Asymptotic Analysis· 2026Q1
Existence and Decay Estimates of Minimizers for the p -Laplacian Schrödinger Energy Functional with Hardy Potential and Sobolev Critical Growth
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- Q1SCImago
- 2026year
Short summary
This paper proves the existence of minimizers for a p-Laplacian Schrödinger energy functional with Hardy potential and Sobolev critical growth, establishing decay estimates for these minimizers.
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Key points
- Proves the existence of minimizers for p-Laplacian Schrödinger energy functional with Hardy potential and Sobolev critical growth.
- Establishes decay estimates for the identified minimizers.
- Considers the nonlinear problem in R^N \ {0} with specific constraints on p and N.
- Addresses the interplay between Hardy potential and critical nonlinearities.
AI-generated from the title and abstract; the full text is not read.
Abstract
In this paper, we discuss the following nonlinear p -Laplacian problems with a Hardy term and Sobolev critical growth: { − Δ p u − μ | x | p | u | p − 2 u + λ | u | p − 2 u = | u | p * − 2 u + κ | u | q − 2 u , x ∈ R N ∖ { 0 } , ∫ R N | u | p d x = c , where N ≥ 2 , 1 < p < N , c ,
The authors' abstract, as published at the source. Asymptotic Analysis, 2026 · DOI ↗
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Field: Applied Mathematics
Applied MathematicsMathematics