Quasi-concavity for semilinear elliptic equations with non-monotone and anisotropic nonlinearities
A boundary-value problem for a semilinear elliptic equation in a convex ring is considered. Under suitable structural conditions, any classical solution u lying between its (constant) boundary values is shown to decrease along each ray starting from the origin, and to have convex level surfaces.
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| Format: | Article |
| Language: | English |
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SpringerOpen
2006-02-01
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| Series: | Boundary Value Problems |
| Online Access: | http://dx.doi.org/10.1155/BVP/2006/80347 |