Gradient estimates for a class of elliptic equations with logarithmic terms
Abstract We obtain the gradient estimates of the positive solutions to a nonlinear elliptic equation on an n-dimensional complete Riemannian manifold ( M , g ) $(M, g)$ Δ u + a u ( ln u ) p + b u ln u = 0 , $$ \Delta u +au(\ln{u})^{p}+bu\ln{u}=0, $$ where a ≠ 0 $a\ne 0$ , b are two constants and p =...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-03-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13661-024-01845-3 |