## 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-S

We consider a nonlinear Dirichlet boundary value problem involving the $p(x)$-Laplacian and a concave term. Our main result shows the existence of at least three nontrivial solutions. We use truncation techniques and the method of sub- and supersolutions.

CPAA

We study the uniqueness of weak solutions for Dirichlet problems
with variable exponent and non-standard growth conditions. First, we provide
two uniqueness results under ellipticity type hypotheses. Next, we provide
a uniqueness result when the operator driving the problem is in the form of
the divergence of a monotone map. Finally, we derive a fourth uniqueness
result under homogeneity type hypotheses, by means of a comparison result
and approximation.

CPAA

A nonautonomous second order system with a nonsmooth potential is
studied. It is assumed that the system is asymptotically linear at
infinity and resonant (both at infinity and at the origin), with
respect to the zero eigenvalue. Also, it is assumed that the
linearization of the system is indefinite. Using a nonsmooth
variant of the reduction method and the local linking theorem, we
show that the system has at least two nontrivial solutions.

keywords:
reduction method
,
Resonant system
,
coercive functional
,
$C$-condition.
,
local linking
,
indefinite linear part

DCDS

We consider second order periodic systems with a nonsmooth
potential and an indefinite linear part. We impose conditions
under which the nonsmooth Euler functional is unbounded. Then
using a nonsmooth variant of the reduction method and the
nonsmooth local linking theorem, we establish the existence of at
least two nontrivial solutions.

## Year of publication

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