Results 111 to 120 of about 88,801 (291)

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

Weak solutions of degenerated quasilinear elliptic equations of higher order

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1996
We prove the existence of weak solutions of higher order degenerated quasilinear elliptic equations. The main tools are the degree theory for generalized monotone mappings and imbedding theorems between weighted Sobolev spaces.
Pavel Drábek   +2 more
doaj   +1 more source

An inverse boundary value problem for certain anisotropic quasilinear elliptic equations [PDF]

open access: yesJournal of Differential Equations, 2020
Cătălin I. Cârstea, A. Feizmohammadi
semanticscholar   +1 more source

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

𝐿∞-Solutions for Some Nonlinear Degenerate Elliptic Equations

open access: yesInternational Journal of Differential Equations, 2011
We are interested in the existence of solutions for Dirichlet problem associated to the degenerate quasilinear elliptic equations −∑𝑛𝑗=1𝐷𝑗[𝜔2(𝑥)𝒜𝑗(𝑥,𝑢,∇𝑢)]+𝜔1(𝑥)𝑔(𝑥,𝑢(𝑥))+𝐻(𝑥,𝑢,∇𝑢)𝜔2(𝑥)=𝑓(𝑥),onΩ in the setting of the weighted Sobolev spaces W01,𝑝(Ω,𝜔1,𝜔2)
Albo Carlos Cavalheiro
doaj   +1 more source

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