u] corresponds to solving local symmetric CRFE Dirichlet problems, and the solutions are unique.
kl] u corresponds to solving local nonsymmetric CRVFE Dirichlet problems, the solutions of which are unique.
The Dirichlet problems
for higher-order linear differential equations in multiply connected domains have not been solved yet.
The existence of solutions of p(x)-Laplacian Dirichlet problems
has been studied in many papers (see e.
There are many papers devoted to the Dirichlet problems
of quasilinear elliptic equations, see for example , , .
2005, A numerical method to find a positive solution of semilinear elliptic Dirichlet problems
, Applied Mathematics and Computation, Article in Press.
Evaluation of The Di_erence Between The Regularizators of Di_raction and of Dirichlet Problems
Other methods can be pursued similarly to manage the rank deficiency of fully Dirichlet problems
In this paper, the existence of at least three weak solutions for Dirichlet problems
involving the p-Laplacian is established.
We note that these Dirichlet problems
are always well posed and that [S.
We observe that, near the vertices, this refinement coincides with the ones introduced in [3, 12, 17, 70] for the Dirichlet problem
In this article, we discuss the numerical solution of the Dirichlet problem
for the real elliptic Monge-Ampere equation, in two dimensions, by an augmented Lagrangian based iterative method.