Comparison and regularity results for a nonlinear elliptic equation
β Scribed by Maria Francesca Betta; Anna Mercaldo
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 573 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## 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
We develop a simple variational argument based on the usual Nirenberg difference quotient technique to deal with the regularity of the solutions of Dirichlet and Neumann problems for some linear and quasilinear elliptic equation in Lipschitz domains. We obtain optimal regularity results in the natur
This paper deals with the existence of multiple solutions for some classes of nonlinear elliptic Dirichlet boundary value problems. The interplay of convex and concave nonlinearities is studied both for second order equations and for problems involving the p-Laplacian. The bifurcation of positive so