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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


Positive solutions of elliptic equations
✍ Xiuchao Song; Weihua Wang; Peihao Zhao 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 411 KB

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.

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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