Existence and Decay Estimates of Minimizers for the p -Laplacian Schrödinger Energy Functional with Hardy Potential and Sobolev Critical Growth

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 ,