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:
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⎪
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−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 ...
This attempt numerically investigates the heat transfer in parabolic trough solar collectors due to the rotating tube for the hybrid nanofluid flow over the Riga surface with Darcy Forchheimer’s porous medium under the ...
The current study is centered on the application of magnetically targeted drug delivery in a constricted vertical bifurcated artery utilizing Fe O nanoparticles. The arterial stenosis is characterized by a bell-shaped ...
Current investigation deals with the melting heat transfer for the Jeffrey hybrid-nanofluid flow in parabolic trough solar collectors through Darcy Forchheimer porous media over a variable thick vertical elongation Riga ...
Atherosclerosis, which causes the artery walls to thicken, the lumen to narrow, and the wall to thin in some places, is characterized by plaque accumulation in the arteries. These blood flow modifications can cause aneurysms ...
Nanofluids have a wide range of applications in biological research. They are employed in targeted medication administration, hyperthermia (for cancer treatment) and differential diagnostics like magnetic resonance image ...
The present study deals with the effects of radiation and mass transfer on a laminar unsteady free convective flow of a viscous, incompressible, electrically conducting and chemically reacting fluid past a vertical surface ...
The mixed convection heat transfer of nanofluid flow in a heated square cylinder under the influence of a magnetic field is considered in this paper. ANSYS FLUENT computational fluid dynamics (CFD) software with a finite ...
This investigation deals with the sensitivity analysis of the unsteady, incompressible fluid flow past a vertical elongating surface using the Response Surface Methodology. The impact of Joule heating, viscous dissipation, ...