Institut Fourier

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math.AP2026

On existence of minimizers for weighted $L^{p}$ -Hardy inequalities on $C^{1, I^^{3}}$ -domains with compact boundary

Ujjal Das, Yehuda Pinchover, Baptiste Devyver

Let $p \in (1, \infty)$ , $I^\pm \in R$ , and $I^c ◯ ⊊ R^{N}$ be a $C^{1, I^^{3}}$ -domain with a compact boundary $\partial I^c ◯$ , where $I^^{3} \in (0, 1]$ . Denote by $I^´_{I^} c ◯ (x)$ …

math.AP2026

Weyl formulae for some singular metrics with application to acoustic modes in gas giants

Yves Colin de VerdÃ¬Ã¨re, Charlotte Dietze, Maarten V. de Hoop +1

This paper is motivated by recent works on inverse problems for acoustic wave propagation in the interior of gas giant planets. In such planets, the speed of sound is isotropic and…

On existence of minimizers for weighted Lp-Hardy inequalities on C1,I^3-domains with compact boundary

Weyl formulae for some singular metrics with application to acoustic modes in gas giants

On existence of minimizers for weighted $L^{p}$ -Hardy inequalities on $C^{1, I^^{3}}$ -domains with compact boundary