On uniqueness for a semilinear parabolic system coupled in an equation and a boundary condition

We consider the system

     

Life span of solutions with large initial data for a semilinear parabolic system

We investigate the initial-boundary value problem

     

Periodic solutions of superlinear autonomous Hamiltonian systems with prescribed period

In this paper we prove an existence theorem of nonconstant periodic solution of superlinear autonomous Hamiltonian system with prescribed period under an assumption weaker than Ambrosetti-Rabinowitz-type condition:

     

Lane-Emden systems with negative exponents

We study the elliptic system

     

Intersection with the vertical isocline in the generalized Liénard equations

We consider the generalized Liénard system

     

Multiplicity solutions of an elliptic system in exterior domain with rich topology

We study the multiplicity solutions for the nonlinear elliptic system

     

Solitary waves for non-homogeneous Schrödinger-Maxwell system

In this paper we study the Schrödinger-Maxwell system

     

A nonlocal in time parabolic system whose Fujita critical exponent is not given by scaling

We consider the nonlocal coupled parabolic system

     

On the existence of radial positive entire solutions for polyharmonic systems

Two-dimensional nonlinear, polyharmonic systems of the type

     

Periodic solutions for Hamiltonian systems without Ambrosetti-Rabinowitz condition and spectrum 0

In this paper, we consider the superquadratic second order Hamiltonian system

     

Boundedness of solutions for reversible system via Moser's twist theorem

In this paper we consider the problem of the boundedness of all solutions for the reversible system

     

On the existence and uniqueness of limit cycles for generalized Liénard systems

In this paper, we consider a generalized Liénard system

     

Blow-up and global existence for a nonlocal degenerate parabolic system

This paper investigates the blow-up and global existence of nonnegative solutions of the system

     

Boundedness of solutions for second order differential equations with asymmetric nonlinearity

In this paper we are concerned with the boundedness of all solutions of the second order differential equations

     

An instability criterion for activator-inhibitor systems in a two-dimensional ball II

Let B be a two-dimensional ball with radius R. We continue to study the shape of the stable steady states to

     

Boundary blow-up solutions for a cooperative system of quasilinear equation

We study the existence, uniqueness and boundary behavior of positive boundary blow-up solutions to the quasilinear elliptic system