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We find necessary and sufficient conditions for the validity of weighted Rellich inequalities in $$L^p$$ L p , $$1\le p \le \infty $$ 1 ≤ p ≤ ∞ , for… Click to show full abstract
We find necessary and sufficient conditions for the validity of weighted Rellich inequalities in $$L^p$$ L p , $$1\le p \le \infty $$ 1 ≤ p ≤ ∞ , for functions in bounded domains vanishing at the boundary. General operators like $$L=\Delta +c\frac{x}{|x|^2}\cdot \nabla -\frac{b}{|x|^2}$$ L = Δ + c x | x | 2 · ∇ - b | x | 2 are considered. Critical cases and remainder terms are also investigated.
Keywords:
inequalities bounded;
rellich inequalities;
bounded domains
Journal Title: Mathematische Annalen
Year Published: 2019
Link to full text (if available)
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Journal Title: Mathematische Annalen
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!