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Coercivity for elliptic operators and positivity of solutions on Lipschitz domains

✍ Scribed by Robert Haller-Dintelmann; Joachim Rehberg


Publisher
Springer
Year
2010
Tongue
English
Weight
270 KB
Volume
95
Category
Article
ISSN
0003-889X

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Positive solution for semilinear ellipti
✍ Jiguang Bao πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 150 KB

We give the comparison principle, the uniqueness theorem, and the necessary and su cient conditions for the solvability with positive solutions in W 2;p loc ∩ L ∞ of the Dirichlet problems for semilinear elliptic equations on general bounded domains. The domains may be irregular while the equations