Multiple Solutions of Semilinear Dirichlet Problems on a Domain withS1-Group Actions
β Scribed by N. Hirano
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 195 KB
- Volume
- 218
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
Let β be a bounded domain with a smooth boundary such that there exists an S 1 group of isometric linear transformations on β. In the present paper, we consider the multiple existence of solutions of the problem
where g g C R and h g L β .
π SIMILAR VOLUMES
We discuss the existence of multiple solutions of nonlinear elliptic equations by a combination of variational, topological methods and the generalized Conley index theory. We obtain several positive solutions and sign-changing solutions. Our main point is to show the usefulness of the Morse inequal
## Abstract An extension of the FETIβH method is designed for the solution of acoustic scattering problems with multiple rightβhand sides. A new local preβconditioning of this domain decomposition method is also presented. The potential of the resulting iterative solver is demonstrated by numerical