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Entropy solutions for the p(x)-Laplace equation
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Description: |
We consider a Dirichlet problem in divergence form with variable
growth, modeled on the p(x)-Laplace equation. We obtain existence and
uniqueness of an entropy solution for L^1 data, extending a work of Bénilan
et al. to nonconstant exponents, as well as integrability results for the
solution and its gradient. The proofs rely crucially on a priori estimates in
Marcinkiewicz spaces with variable exponent.
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Date: |
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| Start Time: |
14.30 |
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Speaker: |
Manel Sanchón (CMUC, Univ. Coimbra)
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Place: |
5.5
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| Research Groups: |
-Analysis
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See more:
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<Main>
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© 2012 Centre for Mathematics, University of Coimbra, funded by
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