A note on the number of positive solutions of some nonlinear elliptic problems
โ Scribed by Cao Daomin; Li Gongbao; Zhong Xiao
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 549 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
๐ 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
We are interested in the following nonlinear elliptic equation u + u (., u) = 0 in D, where D is a smooth unbounded domain in R 2 . Under appropriate conditions on the nonlinearity (x, t), related to a certain Kato class, we give some existence results and asymptotic behavior for positive solutions
## Abstract The paper deals with the existence, multiplicity and nonexistence of positive radial solutions for the elliptic system div(|โ|^__p__ โ2^โ) + __ฮปk~i~__ (|__x__ |) __f^i^__ (__u__~1~, โฆ,__u~n~__) = 0, __p__ > 1, __R__~1~ < |__x__ | < __R__~2~, __u~i~__ (__x__) = 0, on |__x__ | = __R__~1~