| Author(s) |
Du, Yihong
|
| Publication Date |
2004
|
| Abstract |
We consider the elliptic problem -Δu − λu = a(x)u^p, with p >1 and (x) sign-changing. Under suitable conditions on p and a(x), we extend the multiplicity, existence and nonexistence results known to hold for this equation on a bounded domain with standard homogeneous boundary conditions) to the case that the bounded domain is replaced by the entire space R^N. More precisely, we show that there exists ∧>0 such that this equation on R^N has no positive solution for λ>∧, at least two positive solutions for λ ∈ (0,Λ), and at least one positive solution for λ ∊ (−∞, 0] ∪ {Λ}.
|
| Citation |
Annales de l'Institut Henri Poincaré (C), Analyse Non Linéaire, 21(5), p. 657-672
|
| ISSN |
1873-1430
0294-1449
|
| Link | |
| Publisher |
Elsevier BV
|
| Title |
Multiplicity of positive solutions for an indefinite superlinear elliptic problem on R^n
|
| Type of document |
Journal Article
|
| Entity Type |
Publication
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