Results 91 to 100 of about 15,743 (200)

Simulating accurate and effective solutions of some nonlinear nonlocal two-point BVPs: Clique and QLM-clique matrix methods. [PDF]

Heliyon, 2023
Izadi M, Singh J, Noeiaghdam S.
europepmc   +1 more source

Quasilinear elliptic equations in $\RN$ via variational methods and Orlicz-Sobolev embeddings

, 2012
In this paper we prove the existence of a nontrivial non-negative radial solution for a quasilinear elliptic problem. Our aim is to approach the problem variationally by using the tools of critical points theory in an Orlicz-Sobolev space. A multiplicity
Azzollini, Antonio, d'Avenia, Pietro, Pomponio, Alessio   +2 more
core  

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

Quasilinear elliptic equations with signed measure

Discrete and Continuous Dynamical Systems, 2008
This paper treats quasilinear elliptic equations in divergence form whose inhomogeneous term is a signed measure. We first prove the existence and continuity of generalized solutions to the Dirichlet problem. The main result of this paper is a weak convergence result, extending previous work of the authors for subharmonic functions and non ...
Wang, Xu-Jia, Trudinger, Neil
openaire   +2 more sources

Existence of multiple weak solutions to a weighted quasilinear elliptic equation

Results in Applied Mathematics
In this study, we explore the existence of solutions to certain quasilinear degenerate elliptic equations that involve Hardy singular coefficients. Using variational techniques and critical point theorems, we establish new criteria for the existence of ...
Khaled Kefi
doaj   +1 more source

The Topological State Derivative: An Optimal Control Perspective on Topology Optimisation. [PDF]

J Geom Anal, 2023
Baumann P, Mazari-Fouquer I, Sturm K.
europepmc   +1 more source

Local Well-Posedness of Skew Mean Curvature Flow for Small Data in d ≥ 4 Dimensions. [PDF]

Commun Math Phys, 2022
Huang J, Tataru D.
europepmc   +1 more source

Sub-supersolution theorems for quasilinear elliptic problems: A variational approach

Electronic Journal of Differential Equations, 2004
This paper presents a variational approach to obtain sub - supersolution theorems for a certain type of boundary value problem for a class of quasilinear elliptic partial differential equations.
Vy Khoi Le, Klaus Schmitt
doaj  

Entire solutions of quasilinear elliptic equations

Journal of Mathematical Analysis and Applications, 2009
The author studies the entire solutions of non-homogeneous quasilinear elliptic equations for which the following two may serve as typical examples: \[ \begin{aligned} \Delta_pu\equiv \text{div}(|Du|^{p-2}Du) &=f(u), \quad p>1,\;x\in\mathbb R^n, \tag{1}\\ \text{div}\left(\frac{Du}{\sqrt{1+|Du|^2}}\right) &=f(u), \quad x\in\mathbb R^n.
openaire   +2 more sources

A link between the steepest descent method and fixed-point iterations. [PDF]

Optim Lett, 2023
Heid P.
europepmc   +1 more source