Mathematics > Analysis of PDEs
arXiv:2606.15849 (math)
[Submitted on 14 Jun 2026]
Abstract:In this note, we consider several quasiliniear minimization problems involving various Hardy type potentials for functions in $W^{1,p}(\Omega)$ with weighted mean zero. We prove that the strict inequality for the infimum yields the existence of a minimizer.
Submission history
From: Futoshi Takahashi [view email]
[v1]
Sun, 14 Jun 2026 15:12:32 UTC (14 KB)
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