Results 91 to 100 of about 58,118 (188)

Existence and multiplicity results for a class of Kirchho type problems involving the p(x)-biharmonic operator

, 2017
The aim of this paper is to establish the existence and multiplicity of solutions for a class of nonlocal problem involving the p(x)-biharmonic operator.
Omar Darhouche
core   +1 more source

On the Schrodinger equations with isotropic and anisotropic fourth-order dispersion

Electronic Journal of Differential Equations, 2016
This article concerns the Cauchy problem associated with the nonlinear fourth-order Schrodinger equation with isotropic and anisotropic mixed dispersion.
Elder J. Villamizar-Roa, Carlos Banquet
doaj  

On existence and multiplicity of solutions for a biharmonic problem with weights via Ricceri's theorem

Demonstratio Mathematica
In this work, we consider a special nondegenerate equation with two weights. We investigate multiplicity result of this biharmonic equation. Mainly, our purpose is to obtain this result using an alternative Ricceri’s theorem.
Unal Cihan
doaj   +1 more source

Existence of solutions for fourth-order PDEs with variable exponents

Electronic Journal of Differential Equations, 2009
In this article, we study the following problem with Navier boundary conditions $$displaylines{ Delta _{p(x)}^2u=lambda | u| ^{p(x)-2}u+f(x,u)quad hbox{in }Omega , cr u=Delta u=0quad hbox{on }partial Omega .
Mimoun Moussaoui, Fouzia Moradi, Abdelrachid El Amrouss   +2 more
doaj  

Existence of Sign-Changing Solutions for a Class of p(x)-Biharmonic Kirchhoff-Type Equations

Axioms
This paper mainly studies the existence of sign-changing solutions for the following px-biharmonic Kirchhoff-type equations: −a+b∫RN1p(x)|Δu|p(x)dxΔp(x)2u+V(x)|u|p(x)−2u = Kxf(u),x∈RN, where Δp(x)2u=Δ|Δu|p(x)−2Δu is the p(x) biharmonic operator, a,b>0 ...
Rui Deng, Qing Miao
doaj   +1 more source

Nonexistence results for a time-fractional biharmonic diffusion equation

Boundary Value Problems
We consider weak solutions of the nonlinear time-fractional biharmonic diffusion equation ∂ t α u + ∂ t β u + u x x x x = h ( t , x ) | u | p $\partial _{t}^{\alpha }u+\partial _{t}^{\beta }u+u_{xxxx}=h(t,x)|u|^{p}$ in ( 0 , ∞ ) × ( 0 , 1 ) $(0,\infty ...
Mohamed Jleli, Bessem Samet
doaj   +1 more source

A mixed finite element discretisation of linear and nonlinear multivariate splines using the Laplacian penalty based on biorthogonal systems. [PDF]

MethodsX, 2023
Lamichhane BP.
europepmc   +1 more source

On p-operator spaces and their applications

, 2010
There have been a lot of research done on the relationship between locally compact groups and algebras associated with them. For example, Johnson proved that a locally compact group G is amenable if and only if the convolution algebra L1(G) is amenable ...
Lee, Jung Jin
core  

On some Lr-biharmonic Euclidean hypersurfaces

, 2016
In decade eighty, Bang-Yen Chen introduced the concept of biharmonic hypersurface in the Euclidean space. An isometrically immersed hypersurface $x : M^{n} \rightarrow \mathbb{E}^{n+1}$ is said to be biharmonic if $\Delta^{2}x = 0$, where $\Delta$ is the
Pashaie, F., Mohammadpouri, A.
core   +1 more source

The Föppl-von Kármán equations of elastic plates with initial stress. [PDF]

R Soc Open Sci, 2022
Ciarletta P, Pozzi G, Riccobelli D.
europepmc   +1 more source