Positive solutions for discrete Minkowski curvature systems of the Lane-Emden type
We study the one-parameter discrete Lane-Emden systems with Minkowski curvature operator ΔΔu(k−1)1−(Δu(k−1))2+λμ(k)(p+1)up(k)vq+1(k)=0,k∈[2,n−1]Z,ΔΔv(k−1)1−(Δv(k−1))2+λμ(k)(q+1)up+1(k)vq(k)=0,k∈[2,n−1]Z,Δu(1)=u(n)=0=Δv(1)=v(n),\left\{\begin{array}{ll}\Delta \left[\frac{\Delta u\left(k-1)}{\sqrt{1-{\...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2023-07-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2022-0602 |