Some elliptic problems with singular natural growth lower order terms

[摘要] 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.

[发布日期] 2010-12-01

[关键词] Nonlinear elliptic equations;Singular natural growth gradient terms;Boundary condition