Existence and regularity of solutions to semi-linear Dirichlet problem of infinitely degenerate elliptic operators with singular potential term |
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Authors: | Hua Chen Peng Luo ShuYing Tian |
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Institution: | 14588. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China
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Abstract: | In this paper, we study the Dirichlet problem for a class of semi-linear infinitely degenerate elliptic equations with singular potential term. By using the logarithmic Sobolev inequality and Hardy’s inequality, the existence and regularity of multiple nontrivial solutions have been proved. |
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