Infinitely many solutions for a nonlinear Navier boundary systems involving $(p(x),q(x))$-biharmonic
نویسندگان
چکیده
منابع مشابه
Multiple solutions for a perturbed Navier boundary value problem involving the $p$-biharmonic
The aim of this article is to establish the existence of at least three solutions for a perturbed $p$-biharmonic equation depending on two real parameters. The approach is based on variational methods.
متن کاملINFINITELY MANY SOLUTIONS FOR CLASS OF NAVIER BOUNDARY (p, q)-BIHARMONIC SYSTEMS
This article shows the existence and multiplicity of weak solutions for the (p, q)-biharmonic type system ∆(|∆u|p−2∆u) = λFu(x, u, v) in Ω, ∆(|∆v|q−2∆v) = λFv(x, u, v) in Ω, u = v = ∆u = ∆v = 0 on ∂Ω. Under certain conditions on F , we show the existence of infinitely many weak solutions. Our technical approach is based on Bonanno and Molica Bisci’s general critical point theorem.
متن کاملINFINITELY MANY SOLUTIONS FOR A CLASS OF P-BIHARMONIC PROBLEMS WITH NEUMANN BOUNDARY CONDITIONS
The existence of infinitely many solutions is established for a class of nonlinear functionals involving the p-biharmonic operator with nonhomoge- neous Neumann boundary conditions. Using a recent critical-point theorem for nonsmooth functionals and under appropriate behavior of the nonlinear term and nonhomogeneous Neumann boundary conditions, we obtain the result.
متن کاملinfinitely many solutions for a class of p-biharmonic problems with neumann boundary conditions
the existence of infinitely many solutions is established for a class of nonlinear functionals involving the p-biharmonic operator with nonhomoge- neous neumann boundary conditions. using a recent critical-point theorem for nonsmooth functionals and under appropriate behavior of the nonlinear term and nonhomogeneous neumann boundary conditions, we obtain the result.
متن کاملExistence 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 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: Boletim da Sociedade Paranaense de Matemática
سال: 2014
ISSN: 2175-1188,0037-8712
DOI: 10.5269/bspm.v33i1.22519