Results 81 to 90 of about 839,332 (169)

Existence of solutions to perturbed critical biharmonic equations with Hardy potential

Electronic Journal of Differential Equations
This article studies a perturbed critical biharmonic equation with Hardy potential. The main challenge arises from the combined effects of critical Sobolev nonlinearity and singular Hardy potential, which induce a double loss of compactness in the ...
Qi Li, Yuzhu Han, Jian Wang
doaj  

Nonhomogeneous elliptic problems of Kirchhoff type involving critical Sobolev exponents

Electronic Journal of Differential Equations, 2015
This article concerns the existence and the multiplicity of solutions for nonhomogeneous elliptic Kirchhoff problems involving the critical Sobolev exponent, defined on a regular bounded domain of $\mathbb{R}^3$.
Safia Benmansour, Mohammed Bouchekif
doaj  

Multiplicity of Solutions for a Class of Fourth-Order Elliptic Problems with Asymptotically Linear Term

Journal of Applied Mathematics, 2012
We study the following fourth-order elliptic equations: Δ2𝑢+𝑎Δ𝑢=𝑓(𝑥,𝑢),𝑥∈Ω,𝑢=Δ𝑢=0,𝑥∈𝜕Ω, where Ω⊂ℝ𝑁 is a bounded domain with smooth boundary 𝜕Ω and 𝑓(𝑥,𝑢) is asymptotically linear with respect to 𝑢 at infinity.
Qiong Liu, Dengfeng Lü
doaj   +1 more source

The existence of positive solutions for an elliptic boundary value problem

International Journal of Mathematics and Mathematical Sciences, 2005
By using the mountain pass lemma, we study the existence of positive solutions for the equation −Δu(x)=λ(u|u|+u)(x) for x∈Ω together with Dirichlet boundary conditions and show that for every ...
G. A. Afrouzi
doaj   +1 more source

Resurrection of Stipatremula and taxonomy of the high-alpine species from the Stipapurpurea complex (Poaceae, Pooideae). [PDF]

PhytoKeys, 2022
Nobis M, Krzempek M, Nowak A, Gudkova PD, Klichowska E.   +4 more
europepmc   +1 more source

Solutions for fractional p ( x , ⋅ ) $p(x,\cdot )$ -Kirchhoff-type equations in R N $\mathbb{R}^{N}$

Journal of Inequalities and Applications
In this paper, we discuss the fractional p ( x , ⋅ ) $p(x,\cdot )$ -Kirchhoff-type equations M ( ∫ R N × R N 1 p ( x , y ) | u ( x ) − u ( y ) | p ( x , y ) | x − y | N + s p ( x , y ) d x d y ) ( − Δ p ( x , . ) ) s u + | u | p ¯ ( x ) − 2 u = f ( x , u
Lili Wan
doaj   +1 more source

Entire solutions of schrödinger elliptic systems with discontinuous nonlinearity and sign‐changing potential

Mathematical Modelling and Analysis, 2006
We establish the existence of an entire solution for a class of stationary Schrodinger systems with subcritical discontinuous nonlinearities and lower bounded potentials that blow‐up at infinity.
T. L. Dinu
doaj   +1 more source

An update on the taxonomy of Calamagrostisnagarum (Bor) G.Singh and its allies (Poaceae, Agrostidinae): morphometrics and micro-morphology. [PDF]

PhytoKeys, 2022
Prasad D, Kumar R, Jaiswal S, Yadav R, Tiwari S, Agnihotri P.   +5 more
europepmc   +1 more source

KYP lemma based stability and control law design for differential linear repetitive processes with applications

, 2013
Repetitive processes are a class of two-dimensional systems that have physical applications, including the design of iterative learning control laws where experimental validation results have been reported.
Galkowski, Krzysztof, Paszke, Wojciech, Rogers, Eric   +2 more
core   +1 more source

On Fourth-Order Elliptic Equations of Kirchhoff Type with Dependence on the Gradient and the Laplacian

Journal of Function Spaces, 2018
We consider a nonlocal fourth-order elliptic equation of Kirchhoff type with dependence on the gradient and Laplacian Δ2u-a+b∫Ω∇u2dxΔu=fx,u,∇u,Δu, in Ω, u=0, Δu=0, on ∂Ω, where a, b are positive constants.
Yuanfang Ru, Fanglei Wang, Yunhai Wang, Tianqing An   +3 more
doaj   +1 more source