Results 71 to 80 of about 247 (144)

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  

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

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

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

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

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

Performance-guaranteed distributed control for multiple plant protection UAVs with collision avoidance and a directed topology. [PDF]

Front Plant Sci, 2022
Huang H, Mei H, Yan T, Wang B, Xu F, Zhou D.   +5 more
europepmc   +1 more source

Subcritical perturbations of resonant linear problems with sign-changing potential

Electronic Journal of Differential Equations, 2005
We establish existence and multiplicity theorems for a Dirichlet boundary-value problem at resonance. This problem is a nonlinear subcritical perturbation of a linear eigenvalue problem studied by Cuesta, and includes a sign-changing potential. We obtain
Teodora-Liliana Dinu
doaj  

Preliminary checklist of the genus Festuca L. (Loliinae, Pooideae, Poaceae) in the Altai Mountains with outlines for further studies. [PDF]

PhytoKeys, 2023
Gudkova PD, Kriuchkova EA, Shmakov AI, Nobis M.   +3 more
europepmc   +1 more source