Results 21 to 30 of about 368 (76)

Existence and Regularity for Solution to a Degenerate Problem with Singular Gradient Lower Order Term

open access: yesMoroccan Journal of Pure and Applied Analysis, 2022
We study the existence and regularity results for non-linear elliptic equation with degenerate coercivity and a singular gradient lower order term. The model problems is {-div(b(x)|∇u|p-2∇u(1+|u|)γ)+|∇u|p|u|θ=f,in Ω,u=0,on ∂Ω,\left\{ {\matrix{ { - div ...
Khelifi Hichem
doaj   +1 more source

Stability Of contact discontinuity for steady Euler System in infinite duct [PDF]

open access: yes, 2011
In this paper, we prove structural stability of contact discontinuities for full Euler system.
arxiv   +1 more source

Singularly perturbed Choquard equations with nonlinearity satisfying Berestycki-Lions assumptions

open access: yesAdvances in Nonlinear Analysis, 2019
In the present paper, we consider the following singularly perturbed problem:
Tang Xianhua, Chen Sitong
doaj   +1 more source

Weighted critical exponents of Sobolev-type embeddings for radial functions

open access: yesAdvanced Nonlinear Studies, 2022
In this article, we prove the upper weighted critical exponents for some embeddings from weighted Sobolev spaces of radial functions into weighted Lebesgue spaces. We also consider the lower critical exponent for certain embedding.
Su Jiabao, Wang Cong
doaj   +1 more source

On the uniqueness for weak solutions of steady double-phase fluids

open access: yesAdvances in Nonlinear Analysis, 2021
We consider a double-phase non-Newtonian fluid, described by a stress tensor which is the sum of a p-Stokes and a q-Stokes stress tensor, with 1 
Abdelwahed Mohamed   +2 more
doaj   +1 more source

Positive Solutions for Systems of Quasilinear Equations with Non-homogeneous Operators and Weights

open access: yesAdvanced Nonlinear Studies, 2020
In this paper we deal with positive radially symmetric solutions for a boundary value problem containing a strongly nonlinear operator. The proof of existence of positive solutions that we give uses the blow-up method as a main ingredient for the search ...
García-Huidobro Marta   +2 more
doaj   +1 more source

A Short Proof of Hölder Continuity for Functions in DeGiorgi Classes [PDF]

open access: yesAnnales Academi{\ae} Scientiarum Fennic{\ae} Mathematica, Volumen 43, 2018, 931-934, 2017
The goal of this note is to give an alternative proof of local H\"older continuity for functions in DeGiorgi classes based on an idea of Moser.
arxiv   +1 more source

Best possible estimates of weak solutions of boundary value problems for quasi-linear elliptic equations in unbounded domains

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
We investigate the behaviour of weak solutions of boundary value problems for quasi-linear elliptic divergence second order equations in unbounded domains. We show the boundedness of weak solutions to our problem.
Wiśniewski Damian
doaj   +1 more source

Normalized solutions for a critical fractional Choquard equation with a nonlocal perturbation

open access: yesAdvances in Nonlinear Analysis, 2023
In this article, we study the fractional critical Choquard equation with a nonlocal perturbation: (−Δ)su=λu+α(Iμ*∣u∣q)∣u∣q−2u+(Iμ*∣u∣2μ,s*)∣u∣2μ,s*−2u,inRN,{\left(-{\Delta })}^{s}u=\lambda u+\alpha \left({I}_{{\mu }^{* }}\hspace{-0.25em}{| u| }^{q}){| u|
Lan Jiali, He Xiaoming, Meng Yuxi
doaj   +1 more source

Ground state solutions for the Hénon prescribed mean curvature equation

open access: yesAdvances in Nonlinear Analysis, 2018
In this paper, we consider the analogous of the Hénon equation for the prescribed mean curvature problem in ℝN{{\mathbb{R}^{N}}}, both in the Euclidean and in the Minkowski spaces. Motivated by the studies of Ni and Serrin [W. M. Ni and J.
Azzollini Antonio
doaj   +1 more source

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