Existence of Weak Solutions to a Class of Singular Elliptic Equations

2016 ◽  
Vol 13 (6) ◽  
pp. 4917-4927 ◽  
Author(s):  
Qingwei Li ◽  
Wenjie Gao
Keyword(s):  
Weak Solutions ◽  
Elliptic Equations ◽  
Existence Of Weak Solutions ◽  
Singular Elliptic Equations

Radiative effects for some bidimensional thermoelectric problems

2016 ◽  
Vol 5 (4) ◽  
Author(s):  
Luisa Consiglieri
Keyword(s):  
Steady State ◽  
Weak Solutions ◽  
Elliptic Equations ◽  
Sufficient Conditions ◽  
Coupled System ◽  
Divergence Form ◽  
Radiative Effects ◽  
Existence Of Weak Solutions ◽  
Nonlinear Radiation ◽  
Radiation Type

AbstractThere are two main objectives in this paper. One is to find sufficient conditions to ensure the existence of weak solutions for some bidimensional thermoelectric problems. At the steady-state, these problems consist of a coupled system of elliptic equations of the divergence form, commonly accomplished with nonlinear radiation-type conditions on at least a nonempty part of the boundary of a

scholarly journals Weak solutions of degenerated quasilinear elliptic equations of higher order

1996 ◽  
Vol 19 (4) ◽  
pp. 689-706
Author(s):  
Pavel Drábek ◽  
Alois Kufner ◽  
Francesco Nicolosi
Keyword(s):  
Weak Solutions ◽  
Elliptic Equations ◽  
Weighted Sobolev Spaces ◽  
Degree Theory ◽  
Preceding Paper ◽  
Higher Order ◽  
Quasilinear Elliptic Equations ◽  
Monotone Mappings ◽  
Existence Of Weak Solutions ◽  
Quasilinear Elliptic

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. The straightforward use of these imbeddings allows us to consider more general assumptions than those in our preceding paper [3].

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