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

2026/06/25 by Edward Chernysh
Mathematics · #Differential Equations and Boundary Problems #Algebraic and Geometric Analysis #Mathematical functions and polynomials

paper · doi:10.1016/j.na.2026.114206

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⊂ℝⁿ, n≥2, 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.

Citations

• Entire solutions to a quasilinear purely critical competitive system
• On the critical p-Laplace equation
• Symmetry for positive critical points of Caffarelli-Kohn-Nirenberg inequalities
• A Liouville theorem for the p-Laplacian and related questions
• Entire nodal solutions to the pure critical exponent problem for the p-Laplacian
• On some weakly coercive quasilinear problems with forcing
• Multiplicity results for critical p-Laplacian problems
• Struwe's Decomposition for a Polyharmonic Operator on a compact\n Riemannian Manifold with or without Boundary
• A quantitative analysis of metrics on Rⁿ with almost constant positive scalar curvature, with applications to fast diffusion flows
• Radial symmetry and applications for a problem involving the -Δ_p(⋅) operator and critical nonlinearity in~ℝ^N
• Perturbation results of critical elliptic equations of Caffarelli-Kohn-Nirenberg type
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth

Related

• A Struwe-type Decomposition Result for Weighted Critical p-Laplace Equations
• On a class of critical (p,q)-Laplacian problems
• A Liouville theorem for the p-Laplacian and related questions
• On the classification of entire solutions to the critical p-Laplace equation
• Caffarelli-Kohn-Nirenberg-type inequalities related to weighted p-Laplace equations