Hadamard variational formulas for p-torsion and p-eigenvalue with applications |
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| Authors: | Yong Huang Changzhen Song Lu Xu |
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| Affiliation: | 1.College of Mathematics and Econometrics,Hunan University,Changsha,China;2.Wuhan Institute of Physics and Mathematics,Chinese Academy of Sciences,Wuhan,China |
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| Abstract: | ![]()
In this paper, we pose two kinds of Minkowski problems involving the p-Laplacian operator. The Hadamard variational formulas for some p-Laplacian functionals are obtained. A good application is to prove symmetry results for solutions to some overdetermined problems of p-Laplacian equations. |
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