Parallel multisplitting explicit AOR methods for numerical solutions of semilinear elliptic boundary value problems
โ Scribed by Yuan-Ming Wang
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 659 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0898-1221
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๐ SIMILAR VOLUMES
The paper addresses symmetry results for positive solutions of semilinear elliptic differential equations on a class of non-convex symmetrical domains. An example in two dimensions is the star of David. The moving plane method just shows that solutions coincide on three alternate corners of the star
We consider the boundary value problem =O, xE~(2, where f2 is a bounded region in ~" with smooth boundary Bu(x) = cth(x)u + (1 -ct)Ou/~n where c~ E [0, 1], h : ~I2 --~ ~+ with h = 1 when ~ = 1,)~ > 0,f is a smooth function such that f"(u) > 0 for u > O, f(u) < 0 for u E (0,fl) and f(u) > 0 for u > f