Monotonicity conditions for a class of quasilinear differential operators depending on parameters (Q2342381)
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| Language | Label | Description | Also known as |
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| English | Monotonicity conditions for a class of quasilinear differential operators depending on parameters |
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Monotonicity conditions for a class of quasilinear differential operators depending on parameters (English)
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11 May 2015
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The author finds necessary and sufficient monotonicity conditions for the operator equation \[ A_\lambda \equiv -\sum_{i=1}^n D_i\bigl(\lambda_i| Du(x)|^{p-2} D_iu(x)\bigr)=f(x) \] under homogeneous conormal boundary condition, where \(p>2\) and \(\lambda_i\) are positive parameters.
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quasilinear differential operator
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monotonicity conditions for a differential operator
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Lebesgue space
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Lipschitz boundary
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conditional extremum problem
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