Uniqueness and Nonuniqueness for the Approximation of Quasilinear Elliptic Equations
Nelly André, Michel Marie Chipot · SIAM Journal on Numerical Analysis · 1996
We investigate the issue of uniqueness and nonuniqueness for the approximate solution of quasilinear elliptic equations. In particular we show that even if the continuous problem admits a unique solution, its approximation by finite elements may lead to several approximate solutions.