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Harnack inequality and continuity of solutions to elliptic equations with nonstandard growth conditions and lower order terms

✍ Scribed by Vitali Liskevich; Igor I. Skrypnik


Publisher
Springer
Year
2009
Tongue
English
Weight
274 KB
Volume
189
Category
Article
ISSN
0373-3114

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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