Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities. (Q1861106)
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scientific article; zbMATH DE number 1881296
| Language | Label | Description | Also known as |
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| English | Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities. |
scientific article; zbMATH DE number 1881296 |
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Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities. (English)
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2002
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The paper has essentially two main goals. The first one is to prove Liouville type results for degenerate problems of the type \[ \Delta_mu + f(u) = 0, \;\;u\geq 0 \] in a connected open set, considering also in particular the case \[ f(u) = u^{p-1},\;p>1. \] The second one is to derive universal estimates for the solutions of the previous problem, where universal means in particular independent from boundary conditions.
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nonlinear elliptic equations
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Liouville type properties
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a priori estimates
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