On positive solutions of a class of nonlinear elliptic equations
✍ Scribed by Mats Ehrnström; Octavian G. Mustafa
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 218 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
This paper deals with the nonlinear elliptic equationu + u = f (x, u) in a bounded smooth domain Ω ⊂ R N with a nonlinear boundary value condition. The existence results are obtained by the sub-supersolution method and the Mountain Pass Lemma. And nonexistence is also considered.
In this paper, we study the existence of two positive solutions of superlinear elliptic equations without assuming the conditions which have been used in the literature to deduce either the P.S. condition or a priori bounds of positive solutions. The first solution is proved as the minimal positive