Ground state solutions of nonlocal equations with variable exponents and mixed criticality

• Published in: Boundary value problems Vol. 2025; no. 1; pp. 121 - 21
• Main Authors: Long, Yuhang, Chen, Xingwen, Zhang, Qiongfen
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.12.2025; Hindawi Limited; SpringerOpen
• Subjects: Analysis; Approximations and Expansions; Charged particles; Critical phenomena; Difference and Functional Equations; Exponents; Ground state; Mathematics; Mathematics and Statistics; Ordinary Differential Equations; Partial Differential Equations; Subcritical exponent; Supercritical exponent; Variational method; Variational methods; 34C37; Supercritical exponent; 47J30; 35A15; Subcritical exponent; Variational method; 37J45

In this article, we use approximation techniques and variational methods to study a class of nonlocal equations with variable exponents and mixed criticality. We prove the existence of the ground state nontrivial solutions with the least energy. Our results are applied to a specific Schrödinger-Pois...