Anisotropic singular equation with $$(\overset{\rightarrow }{p}(\cdot ),\overset{\rightarrow }{q}(\cdot ))$$-Laplacian operator and Hardy-type potential
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Bibliographic record
Abstract
This paper studies an anisotropic singular problem driven by $$(\overset{\rightarrow }{p}(\cdot ),\overset{\rightarrow }{q}(\cdot ))$$ -Laplacian operator with the variable strong-singularity and the variable Hardy-type potential. As the main machinery, the Ekeland’s variational principle and constrained minimization are applied to obtain the existence and uniqueness of a positive solution. An application is provided to illustrate the main result.
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Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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