Existence and Multiplicity of Positive Solutions for Dirichlet Problems in Unbounded Domains
We consider the elliptic problem −Δu+u=b(x)|u|p−2u+h(x) in Ω, u∈H01(Ω), where 2<p<(2N/(N−2)) (N≥3), 2<p<∞ (N=2), Ω is a smooth unbounded domain in ℝN, b(x)∈C(Ω), and h(x)∈H−1(Ω). We use the shape of domain Ω to prove that the above elliptic problem has a ground-state solution if the coef...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2007-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2007/18187 |
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