t) = [I~=L ai (t) and a,/3,-)% 6 \_> 0, a'~ ~-a5 รท fi~/> 0. We assume that each ai (t) E L p~: [0, 1] for Pi ~ 1 and that each a~(t) has a singularity in (0, 1). To show the existence of countably many positive solutions, we apply HSlder's in