Zeng-Qi Ou

Existence and Multiplicity of Nontrivial Solutions for a Class of Fourth-Order Elliptic Equations

Using the Fountain theorem and a version of the Local Linking theorem, we obtain some existence and multiplicity results for a class of fourth-order elliptic equations.

Existence of weak solutions for a class of (p,q)-Laplacian systems on resonance☆

Abstract The existences of weak solutions for a class of ( p , q ) -Laplacian systems on resonance are obtained under the certain Landesman–Lazer-type conditions by using G-link Theorem due to Drabek and Robinson (1999). Our results give a positive answer to an open problem of Zographopoulos (2004).

On the existence of minimal periodic solutions for a class of second-order Hamiltonian systems☆

Abstract In this paper, we study the existence of minimal periodic solutions for autonomous second-order Hamiltonian systems with even potentials. Some existence results are obtained by using the variational methods.