A Struwe-type decomposition result for weighted critical p-Laplace equations

We establish Struwe-type decompositions of Palais-Smale sequences for a class of critical $p$-Laplace equations of the Caffarelli-Kohn-Nirenberg type in a bounded domain $Ω\subset\mathbb{R}^n$, $n\ge2$, containing the origin. In doing so, we highlight important differences introduced by the weights and require new rescaling laws to account for this new framework.

Authors

Publication Details

Journal
Nonlinear Analysis
Published
2026-06-25
DOI
https://doi.org/10.1016/j.na.2026.114206
Primary Topic
Differential Equations and Boundary Problems
Type
preprint
Field-Weighted Citation Impact
0.00

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

A Struwe-type decomposition result for weighted critical p-Laplace equations

Edward Chernysh
Nonlinear Analysis
Differential Equations and Boundary Problems
preprint

A Struwe-type decomposition result for weighted critical p-Laplace equations

Edward Chernysh
preprint en

Abstract

We establish Struwe-type decompositions of Palais-Smale sequences for a class of critical $p$-Laplace equations of the Caffarelli-Kohn-Nirenberg type in a bounded domain $Ω\subset\mathbb{R}^n$, $n\ge2$, containing the origin. In doing so, we highlight important differences introduced by the weights and require new rescaling laws to account for this new framework.

Nonlinear AnalysisVol. 273
McGill University, Natural Sciences and Engineering Research Council of Canada
Openalex Percentile: Top 99%
Differential Equations and Boundary Problems
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.