In this paper, we study the existence of positive solutions to nonlinear elliptic boundary value problems on unbounded domains ! ⊂ R n with cylindrical ends for a general nonlinear term f(u) including f(u) = u p + ; 1 ¡ p ¡ (n + 2)=(n -2)(n ¿ 3); + ∞ (n = 2) as a typical example: by using the mount
✦ LIBER ✦
Existence of bounded solutions for nonlinear elliptic equations in unbounded domains
✍ Scribed by A. Dall’aglio; V. De Cicco; D. Giachetti; J. -P. Puel
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2004
- Tongue
- English
- Weight
- 229 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1021-9722
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Existence of positive solutions for some
✍
Kazuhiro Kurata; Masataka Shibata; Kazuo Tada
📂
Article
📅
2003
🏛
Elsevier Science
🌐
English
⚖ 206 KB
Existence for bounded positive solutions
✍
Jiqin Deng
📂
Article
📅
2008
🏛
Elsevier Science
🌐
English
⚖ 249 KB
Existence of positive solutions for -Lap
✍
Wulong Liu; Peihao Zhao
📂
Article
📅
2008
🏛
Elsevier Science
🌐
English
⚖ 341 KB
In this paper, we study the existence of positive solutions for p(x)-Laplacian equations in unbounded domains. The existence is affected by the properties of the geometry and the topology of the domain.
Uniqueness of bounded solutions of nonli
✍
Wioletta Karpińska
📂
Article
📅
2001
🏛
Elsevier Science
🌐
English
⚖ 242 KB
Multiple solutions for an elliptic syste
✍
C.O. Alves; D.C. de Morais Filho; O.H. Miyagaki
📂
Article
📅
2004
🏛
Elsevier Science
🌐
English
⚖ 244 KB
On the existence of positive solutions f
✍
Syrine Masmoudi
📂
Article
📅
2005
🏛
Elsevier Science
🌐
English
⚖ 238 KB
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