Positive solutions to nonlinear elliptic problems involving Sobolev exponent

2023/10/16 by Carlo Mercuri, Mercuri, Carlo, Riccardo Molle +1
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering

paper · pdf · doi:10.48550/arxiv.2310.10529

Abstract

In this paper we consider nonlinear elliptic PDEs of the type -Δ_p u+a(x)|u|^p-2u=|u|^{p^*-2}u in Ω, where 1

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