Results 31 to 40 of about 502 (154)

Quasilinear and singular elliptic systems [PDF]

, 2020
. In this paper, we investigate the following quasilinear elliptic and singular system (P): where Ω is an open bounded domain with smooth boundary ...
R N, Paul Sauvy, Jacques Giacomoni, Jesús Hernandez   +3 more
core  

Higher order approximation in exponential form based on half-step grid-points for 2D quasilinear elliptic BVPs on a variant domain

MethodsX, 2023
This paper reports a new fourth order Finite Difference Method (FDM) in exponential form for two-dimensional quasilinear boundary value problem of elliptic type (BVPE) with variant solution domain.
Nikita Setia, R.K. Mohanty
doaj   +1 more source

Weak solutions for singular quasilinear elliptic systems [PDF]

Complex Variables and Elliptic Equations, 2016
20 pages, This paper contains in Section 2 the results from my previous paper arXiv:1511 ...
openaire   +2 more sources

On some multicomponent quasilinear elliptic systems

Journal of Mathematical Analysis and Applications, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lorenzo D'Ambrosio, Enzo Mitidieri
openaire   +5 more sources

Multiplicity results for a quasilinear elliptic system via Morse theory

, 2005
In this work we prove some multiplicity results for solutions of a system of elliptic quasilinear equations, involving the p-Laplace operator (p > 2). The proofs are based on variational and topological arguments and make use of new perturbation results ...
Lazzo, M., Vannella, G., Cingolani, S.
core   +2 more sources

Existence and multiplicity of solutions for a quasilinear system with locally superlinear condition

Advances in Nonlinear Analysis, 2023
We investigate the existence and multiplicity of weak solutions for a nonlinear Kirchhoff type quasilinear elliptic system on the whole space RN{{\mathbb{R}}}^{N}. We assume that the nonlinear term satisfies the locally super-(m1,m2)\left({m}_{1},{m}_{2})
Liu Cuiling, Zhang Xingyong
doaj   +1 more source

On positive weak solutions for a class of weighted (p(.), q(.))−Laplacian systems

Moroccan Journal of Pure and Applied Analysis, 2019
In this paper, we study the existence of positive weak solutions for a quasilinear elliptic system involving weighted (p(.), q(.))−Laplacian operators. The approach is based on sub-supersolutions method and on Schauder’s fixed point theorem.
Azroul Elhoussine, Boumazourh Athmane, Srati Mohammed   +2 more
doaj   +1 more source

Operator compact exponential approximation for the solution of the system of 2D second order quasilinear elliptic partial differential equations

Advances in Difference Equations, 2019
In this paper, we suggest a new exponential implicit method based on full step discretization of order four for the solution of quasilinear elliptic partial differential equation of the form A(x,y,z)zxx+C(x,y,z)zyy=k(x,y,z,zx,zy) $A ( x,y,z ) z_{xx} +C (
R. K. Mohanty, Geetan Manchanda, Arshad Khan   +2 more
doaj   +1 more source

The Numbers of Positive Solutions by the Lusternik-Schnirelmann Category for a Quasilinear Elliptic System Critical with Hardy Terms

Abstract and Applied Analysis, 2019
In this paper, we study the quasilinear elliptic system with Sobolev critical exponent involving both concave-convex and Hardy terms in bounded domains.
Mustapha Khiddi
doaj   +1 more source

Large-amplitude internal fronts in two-fluid systems

Comptes Rendus. Mathématique, 2021
In this announcement, we report results on the existence of families of large-amplitude internal hydrodynamic bores. These are traveling front solutions of the full two-phase incompressible Euler equation in two dimensions.
Chen, Robin Ming, Walsh, Samuel, Wheeler, Miles H.   +2 more
doaj   +1 more source