Infinitely many solutions for a class of $p$-biharmonic equation in $mathbb{R}^N$
Authors
Abstract:
Using variational arguments, we prove the existence of infinitely many solutions to a class of $p$-biharmonic equation in $mathbb{R}^N$. The existence of nontrivial solution is established under a new set of hypotheses on the potential $V(x)$ and the weight functions $h_1(x), h_2(x)$.
similar resources
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.
full textINFINITELY 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.
full textinfinitely 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.
full textinfinitely many solutions for a class of $p$-biharmonic equation in $mathbb{r}^n$
using variational arguments, we prove the existence of infinitely many solutions to a class of $p$-biharmonic equation in $mathbb{r}^n$. the existence of nontrivial solution is established under a new set of hypotheses on the potential $v(x)$ and the weight functions $h_1(x), h_2(x)$.
full textINFINITELY 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.
full textInfinitely 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.
full textMy Resources
Journal title
volume 43 issue 1
pages 205- 215
publication date 2017-02-22
By following a journal you will be notified via email when a new issue of this journal is published.
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023