<div class="csl-bib-body">
<div class="csl-entry">Hu, J. (2025). The Lₚ-Brunn–Minkowski inequalities for variational functionals with 0 ≤ p < 1. <i>Calculus of Variations and Partial Differential Equations</i>, <i>64</i>(8), Article 241. https://doi.org/10.1007/s00526-025-03090-7</div>
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dc.identifier.issn
0944-2669
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/221128
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dc.description.abstract
The infinitesimal forms of the Lₚ-Brunn–Minkowski inequalities for variational functionals, such as the q-capacity, the torsional rigidity, and the first eigenvalue of the Laplace operator, are investigated for p≥0. These formulations yield Poincaré-type inequalities related to these functionals. As an application, the Lₚ-Brunn–Minkowski inequalities for torsional rigidity with 0≤p<1 are confirmed for small smooth perturbations of the unit ball.
en
dc.language.iso
en
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dc.publisher
SPRINGER HEIDELBERG
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dc.relation.ispartof
Calculus of Variations and Partial Differential Equations
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dc.subject
Lp-Brunn-Minkowski inequality
en
dc.subject
Variational functionals
en
dc.title
The Lₚ-Brunn–Minkowski inequalities for variational functionals with 0 ≤ p < 1
