Multiplicity of Positive and Nodal Solutions for Nonhomogeneous Elliptic Problems in Unbounded Cylinder Domains
We show that if a(x) and f(x) satisfy some suitable conditions, then the Dirichlet problem −Δu+u=a(x)|u|p−2u+f(x) in Ω has a solution that changes sign in Ω, in addition to two positive solutions where Ω is an unbounded cylinder domai...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2009-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://dx.doi.org/10.1155/2009/687385 |