Boundedness of the generalized solutions of elliptic equations with nonpower nonlinearities (Q1823383)
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scientific article; zbMATH DE number 4115110
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundedness of the generalized solutions of elliptic equations with nonpower nonlinearities |
scientific article; zbMATH DE number 4115110 |
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Boundedness of the generalized solutions of elliptic equations with nonpower nonlinearities (English)
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1987
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The author considers the Dirichlet problem for quasilinear divergence form elliptic equations of second order in bounded domains. Under suitable growth conditions on the coefficients (such as non-power nonlinearity) using De Giorgi's techniques he proves boundedness of the generalized solutions of the problem. The paper extends previous results of De Giorgi, Nash, Moser, Ladyzhenskaya e.a.
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generalized solutions
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bounded solutions
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de Giorgi technique
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divergence form
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non-power nonlinearity
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