In this paper we deal with a nonlinear elliptic problem, whose model is { -Delta u = B vertical bar u vertical bar 2/u + f in Omega, u = 0 on partial derivative Omega, where B > 0 and f >= 0 belongs to a Lebesgue space. We prove the existence of positive solutions in suitable Sobolev spaces (depending on f and B). (C) 2010 Elsevier Inc. All rights reserved.
Some elliptic problems with singular natural growth lower order terms / David, Arcoya; Boccardo, Lucio; Leonori, Tommaso; Alessio, Porretta. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - 249:11(2010), pp. 2771-2795. [10.1016/j.jde.2010.05.009]
Some elliptic problems with singular natural growth lower order terms
BOCCARDO, Lucio;LEONORI, TOMMASO;
2010
Abstract
In this paper we deal with a nonlinear elliptic problem, whose model is { -Delta u = B vertical bar u vertical bar 2/u + f in Omega, u = 0 on partial derivative Omega, where B > 0 and f >= 0 belongs to a Lebesgue space. We prove the existence of positive solutions in suitable Sobolev spaces (depending on f and B). (C) 2010 Elsevier Inc. All rights reserved.File allegati a questo prodotto
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