## Journals

- Advances in Mathematics of Communications
- Big Data & Information Analytics
- Communications on Pure & Applied Analysis
- Discrete & Continuous Dynamical Systems - A
- Discrete & Continuous Dynamical Systems - B
- Discrete & Continuous Dynamical Systems - S
- Evolution Equations & Control Theory
- Inverse Problems & Imaging
- Journal of Computational Dynamics
- Journal of Dynamics & Games
- Journal of Geometric Mechanics
- Journal of Industrial & Management Optimization
- Journal of Modern Dynamics
- Kinetic & Related Models
- Mathematical Biosciences & Engineering
- Mathematical Control & Related Fields
- Mathematical Foundations of Computing
- Networks & Heterogeneous Media
- Numerical Algebra, Control & Optimization
- AIMS Mathematics
- Conference Publications
- Electronic Research Announcements
- Mathematics in Engineering

### Open Access Journals

DCDS

We prove existence of standing waves solutions
for electrostatic Klein-Gordon-Maxwell systems in arbitrary dimensional compact Riemannian manifolds
with boundary for zero Dirichlet boundary conditions.
We prove that phase compensation holds true when the dimension $n = 3$ or $4$.
In these dimensions, existence of a solution is obtained when the mass of the particle field, balanced by the phase,
is small in a geometrically quantified sense. In particular, existence holds true for sufficiently large
phases. When $n \ge 5$, existence of a solution is obtained when the mass of the particle field is sufficiently small.

CPAA

We discuss and prove existence of multiple solutions for critical elliptic systems in potential form on compact Riemannian manifolds.

CPAA

We prove that critical vector-valued Schrödinger equations on compact Riemannian manifolds possess only constant solutions
when the potential is sufficiently small. We prove the result in dimension $n = 3$ for arbitrary manifolds
and in dimension $n \ge 4$ for manifolds with positive curvature. We also establish a gap estimate
on the smallness of the potentials for the specific case of $S^1(T)\times S^{n-1}$.

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