Classical and Weak Solutions of a Singular Semilinear Elliptic Problem

The singular semilinear elliptic equation Δu + p(x)f(u) = 0 is shown to have a unique positive classical solution in Rn that decays to zero at ∞ if p(x) is simply a nontrivial nonnegative continuous function satisfying ∫∞0 t max|x| = t p(x) dt < ∞, provided f is a non-increasing continuously diff...

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Bibliographic Details

Main Authors:	Lair, Alan V., Shaker, Aihua W.
Format:	text
Published:	AFIT Scholar 1997
Subjects:	Elliptical problems 35J65 Partial Differential Equations
Online Access:	https://scholar.afit.edu/facpub/259 https://www.sciencedirect.com/science/article/pii/S0022247X97954706/pdfft?md5=c7911d1870c051588f16dda8418089fc&pid=1-s2.0-S0022247X97954706-main.pdf
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