This paper aims to show the existence of nontrivial solutions for discrete elliptic boundary value problems by using the "Mountain Pass Theorem". Some conditions are obtained for discrete elliptic boundary value problems to have at least two nontrivial solutions. The results obtained improve the con
Coincidence degree and nontrivial solutions of elliptic boundary value problems at resonance
β Scribed by Zhi-Qing Han
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 227 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0362-546X
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In this paper, we use Fucik spectrum, ordinary differential equation theory of Banach spaces to study semilinear elliptic boundary value problems with jumping nonlinearities at zero or infinity, especially with resonance at infinity, and obtain new results on the existence of multiple solutions and
## Dedicated to Professor Kyuya Masuda on the occasion of his 70th birthday The purpose of this paper is to study a class of semilinear elliptic boundary value problems with degenerate boundary conditions which include as particular cases the Dirichlet problem and the Robin problem. The approach h