Sobolev Inequality In Manifolds With Lower Quadratic Curvature Decay

By using the ABP method developed by Cabr\'e and Brendle, we establish some Sobolev inequalities for compact domains and submanifolds in a complete Riemannian manifold with lower quadratic curvature decay

Publication Details

Journal
ArXiv.org
Published
2025-03-25
Primary Topic
Nonlinear Partial Differential Equations
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Sobolev Inequality In Manifolds With Lower Quadratic Curvature Decay

ArXiv.org
Nonlinear Partial Differential Equations
article

Sobolev Inequality In Manifolds With Lower Quadratic Curvature Decay

article en

Abstract

By using the ABP method developed by Cabr\'e and Brendle, we establish some Sobolev inequalities for compact domains and submanifolds in a complete Riemannian manifold with lower quadratic curvature decay

ArXiv.org
Reduced inequalities
Openalex Percentile: Top 38%
Nonlinear Partial Differential Equations
Open Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Sobolev Inequality In Manifolds With Lower Quadratic Curvature Decay · ArXiv.org (2025) | TGRS Research Map | TGRS