In this work we analyze existence, nonexistence, multiplicity and regularity of solution to problem -Delta u = beta(u)vertical bar del u vertical bar(2) + lambda f(x) in Omega, u = 0 on partial derivative Omega where beta is a continuous nondecreasing positive function and f belongs to some suitable Lebesgue spaces. (c) 2005 Elsevier Inc. All rights reserved.
Some remarks on elliptic problems with critical growth in the gradient / Boumediene, Abdellaoui; Dall'Aglio, Andrea; Ireneo, Peral. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 222:1(2006), pp. 21-62. [10.1016/j.jde.2005.02.009]
Some remarks on elliptic problems with critical growth in the gradient
DALL'AGLIO, Andrea;
2006
Abstract
In this work we analyze existence, nonexistence, multiplicity and regularity of solution to problem -Delta u = beta(u)vertical bar del u vertical bar(2) + lambda f(x) in Omega, u = 0 on partial derivative Omega where beta is a continuous nondecreasing positive function and f belongs to some suitable Lebesgue spaces. (c) 2005 Elsevier Inc. All rights reserved.File allegati a questo prodotto
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