Results 111 to 120 of about 89,789 (287)

Quasilinear elliptic equations with signed measure

open access: yesDiscrete 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

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

open access: yesAdvances 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   +2 more
doaj   +1 more source

Existence of multiple weak solutions to a weighted quasilinear elliptic equation

open access: yesResults 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

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

open access: yes, 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   +2 more
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