The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems
โ Scribed by Vieri Benci; Giovanna Cerami
- Book ID
- 104747198
- Publisher
- Springer
- Year
- 1991
- Tongue
- English
- Weight
- 529 KB
- Volume
- 114
- Category
- Article
- ISSN
- 0003-9527
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
In this paper, we study the effect of domain shape on the number of positive and nodal (sign-changing) solutions for a class of semilinear elliptic equations. We prove a semilinear elliptic equation in a domain โฆ that contains m disjoint large enough balls has m 2 2-nodal solutions and m positive so
## 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~