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
โฆ LIBER โฆ
On a Subharmonic Functional of Some Even Order Elliptic Problems
โ Scribed by Shiojenn Tseng; Ching-Shou Lin
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 282 KB
- Volume
- 207
- Category
- Article
- ISSN
- 0022-247X
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โฆ Synopsis
A procedure for finding a subharmonic functional of a solution for the problem n ลฝ . i i Lu s ร y1 c โฌ u s 0 in the domain E, which is either in a plane or on a line,
The functional obtained is used to derive the maximum principles and uniqueness theorems for some higher order elliptic problems. The procedure proposed is also applicable to nonlinear differential equations.
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