then (P 0 ) has a nontrivial solution. The same result was then obtained by Chang [8], using Morse theory on manifolds with boundary, and Lazer and Solimini [16], by a combination of min max techniques and classical Morse theory. For some article no. DE963254
✦ LIBER ✦
Nontrivial solutions for Kirchhoff type equations via Morse theory
✍ Scribed by Sun, Jijiang; Ma, Shiwang
- Book ID
- 125838800
- Publisher
- American Institute of Mathematical Sciences
- Year
- 2013
- Tongue
- English
- Weight
- 382 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1534-0392
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Nontrivial Solutions of Quasilinear Equa
✍
Jean-Noël Corvellec; Marco Degiovanni
📂
Article
📅
1997
🏛
Elsevier Science
🌐
English
⚖ 417 KB
Nontrivial solutions for semilinear diri
✍
FANG, Fei; TAN, Zhong
📂
Article
📅
2013
🏛
Elsevier Science
🌐
English
⚖ 248 KB
Nontrivial periodic solutions for delay
✍
Xiaosheng Zhang; Qiong Meng
📂
Article
📅
2011
🏛
Elsevier Science
🌐
English
⚖ 259 KB
Existence of nontrivial solutions and hi
✍
Xian Wu
📂
Article
📅
2011
🏛
Elsevier Science
🌐
English
⚖ 230 KB
Existence and multiplicity of nontrivial
✍
Nie, Jianjun
📂
Article
📅
2014
🏛
Elsevier Science
🌐
English
⚖ 327 KB
Solutions of asymptotically linear opera
✍
Kung Ching Chang
📂
Article
📅
1981
🏛
John Wiley and Sons
🌐
English
⚖ 648 KB
In a recent paper, H. Amann and E. Zehnder [ 11 studied existence problems for equations of the form (1) in a real Hilbert space H. Here A is a selfadjoint linear operator and F is a potential operator, mapping H continuously into itself. It is well known that equation ( 1) is a good framework for