A Type of Nonlocal Elliptic Problem: Existence and Approximation Through a Galerkin--Fourier Method
نویسندگان
چکیده
منابع مشابه
Existence of Solutions of a Nonlocal Elliptic System via Galerkin Method
and Applied Analysis 3 x 1. That is, sin πx > 0 in 0, 1 but, for η large enough, the corresponding solution is not positive. This contrasts with the local equation −u′′ x ηu x f x , 0 < x < 1, u 0 u 1 0, η > 0, 1.8 for which it is very well known, see 14 , that, for all η > 0, function u > 0 in 0, 1 whenever f > 0 in 0, 1 . Remark 1.1. We have to point out that the lack of a general maximum pri...
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2015
ISSN: 0036-1410,1095-7154
DOI: 10.1137/140963066