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Global regularity for solutions to Dirichlet problem for discontinuous elliptic systems with nonlinearityq

✍ Scribed by Sofia Giuffrè; Giovanna Idone

Publisher
Springer US
Year
2007
Tongue
English
Weight
238 KB
Volume
40
Category
Article
ISSN
0925-5001

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✍ Giuseppe Di Fazio; Dian K. Palagachev; Maria Alessandra Ragusa 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 159 KB

Well-posedness is proved in the space W 2, p, \* (0) & W 1, p 0 (0) for the Dirichlet problem u=0 a.e. in 0 on 0 if the principal coefficients a ij (x) of the uniformly elliptic operator belong to VMO & L (0). 1999 Academic Press 1. INTRODUCTION In the last thirty years a number of papers have bee