## Abstract This paper deals with the finite element displacement method for approximating isolated solutions of general quasilinear elliptic systems. Under minimal assumptions on the structure of the continuous problems it is shown that the discrete analogues also have locally unique solutions whi
Comparison theorems for nonlinear elliptic systems of second order with applications
β Scribed by D.B. Dhaigude; D.Y. Kasture
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 461 KB
- Volume
- 112
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
HILBERT space L,(D) where the coefficients always fulfil the following conditions. ## i) ii) a@), q(z) E Cl(l2) and real-valued, a&) = a@), x E D, ( 7) Denoting the domain of the FRIEDRICHS extension A by D(A) we have W ) r H A . 5 mR"). 1) W#W) is the completion of Com(Rn) in the norm Ilullw&BT8
## Abstract We consider a solution __u__ of the homogeneous Dirichlet problem for a class of nonlinear elliptic equations in the form __A__(__u__) + __g__(__x__, __u__) = __f__, where the principal term is a LerayβLions operator defined on $ W ^{1, p} \_{0} (\Omega) $ and __g__(__x__, __u__) is a t