On higher order elliptic and parabolic inequalities with singularities on the boundary |
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Authors: | E I Galakhov |
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Institution: | 1.Steklov Mathematical Institute,Russian Academy of Sciences,Moscow,Russia |
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Abstract: | We prove the nonexistence of solutions to a number of higher order quasilinear elliptic and parabolic partial differential
inequalities in bounded domains with point singularities on the boundary. The results are extended to systems of such inequalities.
The proofs are based on the method of nonlinear capacity. We also present examples showing that the conditions obtained are
sharp in the class of problems under consideration. |
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Keywords: | |
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