Infinitely many periodic solutions for anisotropic φ-Laplacian systems

Infinitely many periodic solutions for some second-order differential systems with p(t)-Laplacian

* Correspondence: [email protected] School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, P. R. China Abstract In this article, we investigate the existence of infinitely many periodic solutions for some nonautonomous second-order differential systems with p(t)-Laplacian. Some multiplicity results are obtained using critical point theory. 2...

Infinitely Many Periodic Solutions for Variable Exponent Systems

Infinitely Many Solutions for a Steklov Problem Involving the p(x)-Laplacian Operator

By using variational methods and critical point theory for smooth functionals defined on a reflexive Banach space, we establish the existence of infinitely many weak solutions for a Steklov problem involving the p(x)-Laplacian depending on two parameters. We also give some corollaries and applicable examples to illustrate the obtained result../files/site1/files/42/4Abstract.pdf

Multiple periodic solutions for two classes of nonlinear difference systems involving classical ( φ 1 , φ 2 ) - Laplacian

In this paper, we investigate the existence of multiple periodic solutions for two classes of nonlinear difference systems involving (φ1,φ2)-Laplacian. First, by using an important critical point theorem due to B. Ricceri, we establish an existence theorem of three periodic solutions for the first nonlinear difference system with (φ1,φ2)-Laplacian and two parameters. Moreover, for the second no...

Infinitely Many Periodic Solutions of Nonlinear Wave Equations on S

The existence of time periodic solutions of nonlinear wave equations utt −∆nu + ` n− 1 2 ́2 u = g(u)− f(t, x) on n-dimensional spheres is considered. The corresponding functional of the equation is studied by the convexity in suitable subspaces, minimax arguments for almost symmetric functional, comparison principles and Morse theory. The existence of infinitely many time periodic solutions is o...