[PDF] Top 20 Singular potential Hamiltonian system

... the Hamiltonian system with nonsingular potential ...nonsingular potential nonlinearity or jumping nonlinearity crossing one eigenvalue, or two eigenvalues, or several eigenval- ... See full document

... the system of wave equations with singular potential ...wave system with singular potential nonlinearity and the Dirichlet boundary ... See full document

... respect to x. Recall that a solution u of system (1.1) is said to be homoclinic to 0 if u ≡ 0 and u(t) → 0 as | t | → ∞ . Furthermore, if u minimizes the energy functional of (1.1) among all possible nontrivial ... See full document

... In the recent years, one-dimensional complex Hamil- tonians H x p  ,  have generated lot of interest for the understanding of several newly discovered phenomena in various science-streams [1,2], but such studies in ... See full document

... where V is a homogeneous function of degree 0. Although these systems arising from physics and applied sciences are generally understood to involve only real variables, we will assume that the Hamiltonian ... See full document

... In the present paper, we give a positive answer to the above question. In fact, we employ Clark’s theorem in critical point theory to establish new existence criteria to guarantee that system (.) has at least ... See full document

... respectively. In the above two cases, since L(n) is positive definite, the variational func- tional associated with system (.) is bounded from below, techniques based on the genus properties have been well ... See full document

... The existence and multiplicity of homoclinic solutions of system (.) or its special forms have been investigated by many authors. Papers [–] deal with the periodic case where p, L and W are periodic in n or ... See full document

... coordinate system of the phase ...and potential energies; that is, they are at the same status too, what really matters in this formulation is the total energy or more generally the ...any ... See full document

... symmetric Hamiltonian systems is based on Poisson and symplectic ...at singular points of the momentum map. We survey the singular reduction procedures and we give a method of reducing a symmetric ... See full document

... second-order Hamiltonian systems without singularity, based on their work, Benci [, ] and Gluck and Ziller [] and Hayashi [] used a Jacobi metric and very complicated geodesic methods and algebraic topology to ... See full document

... Regular semilinear elliptic systems have been studied extensively and many conclusions have been established. For example, Alves et al. studied in [] an elliptic system and some important conclusions had been ... See full document

... Benci, V, Giannoni, G: Periodic solutions of prescribed energy for a class of Hamiltonian system with singular potentials. Degiovanni, M, Giannoni, F: Dynamical systems with Newtonian ty[r] ... See full document

... By Lemmas . and ., f has a critical value C > , and the corresponding critical point is a T -periodic solution of the system (.). Furthermore, we claim that the critical point is non-constant; in fact, ... See full document

... Abstract: We consider the focusing 2D non-linear Schr¨ odinger equation, perturbed by a damping term, and driven by multiplicative noise. We show that a physically motivated trial solution does not collapse for any ... See full document

... We consider a fourth order Hamiltonian system with some singular nonlinear term and multiplicity result. We get two theorems which show the number of weak solutions of this problem. The first theorem ... See full document

... In this paper, we define a variable transformation, new canonical variables for constrained Hamiltonian system can be given through a series of calculation, the purpose of canonicalization can be achieved. ... See full document

... The generalized variable exponent Morrey spaces were introduced and stud- ied in [11] in the case of bounded sets. In [11] the boundedness of the maximal operator, potential operators and singular integral ... See full document

... a singular fractional Sturm-Liouville problem with Coulomb potential and prove spec- tral properties of spectral data for the ...Coulomb potential is self adjoint, in addition to ... See full document

... very narrow and it is mostly centered around the deformed minimum. Also, the two peaks for the first state of the β band are sensitive to the height of the barrier. The second peak decreases with the increase of the ... See full document