Elliptic Equations with Hardy Potential and Gradient-Dependent Nonlinearity
Let Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}} (N≥3{N\geq 3}) be a C2{C^{2}} bounded domain, and let δ be the distance to ∂Ω{\partial\Omega}. We study equations (E±){(E_{\pm})}, -Lμu±g(u,|∇u|)=0{-L_{\mu}u\pm g(u,\lvert\nabla u\rvert)=0} in Ω, where Lμ=Δ+μδ2{L_{\mu}=\Delta+\frac{\mu}{\delta^{2}}}, μ∈(0,14...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2020-05-01
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| Series: | Advanced Nonlinear Studies |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/ans-2020-2073 |