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

Nonlinear Analysis 2026 Open access

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Authors: Edward Chernysh
DOI: 10.1016/j.na.2026.114206
Cited by: 0
References: 55

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.

Fields of Study & Subjects

Differential Equations and Boundary Problems Algebraic and Geometric Analysis Mathematical functions and polynomials

Publication details

Journal / source
Nonlinear Analysis
Publisher
Elsevier BV
Volume
273
Pages
114206–114206
Publication date
25 June 2026
Language
EN