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Existence Results for Some Nonuniformly Elliptic Equations with Irregular Data

โœ Scribed by Daniela Giachetti; Maria Michaela Porzio


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
199 KB
Volume
257
Category
Article
ISSN
0022-247X

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โœฆ Synopsis


In this paper we prove the existence of solutions of some nonlinear elliptic equations with degenerate coercivity of the type

ลฝ .

ยฝ u s 0, on ัจ โ€ , r ลฝ . ลฝ . when the datum F belongs to the space L โ€ , where r F 2 and g 0, 1 .


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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