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Abstract:

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 establish existence and regularity results for stable solutions. These results generalize the classical results obtained when b(x) = b is a constant function making the problem variational after a suitable transformation. © 2016 Texas State University.

Registro:

Documento: Artículo
Título:Stable solutions for equations with a quadratic gradient term
Autor:Terra, J.
Filiación:Departamento de Matemática, Fceyn, and Imas-Conicet, UBA, Buenos Aires, 1428, Argentina
Palabras clave:Non-variational problem; Stable solution
Año:2016
Volumen:2016
Título revista:Electronic Journal of Differential Equations
Título revista abreviado:Electron. J. Differ. Equ.
ISSN:10726691
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2016_n_p_Terra

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Citas:

---------- APA ----------
(2016) . Stable solutions for equations with a quadratic gradient term. Electronic Journal of Differential Equations, 2016.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2016_n_p_Terra [ ]
---------- CHICAGO ----------
Terra, J. "Stable solutions for equations with a quadratic gradient term" . Electronic Journal of Differential Equations 2016 (2016).
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2016_n_p_Terra [ ]
---------- MLA ----------
Terra, J. "Stable solutions for equations with a quadratic gradient term" . Electronic Journal of Differential Equations, vol. 2016, 2016.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2016_n_p_Terra [ ]
---------- VANCOUVER ----------
Terra, J. Stable solutions for equations with a quadratic gradient term. Electron. J. Differ. Equ. 2016;2016.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2016_n_p_Terra [ ]