Existence and Uniqueness of Positive Solutions to a Semilinear Elliptic Problem in RN
نویسندگان
چکیده
منابع مشابه
Existence and Uniqueness of Solutions to a Semilinear Elliptic System
In this article, we show the existence and uniqueness of smooth solutions for boundary-value problems of semilinear elliptic systems.
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has been studied by several authors, where 1 < p for N = 2, 1 < p < (N + 2)/(N − 2) for N ≥ 3 and Q(x) is a positive bounded continuous function. If Q(x) is a radial function, we can find infinity many solutions of problem (PQ) by restricting our attention to the radial functions (cf. [2, 5]). IfQ(x) is nonradial, we encounter a difficulty caused by the lack of a compact embedding of Sobolev ty...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1999
ISSN: 0022-247X
DOI: 10.1006/jmaa.1998.6162