Multiple solutions for a Schrödinger–Bopp–Podolsky system with positive potentials
Giovany M. Figueiredo, Gaetano Siciliano
Abstract
Abstract In this paper, we prove existence of solutions for a Schrödinger–Bopp–Podolsky system under positive potentials. We use the Ljusternick–Schnirelmann and Morse Theories to get multiple solutions with a priori given “interaction energy.”
Topics & Concepts
Morse codeMathematicsA priori and a posterioriSchrödinger's catEnergy (signal processing)Schrödinger equationMathematical physicsMathematical analysisEpistemologyComputer scienceStatisticsTelecommunicationsPhilosophyNonlinear Partial Differential EquationsAdvanced Mathematical Physics ProblemsSpectral Theory in Mathematical Physics