Results 71 to 80 of about 1,721 (102)
Soliton dynamics for the Schrodinger-Newton system [PDF]
arXiv, 2013 We investigate the soliton dynamics for the Schrodinger-Newton system by proving a suitable modulational stability estimates in the spirit of those obtained by Weinstein for local equations.
arxiv
Multiple $\mathbb{S}^{1}$-orbits for the Schrödinger-Newton system [PDF]
arXiv, 2013 We prove existence and multiplicity of symmetric solutions for the \emph{Schr\"odinger-Newton system} in three dimensional space using equivariant Morse theory.
arxiv
Asymptotically linear fractional Schrodinger equations [PDF]
arXiv, 2014 By exploiting a variational technique based upon projecting over the Pohozaev manifold, we prove existence of positive solutions for a class of nonlinear fractional Schrodinger equations having a nonhomogenous nonautonomous asymptotically linear nonlinearity.
arxiv
Multiple solutions to logarithmic Schrodinger equations with periodic potential [PDF]
arXiv, 2014 We study a class of logarithmic Schrodinger equations with periodic potential which come from physically relevant situations and obtain the existence of infinitely many geometrically distinct solutions.
arxiv
On fractional p-Laplacian problems with weight [PDF]
arXiv, 2014 We investigate the existence of nonnegative solutions for a nonlinear problem involving the fractional p-Laplacian operator. The problem is set on a unbounded domain, and compactness issues have to be handled.
arxiv
Fractional logarithmic Schrödinger equations [PDF]
arXiv, 2014 By means of non-smooth critical point theory we obtain existence of infinitely many weak solutions of the fractional Schr\"odinger equation with logarithmic nonlinearity. We also investigate the H\"older regularity of the weak solutions.
arxiv
Existence of non-trivial solutions for nonlinear fractional Schrödinger-Poisson equations [PDF]
arXiv, 2016 We prove the existence of non-trivial solutions for a fractional Schr$\ddot{o}$dinger-Poisson equation in $\mathbb{R}^{3}$. The proof is based on the perturbation method and the mountain pass theorem.
arxiv
Gausson dynamics for logarithmic Schrödinger equations [PDF]
arXiv, 2017 In this paper we study the validity of a Gausson (soliton) dynamics of the logarithmic Schr\"odinger equation in presence of a smooth external potential.
arxiv
Virial identity and weak dispersion for the magnetic Dirac equation
, 2009 We analyze the dispersive properties of a Dirac system perturbed with a magnetic field. We prove a general virial identity; as applications, we obtain smoothing and endpoint Strichartz estimates which are optimal from the decay point of view.
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Standing waves for a Schrödinger-Chern-Simons-Higgs system [PDF]
arXiv, 2018 We consider a system arising from a nonrelativistic Chern-Simon-Higgs model, in which a charged field is coupled with a gauge field. We prove an existence result for small coupling constants.
arxiv