Results 81 to 90 of about 16,559 (211)

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

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
core  

Three weak solutions for degenerate weighted quasilinear elliptic equations with indefinite weights and variable exponents

open access: yesAIMS Mathematics
This paper explores the multiplicity of weak solutions to a class of weighted elliptic problems with variable exponents, incorporating a Hardy term and a nonlinear indefinite source term.
Khaled Kefi, Nasser S. Albalawi
doaj   +1 more source

Quasilinear degenerate elliptic equation with absorption term

open access: yesNonlinear Analysis: Theory, Methods & Applications, 1999
The author studies the Dirichlet problem for \(p\)-harmonic operators \[ L_pu=-\text{div} (A(x)|\nabla u|^{p-2}\nabla u) \] with absorption term \[ L_pu+B(x)Q(u)= f(x)\quad \text{in } \Omega,\qquad u=0\quad \text{on } \partial\Omega. \] Here \(B(x)\) is a nonnegative function on \(\Omega\) and \(Q(t)\) is a continuous and strictly monotone increasing ...
openaire   +5 more sources

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

Entire solutions of quasilinear elliptic equations

open access: yesJournal of Mathematical Analysis and Applications, 2009
AbstractWe study entire solutions of non-homogeneous quasilinear elliptic equations, with Eqs. (1) and (2) below being typical. A particular special case of interest is the following: Let u be an entire distribution solution of the equation Δpu=|u|q−1u, where p>1. If q>p−1 then u≡0.
openaire   +2 more sources

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