Arezou Soleimani Nia, Ghasem A. Afrouzi, Hadi Haghshenas

Existence and Multiplicity Results for p-Hamiltonian Systems

abstract:
In this paper, we give some new criteria that guarantee the existence of at least one weak solution and two weak solutions for a p-Hamiltonian boundary value problem generated by impulsive effects. To ensure the existence of these solutions, we use variational methods and critical point theory as our main tools.

Mathematics Subject Classification: 34B15, 34B37, 58E30

Key words and phrases: Weak solution, p-Hamiltonian boundary value problem, impulsive effect, critical point theory, variational methods