Multiplicity results for $p$-Kirchhoff modified Schr\"odinger equations with Stein-Weiss type critical nonlinearity in $\mathbb R^N$

TL;DR

This paper investigates the existence of multiple solutions for a class of modified Kirchhoff-Schrödinger equations with critical Stein-Weiss nonlinearity involving the p-Laplacian in Euclidean space.

Contribution

It introduces new multiplicity results for these equations with Stein-Weiss critical nonlinearity, extending previous work to include the p-Laplacian and critical growth.

Findings

Established existence of multiple solutions

Extended the theory to Stein-Weiss critical nonlinearity

Analyzed the impact of p-Laplacian on solution multiplicity

Abstract

In this article we study modified Kirchhoff-Schr\"odinger equations involving critical Stein-Weiss type nonlinearity and $p$-Laplacian