Multiple periodic solutions of a class of p-Laplacian

Multiple Solutions for a Class of p(x)-Laplacian Systems

Since the space L x and W1,p x were thoroughly studied by Kováčik and Rákosnı́k 1 , variable exponent Sobolev spaces have been used in the last decades to model various phenomena. In 2 , Růžička presented the mathematical theory for the application of variable exponent spaces in electro-rheological fluids. In recent years, the differential equations and variational problems with p x -growth cond...

Existence of Periodic Solutions for a Class of Asymptotically p-Linear Discrete Systems Involving p-Laplacian

MULTIPLE PERIODIC SOLUTIONS FOR A CLASS OF NON-AUTONOMOUS AND CONVEX HAMILTONIAN SYSTEMS

In this paper we study Multiple periodic solutions for a class of non-autonomous and convex Hamiltonian systems and we investigate use some properties of Ekeland index.  

Existence of Periodic Solutions of p(t)-Laplacian Systems

In this paper, by using the least action principle in critical point theory, we obtain some existence theorems of periodic solutions for p(t)-Laplacian system  d dt (|u̇(t)|p(t)−2u̇(t)) = ∇F (t, u(t)) a.e. t ∈ [0, T ] u(0)− u(T ) = u̇(0)− u̇(T ) = 0, which generalize some existence theorems. 2010 Mathematics Subject Classification: 34C25, 35A15

On Positive Solutions for a Class of p-Laplacian Problems

We consider the system ⎧ ⎪ ⎨ ⎪ ⎩ −Δ p u = λf (v) in Ω −Δ q v = μg(u) in Ω u = v = 0 on ∂Ω (I) where Δ p u = div(|∇u| p−2 ∇u), Δ q v = div(|∇v| q−2 ∇v), p, q > 1, Ω is the open unit ball in R N , N ≥ 2 and ∂Ω is its boundary. We establish upper and lower estimates for possible positive solutions of system(I).