On the moving plane method for boundary blow-up solutions to semilinear elliptic equations
We consider weak solutions to -Δu=f(u){-\Delta u=f(u)} on Ω1∖Ω0{\Omega_{1}\setminus\Omega_{0}}, with u=c≥0{u=c\geq 0} in ∂Ω1{\partial\Omega_{1}} and u=+∞{u=+\infty} on ∂Ω0{\partial\Omega_{0}}, and we prove monotonicity properties of the solutions via the moving plane method. We also prove the ra...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2018-07-01
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| Series: | Advances in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2017-0221 |