We discuss the existence of multiple solutions of nonlinear elliptic equations by a combination of variational, topological methods and the generalized Conley index theory. We obtain several positive solutions and sign-changing solutions. Our main point is to show the usefulness of the Morse inequal
On the Numerical Solution of Some Semilinear Elliptic Problems – II
✍ Scribed by K. Atkinson; A. Sommariva
- Publisher
- Springer Vienna
- Year
- 2004
- Tongue
- English
- Weight
- 379 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0010-485X
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## Dedicated to Professor Izumi Kubo on the occasion of his 70th birthday The purpose of this paper is to study a class of semilinear degenerate elliptic boundary value problems depending on a parameter which include as particular cases the Dirichlet problem and the Robin problem. By using Schaude
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This paper is devoted to the numerical solution of some semilinear elliptic systems with nonlinear discontinuities. The motivation is the modelling of single, irreversible, nonisothermic stationary reactions of zero order. The numerical solution is achieved through an iterative procedure. This uses