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Nonlinear elliptic equations with lower order terms and -data

✍ Scribed by G.R. Cirmi

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
230 KB
Volume
68
Category
Article
ISSN
0362-546X

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## Abstract We consider a solution __u__ of the homogeneous Dirichlet problem for a class of nonlinear elliptic equations in the form __A__(__u__) + __g__(__x__, __u__) = __f__, where the principal term is a Leray–Lions operator defined on $ W ^{1, p} \_{0} (\Omega) $ and __g__(__x__, __u__) is a t

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Let u n be the sequence of solutions of where W is a bounded set in R N and f n is a sequence of functions which is strongly convergent to a function f in L 1 loc (W 0 K), with K a compact in W of zero r-capacity; no assumptions are made on the sequence f n on the set K. We prove that if a has grow