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arXiv · 2602.08702

Weighted Hardy-Sobolev type inequalities with boundary terms

João Marcos do Ò·Marcelo Furtado·Everaldo Medeiros·Jesse Ratzkin
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Abstract

In this paper we establish a new class of weighted Hardy-Sobolev type inequalities under mild monotonicity assumptions on the weight function. As a consequence, we derive the corresponding weighted Sobolev and trace-type inequalities. These results play an important role in the analysis of elliptic problems with Neumann or Robin boundary conditions in unbounded domains.

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João Marcos do Ò, Marcelo Furtado, Everaldo Medeiros, Jesse Ratzkin. 2026-02-09. Weighted Hardy-Sobolev type inequalities with boundary terms. https://arxiv.org/abs/2602.08702

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