| Autor: |
Giannetti, Flavia, Moscariello, Gioconda |
| Přispěvatelé: |
Giannetti, Flavia, Moscariello, Gioconda |
| Jazyk: |
angličtina |
| Rok vydání: |
2018 |
| Předmět: |
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| Popis: |
We study the Dirichlet problem for the second order elliptic equation (Equation presented) in a bounded regular domain Ω ⊂ ℝN, N > 2. We assume that f ∈ L2 and that the coefficients aij are measurable and bounded functions with the first derivatives in the Marcinkiewicz class weak-LN and having a sufficiently small distance to L∞. Under these assumptions we prove the solvability of the problem in W2,2 ∩ W1,2∗ 0, where 2∗ =2N/N-2. An higher integrability result for the gradient of the solution is achieved when f∈LP,p>2. © 2018 European Mathematical Society Publishing House. All rights reserved. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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