Results 71 to 80 of about 23,725 (167)

Du Bois-Reymond Type Lemma and Its Application to Dirichlet Problem with the p(t)-Laplacian on a Bounded Time Scale. [PDF]

Entropy (Basel), 2021
Mawhin J, Skrzypek E, Szymańska-Dȩbowska K.   +2 more
europepmc   +1 more source

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

Deformation lemma, Lyusternik-Schnirelman theory and mountain pass theorem on \(C^ 1\)-Finsler manifolds

, 1995
Summary: Let \(M\) be a complete \(C^1\)-Finsler manifold without boundary and \(f: M\to \mathbb{R}\) be a locally Lipschitz function. The classical proof of the well-known deformation lemma can not be extended to this case because integral lines may not exist.
Ribarska, Nadezhda, Tsachev, Tsvetomir, Krastanov, Mikhail   +2 more
openaire   +2 more sources

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

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

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

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

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