A comparison principle for quasilinear operators in unbounded domains |
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| Authors: | Evgeny Galakhov |
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| Affiliation: | aSteklov Mathematical Institute, Russian Academy of Sciences, Gubkina Street 8, 119991, Moscow, Russia |
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| Abstract: | We establish a comparison principle for quasilinear elliptic operators in unbounded cylindrical domains by combining the traditional test function method with nonlinear capacity techniques. Some applications to monotonicity and symmetry of solutions to nonlinear elliptic problems are given. |
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| Keywords: | Comparison principle Quasilinear operator Nonlinear capacity |
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