Periodic solutions of hamiltonian systems with superquadratic potential

Stationary solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac equations

“…[2,3,8,9,27,28,30]). This variational method was inspired by earlier works on periodic and homoclinic orbits of hamiltonian systems ( [6,5,20,31,29]). In order to state the main results contained in this paper, let us note that If (~b,A) is a solution of (M-D) of the form (1.1), then (~,A) is a solution of…”

Stationary states of the nonlinear Dirac equation: A variational approach

“…Stationary solutions are functions of the type φ(x ϋ ,x) = e~i ωx °φ(x), (1.4) where by x we denote (x 1 ,* 2 ,. * 3 ) G R 3 , and such that φ is a non-zero localized solution of the following stationary nonlinear Dirac equation:…”

Multiplicity of solutions for quasilinear elliptic equations

“…is typical in superlinear problems (see e.g. [3], where a problem in one dimension is treated). We are interested in weak solutions u ∈ H 1 0 (Ω) of the quasilinear elliptic equation…”