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Dirichlet problems with singular and gradient quadratic lower order terms

Published online by Cambridge University Press:  26 April 2008

Lucio Boccardo
Lucio Boccardo*
Affiliation:
Dipartimento di Matematica, Università di Roma 1, Piazza A. Moro 2, 00185 Roma, Italy; boccardo@mat.uniroma1.it
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Abstract

We present a revisited form of a resultproved in [Boccardo, Murat and Puel, Portugaliae Math.41 (1982) 507–534] and thenwe adapt the new proof in orderto show the existence for solutionsof quasilinear elliptic problems alsoif the lower order term has quadratic dependence on the gradient and singular dependence on the solution.

Keywords

Quadratic gradientsingular lower order term

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Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 14 , Issue 3 , July 2008 , pp. 411 - 426
Copyright
© EDP Sciences, SMAI, 2008

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