1,720,990 research outputs found

    Multiple solutions to some singular nonlinear Schrodinger equations

    No full text
    We consider the equation h2Deltau+Vvarepsilon(x)u=up2u - h^2 Delta u + V_varepsilon(x) u = |u|^{p-2} u which arises in the study of standing waves of a nonlinear Schrodinger equation. We allow the potential VvarepsilonV_varepsilon to be unbounded below and prove existence and multiplicity results for positive solutions

    Standing Waves for Nonautonomous Klein-Gordon-Maxwell Systems

    No full text
    We study a Klein-Gordon-Maxwell system, in a bounded spatial domain, under Neumann boundary conditions on the electric potential. We allow a nonconstant coupling coefficient. For sufficiently small data, we find infinitely many standing waves
    corecore