New solutions for critical Neumann problems in ℝ2
We consider the elliptic equation -Δu+u=0{-\Delta u+u=0} in a bounded, smooth domain Ω in ℝ2{\mathbb{R}^{2}} subject to the nonlinear Neumann boundary condition ∂u∂ν=λueu2{\frac{\partial u}{\partial\nu}=\lambda ue^{u^{2}}}, where ν denotes the outer normal vector of ∂Ω{\partial\Omega}. Here λ&...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2017-07-01
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| Series: | Advances in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2017-0092 |