Existence of solutions for a nonlinear PDE with an inverse square potential |
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| Authors: | Jianqing Chen |
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| Institution: | a Department of Mathematics, Fujian Normal University, Fuzhou 350007, People's Republic of China
b Institute of Mathematics, Academy of Mathematics and System Science, Academia Sinica, Beijing 100080, People's Republic of China |
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| Abstract: | Via Linking theorem and delicate energy estimates, the existence of nontrivial solutions for a nonlinear PDE with an inverse square potential and critical sobolev exponent is proved. This result gives a partial (positive) answer to an open problem proposed in Ferrero and Gazzola (J. Differential Equations 177 (2001) 494). |
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| Keywords: | 35J20 35J70 |
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