Abstract
In this paper, we study the regularizing effects of a singular first-order term in some degenerate elliptic equations with zero-order term involving Hardy potential. The model problem is
where \(\Omega \) is a bounded open subset in \({\mathbb {R}}^{N}\) with \(0\in \Omega \), \(\gamma \ge 0\), \(1<p<N\), \(0<\theta <1\), and \(0<r<p-\theta \). We prove existence and regularity results for solutions under various hypotheses on the datum f.
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This research is supported by DGRSDT, Algeria.
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Communicated by Julio Rossi.
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Ayadi, H., Souilah, R. The impact of a singular first-order term in some degenerate elliptic equations involving Hardy potential. Adv. Oper. Theory 9, 25 (2024). https://doi.org/10.1007/s43036-024-00324-x
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DOI: https://doi.org/10.1007/s43036-024-00324-x