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On a Subharmonic Functional of Some Even Order Elliptic Problems

โœ 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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โœฆ Synopsis


A procedure for finding a subharmonic functional of a solution for the problem n ลฝ . i i Lu s ร y1 c โŒฌ 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.


๐Ÿ“œ SIMILAR VOLUMES


A Note on Multiple Solutions of Some Sem
โœ E.N. Dancer; Yihong Du ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 228 KB

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