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quadratic gradient

ESAIM: Control, Optimisation and Calculus of Variations (1)

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Dirichlet problems with singular and gradient quadratic lower order terms
Lucio Boccardo
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 14 / Issue 3 / July 2008

Published online by Cambridge University Press:

26 April 2008, pp. 411-426

Print publication:

July 2008
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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.