A Hamiltonian system is studied which has a term approaching a constant at an exponential rate at infinity. A minimax argument is used to show that the equation has a positive homoclinic solution. The proof employs the interaction between translated solutions of the corresponding homogeneous equation. What distinguishes this result from its few predecessors is that the equation has a nonhomogeneous nonlinearity
In this paper, we consider the following nonhomogeneous Klein–Gordon– Maxwell system −∆u + V(x)u − (...
We introduce a functional space which is suitable for the variational analysis of a class of semilin...
AbstractThe existence of homoclinic solutions is obtained for second-order Hamiltonian systems −u¨(t...
S. Spradlin A Hamiltonian system is studied which has a term approaching a con-stant at an exponenti...
A Hamiltonian system is studied which has a term approaching a constant at an exponential rate at i...
We study a Hamiltonian system that has a superquadratic potential and is asymptotic to an autonomous...
Abstract: A Hamiltonian system with a superquadratic potential is examined. The system is asymptotic...
A Hamiltonian system with a superquadratic potential is examined. The system is asymptotic to an aut...
Recently, C. Imbert \& R. Monneau study the homogenization of coercive Hamilton-Jacobi Equations wit...
In this paper, we find new conditions to ensure the existence of one nontrivial homoclinic solution ...
We consider a Hamilton-Jacobi equation where the Hamiltonian is periodic in space and coercive and c...
International audienceIn this paper, we study the following nonlocal nonautonomous Hamiltonian syste...
Minimax solutions are weak solutions to Cauchy problems involving Hamilton--Jacobi equations, constr...
AbstractWe consider a fourth-order quasilinear nonhomogeneous equation which is equivalent to a nonh...
We apply the method of Hamilton shooting to obtain the well-posedness of boundary value problems for...
In this paper, we consider the following nonhomogeneous Klein–Gordon– Maxwell system −∆u + V(x)u − (...
We introduce a functional space which is suitable for the variational analysis of a class of semilin...
AbstractThe existence of homoclinic solutions is obtained for second-order Hamiltonian systems −u¨(t...
S. Spradlin A Hamiltonian system is studied which has a term approaching a con-stant at an exponenti...
A Hamiltonian system is studied which has a term approaching a constant at an exponential rate at i...
We study a Hamiltonian system that has a superquadratic potential and is asymptotic to an autonomous...
Abstract: A Hamiltonian system with a superquadratic potential is examined. The system is asymptotic...
A Hamiltonian system with a superquadratic potential is examined. The system is asymptotic to an aut...
Recently, C. Imbert \& R. Monneau study the homogenization of coercive Hamilton-Jacobi Equations wit...
In this paper, we find new conditions to ensure the existence of one nontrivial homoclinic solution ...
We consider a Hamilton-Jacobi equation where the Hamiltonian is periodic in space and coercive and c...
International audienceIn this paper, we study the following nonlocal nonautonomous Hamiltonian syste...
Minimax solutions are weak solutions to Cauchy problems involving Hamilton--Jacobi equations, constr...
AbstractWe consider a fourth-order quasilinear nonhomogeneous equation which is equivalent to a nonh...
We apply the method of Hamilton shooting to obtain the well-posedness of boundary value problems for...
In this paper, we consider the following nonhomogeneous Klein–Gordon– Maxwell system −∆u + V(x)u − (...
We introduce a functional space which is suitable for the variational analysis of a class of semilin...
AbstractThe existence of homoclinic solutions is obtained for second-order Hamiltonian systems −u¨(t...