Results 41 to 50 of about 838 (110)

Remarks on Type II blowups of solutions to the Navier-Stokes equations [PDF]

arXiv, 2023
In the note, the Euler scaling is used to study a certain scenario of potential Type II blowups of solutions to the Navier-Stokes equations.
arxiv  

Nonlinear elliptic boundary value problems with convection term and Hardy potential

Moroccan Journal of Pure and Applied Analysis, 2023
In this paper, we deal with a nonlinear elliptic problems that incorporate a Hardy potential and a nonlinear convection term. We establish the existence and regularity of solutions under various assumptions concerning the summability of the source term f.
Achhoud Fessel, Bouajaja Abdelkader, Redwan Hicham   +2 more
doaj   +1 more source

MULTIPLE SOLUTIONS FOR A P (X)-LAPLACIAN-LIKE PROBLEM WITH NEUMANN CONDITION ORIGINATED FROM A CAPILLARY PHENOMENA

, 2018
This paper presents several sufficient conditions for the existence of at least three weak solutions for the following Neumann problem, originated from a capillary phenomena,  −div (( 1 + |∇u| p(x) √ 1+|∇u|2p(x) ) |∇u|p(x)−2∇u ) + a(x)|u|p(x)−2u ...
S. Heidarkhani, A. Araujo, G. Afrouzi, S. Moradi   +3 more
semanticscholar   +1 more source

A COUPLED SYSTEM OF FUNCTIONAL DIFFERENTIAL EQUATIONS IN REFLEXIVE BANACH SPACES

, 2017
We present an existence theorem for at least one weak solution for the coupled system of functional differential equations x ′(t) = f1(t, y ′(t)), t ∈ (0, T ], y ′(t) = f2(t, x ′(t)), t ∈ (0, T ] in reflexive Banach spaces.
A. El-Sayed, W. El-Sayed, A. El-Mowla
semanticscholar   +1 more source

Existence of solutions to strongly damped quasilinear wave equations

Advances in Differential Equations, 2012
In this paper, we study the strongly damped quasilinear wave equation. By using spatial sequence techniques and energy estimate methods, we obtain the existence theorem of the solution to abstract a strongly damped wave equation and to a class of ...
Hongying Luo, Li-mei Li, T. Ma
semanticscholar   +2 more sources

Remarks on Eigenvalue Problems for Fractional $p(\cdot)$-Laplacian [PDF]

arXiv, 2020
In this paper, we give some properties and remarks of the new fractional Sobolev spaces with variable exponents. We also study the eigenvalue problem involving the new fractional $p(\cdot)$-Laplacian.
arxiv  

The structure of 𝓐-free measures revisited

Advances in Nonlinear Analysis, 2020
We refine a recent result on the structure of measures satisfying a linear partial differential equation 𝓐μ = σ, μ, σ are Radon measures, considering the measure μ(x) = g(x)dx + μus(x̃)(μs(x̄) + dx̄) where x = (x̃,x̄) ∈ ℝk × ℝd−k, μus is a uniformly ...
Mitrovic D., Vujadinović Dj.
doaj   +1 more source

SOLUTIONS FOR THE P ( X )-LAPLACIAN WITH DEPENDENCE ON THE GRADIENT

, 2017
This paper is concerned with the existence of nontrivial solutions for p(x)Laplacian equations with gradient dependence { −div ( |∇u|p(x)−2∇u ) + |u|p(x)−2 u = f(x, u, |∇u|p(x)−2∇u) in Ω, u = 0 on ∂Ω, (P) The techniques are based on an iterative scheme ...
R. Ayazoğlu, S. Akbulutb, E. Akkoyunluc
semanticscholar   +1 more source

Asymptotic behaviour of the non-autonomous 3D Navier-Stokes problem with coercive force [PDF]

, 2010
We construct pullback attractors to the weak solutions of the three-dimensional Dirichlet problem for the incompressible Navier-Stokes equations in the case when the external force may become unbounded as time goes to plus or minus infinity.
arxiv   +1 more source

Existence results for nonlinear degenerate elliptic equations with lower order terms

Advances in Nonlinear Analysis, 2020
In this paper, we prove the existence and regularity of solutions of the homogeneous Dirichlet initial-boundary value problem for a class of degenerate elliptic equations with lower order terms. The results we obtained here, extend some existing ones of [
Zou Weilin, Li Xinxin
doaj   +1 more source