Results 1 to 10 of about 661 (92)
Convexity Property of Finsler Infinity Harmonic Functions
International Journal of Differential Equations, Volume 2024, Issue 1, 2024.In this paper, we investigate the convexity property of viscosity solutions to a homogeneous normalized Finsler infinity Laplacian equation. Weak and strong forms for convexity property have been addressed.
Benyam Mebrate, Sining Zheng
wiley +1 more source
Existence of solution for biharmonic systems with indefinite weights [PDF]
, 2014 In this article we deal with the existence questions to the nonlinear biharmonic systems. Using theory of monotone operators, we show the existence of a unique weak solution to the weighted biharmonic systems.
G. Dwivedi
semanticscholar +2 more sources
A fractional Kirchhoff problem involving a singular term and a critical nonlinearity
Advances in Nonlinear Analysis, 2017 In this paper, we consider the following critical nonlocal problem:
Fiscella Alessio
doaj +2 more sources
The Dirichlet problem for fully nonlinear degenerate elliptic equations with a singular nonlinearity [PDF]
arXiv, 2019 We investigate the homogeneous Dirichlet problem in uniformly convex domains for a large class of degenerate elliptic equations with singular zero order term.
Birindelli, Isabeau, Galise, Giulio
core +2 more sources
Singular quasilinear convective elliptic systems in ℝN
Advances 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
Moroccan 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
The impact of a lower order term in a Dirichlet problem with a singular nonlinearity
Portugaliae Mathematica, 2020 In this paper we study the existence and regularity of solutions to the following Dirichlet problem −div(a(x)|∇u| p−2 ∇u) + u|u| r−1 = f (x) u θ in Ω, u > 0 in Ω, u = 0 on ∂Ω proving that the lower order term u|u| r−1 has some regularizing ...
L. Boccardo, G. Croce
semanticscholar +1 more source
A High-Order Discontinuous Galerkin Solver for Helically Symmetric Flows
, 2021 We present a high-order discontinuous Galerkin (DG) scheme to solve the system of helically symmetric Navier-Stokes equations which are discussed in [28].
D. Dierkes, F. Kummer, D. Pluemacher
semanticscholar +1 more source