In this note we prove an Hardy type inequality with a remainder term, where the potential depends only on a group of variables. Such a result allows us to show the existence of entropy solutions to a class of elliptic P.D.E.'s.
Brandolini, B., Chiacchio, F., Trombetti, C. (2007). Some remarks on nonlinear elliptic problems involving hardy potentials. HOUSTON JOURNAL OF MATHEMATICS, 33(2), 617-630.
Some remarks on nonlinear elliptic problems involving hardy potentials
Brandolini, B;
2007-01-01
Abstract
In this note we prove an Hardy type inequality with a remainder term, where the potential depends only on a group of variables. Such a result allows us to show the existence of entropy solutions to a class of elliptic P.D.E.'s.
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