On elliptic systems with discontinuous nonlinearities
β Scribed by Liu Zhenhai
- Publisher
- Springer Netherlands
- Year
- 1995
- Tongue
- English
- Weight
- 543 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0031-5303
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π SIMILAR VOLUMES
Let R be a bounded domain in W" (n > 3) having a smooth boundary, let cp be an essentially bounded real-valued function defined on R x We, and let 1c, be a continuous realvalued function defined on a given subset Y of We. In this paper, the existence of strong solutions u E W'J'(R,EX~) n W,:Pp(R,~h)
In this paper we are interested for elliptic problems of Ambrosetti-Prodi type with discontinuous nonlinearities. The di erential operator is the p-Laplacian and we use a variational method for locally Lipschitz functionals due to Chang. We do not use the method of upper and lower solution and we do