Results 21 to 30 of about 864 (32)

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  

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  

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  

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  

A note on fractional powers of the Hermite operator [PDF]

arXiv, 2018
We give a very short proof of a result proved by Cappiello-Rodino-Toft on the Weyl symbol of the inverse of the Harmonic oscillator. We also extend their results to fractional powers.
arxiv  

Self-Adjoint Dirac Operators on Domains in R 3. [PDF]

Ann Henri Poincare, 2020
Behrndt J, Holzmann M, Mas A.
europepmc   +1 more source

Infinite-body optimal transport with Coulomb cost. [PDF]

Calc Var Partial Differ Equ, 2015
Cotar C, Friesecke G, Pass B.
europepmc   +1 more source

Traveling waves and effective mass for the regularized Landau-Pekar equations. [PDF]

Calc Var Partial Differ Equ
Rademacher S.
europepmc   +1 more source