Stable solutions for equations with a quadratic gradient term

We consider positive solutions to the non-variational family of Equations-△u-b(x)|∇u|2=λg(u) in Ω where λ ≥ 0, b(x) is a given function, g is an increasing nonlinearity with g(0) > 0 and Ω ℝn is a bounded smooth domain. We introduce the definition of stability for non-variational problems and...

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Publicado: 2016
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2016_n_p_Terra
http://hdl.handle.net/20.500.12110/paper_10726691_v2016_n_p_Terra
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