A non-rectangular floor plan (NRFP) is one with a rectilinear exterior boundary containing rectangular modules. An NRFP is identified as a T-shaped floor plan if the rectilinear exterior boundary forms a T-shape with two ...
The generation of floor plan layouts has been extensively studied in recent years, driven by the need for efficient and functional architectural designs. Despite significant advancements, existing methods often face ...
We present a novel workflow where non-rectangular floor plans (NRFPs), namely plans with at least one concave corner, are self-generated using a model that directly encodes key optimisation factors on spatial quality and ...
The enhanced power graph of a finite group G is the simple undirected graph whose vertex set is G and two distinct vertices x,y are adjacent if x,y∈⟨z⟩ for some z∈G. An L(2,1)-labeling of graph Γ is an integer labeling of ...
The power graph of a finite group G is the simple undirected graph with vertex set G whose two vertices are adjacent if one is a power of the other. The enhanced power graph of a finite group G is the simple undirected ...
The goal of this paper is to establish singular Adams type inequality for biharmonic operator on Heisenberg group. As an application, we establish the existence of a solution to
where
is a bounded domain, The special ...
In this article, we establish the existence of three weak solutions for a nonlinear Kirchho¤ type elliptic
equation involving polyharmonic operator by using variational methods. We assume that the nonlinearity
satis es ...
In this article, we derive a generalised nonlinear Picone's identity for p sub-Laplacian on the Heisenberg group. Our main result generalises the Picone's identity established by Niu et al.(Proceedings of the American ...
We prove the existence of a weak solution to the problem
−Δpu+V(x)|u|p−2uu(x)=f(u,|∇u|p−2∇u), >0 ∀x∈RN,
where Δpu=div(|∇u|p−2∇u) is the p-Laplace operator, 1<p<N and the nonlinearity f:R×RN→R is continuous and it ...
This article deals with the existence of a weak solution to the Kirchhoff problem:
where
is a bounded and smooth domain in . We assume that f, h and A are continuous functions and the growth of the non linearity is ...
In this article, we prove the existence of a solution to a nonlocal biharmonic equation with nonlinearity depending on the gradient and the Laplacian. We employ an iterative technique based on the mountain pass theorem to ...
This paper aims to establish the existence of a weak solution for the following problem:
(−Δ)sHu(x)+V(x)h(x,x,|u|)u(x)=(∫RNK(y)F(u(y))|x−y|λdy)K(x)f(u(x)) in RN,
where N≥1, s∈(0,1),λ∈(0,N),H(x,y,t)=∫|t|0h(x,y,r)r dr, ...
We establish the existence of a solution to the following problem:
where , is a smooth and bounded domain and , where is the ith eigenvalue of symmetric matrix . We assume that and are parameters. Moreover, we assume that ...
This article is focused on the existence of a ground state solution to the Kirchhoff problem:
where
is a bounded domain with smooth boundary and . We assume that f satisfies critical exponential growth at infinity but ...
This paper aims to establish the existence of a weak solution for the nonlocal problem:
where is a bounded and smooth domain containing two open and connected subsets and such that
and is the -Laplace operator. We assume ...
The goal of this paper is to prove the existence of two weak
solutions for the following problem:
− div(|∇u|p(x)−2∇u+μ(x)|∇u|q(x)−2∇u)
=λh(x)u
−η(x)+ξ(x)|u|s(x)−2u in Ω,
u = 0 on ∂Ω,
where Ω ⊂ RN, N ≥ 2 is a bounded ...
The aim of this article is twofold: firstly, we deal with the existence and multiplicity of weak solutions to the Kirchhoff problem:
⎧
⎪
⎨
⎪
⎩
−𝑎(∫Ω|∇𝑢|𝑁d𝑥)Δ𝑁𝑢=
𝑓(𝑥,𝑢)
|𝑥|𝑏
+𝜆ℎ(𝑥)in Ω,𝑢=0on ∂Ω, ...
This article aims to study the existence of weak solutions for the Kirchhoff type double-phase problem imagewhere and is a real parameter. The main distinctive feature of this problem lies in the second nonlinearity on the ...
This study deals with the entropy generation analysis of synthetic cilia using a ternary hybrid nanofluid (Al–Cu–Fe2O3/Blood) flow through an inclined channel. The objective of the current study is to investigate the effects ...
The present study deals with the entropy generation analysis on the flow of an electrically conductive fluid (Blood) with -suspended nanoparticles through the irregular stenosed artery with thrombosis on the catheter. The ...