Existence of a solution to a nonlinear equation
نویسندگان
چکیده
منابع مشابه
Existence of a solution to a nonlinear equation
Equation (−∆+ k2)u+ f (u)= 0 in D, u|∂D = 0, where k = const > 0 and D ⊂R3 is a bounded domain, has a solution if f :R → R is a continuous function in the region |u| a, piecewisecontinuous in the region |u| a, with finitely many discontinuity points uj such that f (uj ± 0) exist, and uf (y) 0 for |u| a, where a 0 is an arbitrary fixed number. 2005 Elsevier Inc. All rights reserved.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2006
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2005.05.012