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首页> 外文期刊>Journal of applied and industrial mathematics >On the existence of nonnegative solutions to the Dirichlet boundary value problem for the p-Laplace equation in the presence of exterior mass forces
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On the existence of nonnegative solutions to the Dirichlet boundary value problem for the p-Laplace equation in the presence of exterior mass forces

机译:存在外力的情况下p-Laplace方程Dirichlet边值问题的非负解的存在

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摘要

We consider the Dirichlet problem for an inhomogeneous p-Laplace equation with nonlinear source in the presence of exterior mass forces.We obtain new sufficient conditions for the existence of a weak nonnegative bounded solution. The sufficient conditions are written in explicit form through the data of the problem.
机译:在存在外部质量力的情况下,我们考虑了带有非线性源的非齐次p-Laplace方程的Dirichlet问题,并为存在弱非负有界解提供了新的充分条件。充分条件通过问题数据以显式形式编写。

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