A Class of Subcritical and Critical Schrödinger–Kirchhoff Equations with Variable Exponents
Year: 2025
Type: article
Abstract: In the present paper, we discuss a Schrödinger–Kirchhoff equation involving the p(x)-Laplacian in the entire space RN. The primary focus of this article is on subcritical and critical nonlinearities. We deduce the existence of solutions by employing the mountain pass theorem in two distinct scenarios. Firstly, we discuss the equation when the potential function satisfies a weaker condition in the subcritical case. Secondly, we address the lack of compactness in the critical case without utilizing the concentration compactness principle.
Source: Fractal and Fractional
Authors: Shuai Li, Tianqing An, Yue Wu, Zhenfeng Zhang
Institutions: Hohai University, Linyi University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,258
OpenAlex ID: W4407811456