GROUND STATE SOLUTIONS FOR NONLINEAR SCHRODINGER-BOPP-PODOLSKY BOPP-PODOLSKY SYSTEMS WITH NONPERIODIC POTENTIALS

Author(s)

Jiang, Qiaoyun ; Li, Lin ; Chen, Shangjie ; Siciliano, Gaetano

• Document type: Journal article
• Source: Electronic Journal of Differential Equations; v. 2024, n. 43, p. 25-pg., 2024-08-12.

Abstract

In this article we study the existence of ground-state solutions for the Schrodinger-Bopp-Podolsky equations -Delta u + V(x)u + phi u = f(x,u) in R-3 -Delta phi + a(2)Delta(2)phi = 4 pi u(2) in R-3, where V is an element of C(R-3,R) has different forms on the half spaces, i.e. V(x) = V-1(x) for x(1 )> 0, and V(x) = V-2(x) for x(1 )< 0, where V-1,V-2 is an element of C(R-3) are periodic in each coordinate. The nonlinearity f is superlinear at infinity with subcritical or critical growth. (AU)

• FAPESP's process: 22/16097-2 - Modern methods in differential geometry and geometric analysis
• Grantee: Paolo Piccione
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 22/16407-1 - TESdE: Thematic on Equations and Systems of differential Equations
• Grantee: Ederson Moreira dos Santos
• Support Opportunities: Research Projects - Thematic Grants