Infinitely Many Periodic Solutions for Variable Exponent Systems
نویسندگان
چکیده
منابع مشابه
Existence results of infinitely many solutions for a class of p(x)-biharmonic problems
The existence of infinitely many weak solutions for a Navier doubly eigenvalue boundary value problem involving the $p(x)$-biharmonic operator is established. In our main result, under an appropriate oscillating behavior of the nonlinearity and suitable assumptions on the variable exponent, a sequence of pairwise distinct solutions is obtained. Furthermore, some applications are pointed out.
متن کاملA VARIATIONAL APPROACH TO THE EXISTENCE OF INFINITELY MANY SOLUTIONS FOR DIFFERENCE EQUATIONS
The existence of infinitely many solutions for an anisotropic discrete non-linear problem with variable exponent according to p(k)–Laplacian operator with Dirichlet boundary value condition, under appropriate behaviors of the non-linear term, is investigated. The technical approach is based on a local minimum theorem for differentiable functionals due to Ricceri. We point out a theorem as a spe...
متن کاملDamped vibration problems with sign-changing nonlinearities: infinitely many periodic solutions
IN×N is theN×N identity matrix, q(t) ∈ L(R;R) is T-periodic and satisfies ∫ T q(t)dt = , A(t) = [aij(t)] is aT-periodic symmetricN×N matrix-valued functionwith aij ∈ L∞(R;R) (∀i, j = , , . . . ,N ), B = [bij] is an antisymmetric N × N constant matrix, u = u(t) ∈ C(R,RN ), H(t,u) ∈ C(R × RN ,R) is T-periodic and Hu(t,u) denotes its gradient with respect to the u variable. In fact, there ...
متن کاملInfinitely many solutions for a bi-nonlocal equation with sign-changing weight functions
In this paper, we investigate the existence of infinitely many solutions for a bi-nonlocal equation with sign-changing weight functions. We use some natural constraints and the Ljusternik-Schnirelman critical point theory on C1-manifolds, to prove our main results.
متن کاملExistence of Infinitely Many Periodic Solutions for Second-order Nonautonomous Hamiltonian Systems
By using minimax methods and critical point theory, we obtain infinitely many periodic solutions for a second-order nonautonomous Hamiltonian systems, when the gradient of potential energy does not exceed linear growth.
متن کامل