A nonlinear bounday value problem for a nonlinear ordinary differential operator in weighted Sobolev spaces.
Long, N.T., Dung, B.T., Thuyet, T.M. (2000)
Zeitschrift für Analysis und ihre Anwendungen
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Displaying similar documents to “On imbeddings of weighted Sobolev spaces on an unbounded domain.”
A nonlinear bounday value problem for a nonlinear ordinary differential operator in weighted Sobolev spaces.
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In this paper we obtain a more general inequality with respect to a well known inequality due to Gagliardo (see [4], [5]). The inequality contained in [4], [5] has been extended to weighted spaces, obtained as cartesian product of measurable spaces. As application, we obtain a first order weighted Sobolev inequality. This generalize a previous result obtained in [2].