Normalized solutions of <i>L</i> <sup>2</sup>-supercritical NLS equations on noncompact metric graphs with localized nonlinearities
Jack Borthwick, Xiaojun Chang, Louis Jeanjean, Nicola Soave
Abstract
Abstract In this paper we are concerned with the existence of normalized solutions for nonlinear Schrödinger equations on noncompact metric graphs with localized nonlinearities. In a L 2 -supercritical regime, we obtain the existence of solutions for any prescribed mass. This result is obtained through an approach which could prove successful to treat more general equations on noncompact graphs.
Topics & Concepts
MathematicsSupercritical fluidMetric (unit)Nonlinear systemMathematical analysisMathematical physicsPure mathematicsQuantum mechanicsPhysicsThermodynamicsEconomicsOperations managementAdvanced Mathematical Physics ProblemsNonlinear Partial Differential EquationsStability and Controllability of Differential Equations