Results 1 to 10 of about 350 (67)

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

Singular quasilinear convective elliptic systems in ℝN

open access: yesAdvances in Nonlinear Analysis, 2022
The existence of a positive entire weak solution to a singular quasi-linear elliptic system with convection terms is established, chiefly through perturbation techniques, fixed point arguments, and a priori estimates.
Guarnotta Umberto   +2 more
doaj   +1 more source

Positive solution for a nonlocal problem with strong singular nonlinearity

open access: yesOpen Mathematics, 2023
In this article, we consider a nonlocal problem with a strong singular term and a general weight function. By using Ekeland’s variational principle, we prove a necessary and sufficient condition for the existence of a positive solution.
Wang Yue   +3 more
doaj   +1 more source

Positive solutions for a class of singular (p, q)-equations

open access: yesAdvances in Nonlinear Analysis, 2023
We consider a nonlinear singular Dirichlet problem driven by the (p,q)\left(p,q)-Laplacian and a reaction where the singular term u−η{u}^{-\eta } is multiplied by a strictly positive Carathéodory function f(z,u)f\left(z,u).
Leonardi Salvatore   +1 more
doaj   +1 more source

Deforming a Convex Hypersurface by Anisotropic Curvature Flows

open access: yesAdvanced Nonlinear Studies, 2021
In this paper, we consider a fully nonlinear curvature flow of a convex hypersurface in the Euclidean 𝑛-space. This flow involves 𝑘-th elementary symmetric function for principal curvature radii and a function of support function.
Ju HongJie, Li BoYa, Liu YanNan
doaj   +1 more source

Bifurcation analysis for a modified quasilinear equation with negative exponent

open access: yesAdvances in Nonlinear Analysis, 2021
In this paper, we consider the following modified quasilinear problem:
Chen Siyu   +3 more
doaj   +1 more source

Refined second boundary behavior of the unique strictly convex solution to a singular Monge-Ampère equation

open access: yesAdvances in Nonlinear Analysis, 2021
In this paper, we establish the second boundary behavior of the unique strictly convex solution to a singular Dirichlet problem for the Monge-Ampère ...
Wan Haitao, Shi Yongxiu, Liu Wei
doaj   +1 more source

On isolated singularities of Kirchhoff equations

open access: yesAdvances in Nonlinear Analysis, 2020
In this note, we study isolated singular positive solutions of Kirchhoff ...
Chen Huyuan   +2 more
doaj   +1 more source

Parametric singular double phase Dirichlet problems

open access: yesAdvances in Nonlinear Analysis, 2023
We consider a parametric (with two parameters μ,λ>0\mu ,\lambda \gt 0) Dirichlet problem driven by the double phase differential operator and a reaction which has the competing effect of a singular term and of a superlinear perturbation.
Bai Yunru   +2 more
doaj   +1 more source

Some recent results on singular p-Laplacian equations

open access: yesDemonstratio Mathematica, 2022
A short account of some recent existence, multiplicity, and uniqueness results for singular p-Laplacian problems either in bounded domains or in the whole space is performed, with a special attention to the case of convective reactions.
Guarnotta Umberto   +2 more
doaj   +1 more source

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