## 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
- Electronic Research Announcements
- Conference Publications
- AIMS Mathematics

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 $S^1(T)\times S^{n-1}$.

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.

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