Synapse
⌘+K
Synapse
PulseExploreClubsResearchersJournals
Instagram
HomeClubsExplore
August 21, 2025Nonlinearity

On the stability of the Hardy–Sobolev inequality involving p-Laplace

View Full Paper
Ask AI
Bookmark
Share

Authors

SDShengbing DengXTXingliang Tian

Discussion

Loading...

Member takes

Overview

Research demonstrates gradient stability of the Hardy–Sobolev inequality involving the p-Laplace operator, suggesting new estimates for stability.

Key Points

  • Gradient stability is observed in the Hardy–Sobolev inequality context, highlighting significant findings about the p-Laplace operator.
  • Key evidence shows that this inequality holds under specific conditions for the operator p, with implications for variational problems in weighted spaces.
  • The approach utilizes compact embedding theorems to establish new estimates essential for analyzing the inequality's behavior under the p-Laplace operator.
  • The findings call for further exploration on the implications of these results, especially regarding the compact embeddings and weak Lebesgue norms.

Cite This Study

Deng et al. (2025) studied this question.

synapsesocial.com/papers/68af53ffad7bf08b1eadaa7ehttps://doi.org/10.1088/1361-6544/adfa5f
View Full Paper
Ask AI
Bookmark
Share

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1The limit of a nonlocal <i>p</i>-Laplacian obstacle problem with nonhomogeneous term as <i>p</i> → ∞2025
  2. 2Higher integrability for measures satisfying a PDE constraint2024 · 3 citations
  3. 3Temporal properties of the stochastic fractional heat equation with spatially-colored noise2024 · 1 citations
  4. 4Blowing-up solutions concentrated along minimal submanifolds for some supercritical Hamiltonian systems on Riemannian manifolds2025
  5. 5Almost everywhere convergence of Bochner-Riesz means for the twisted Laplacian2024