Existence of infinitely many periodic solutions for ordinary p-Laplacian 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 کاملInfinitely 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...
متن کاملInfinitely 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
متن کاملExistence 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
متن کاملTHE EXISTENCE OF INFINITELY MANY SOLUTIONS FOR p-LAPLACIAN TYPE EQUATIONS ON R WITH LINKING GEOMETRY
In this paper, we study the existence of infinitely many solutions to the following quasilinear equation of p-Laplacian type in R (0.1) −△pu+ |u|p−2u = λV (x)|u|p−2u+ g(x, u), u ∈ W (R ) with sign-changing radially symmetric potential V (x), where 1 < p < N, λ ∈ R and △pu = div(|Du|p−2Du) is the p-Laplacian operator, g(x, u) ∈ C(R×R,R) is subcritical and p-superlinear at 0 as well as at infinit...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2009
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2008.10.027