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Asymptotic expansion of solutions to nonlinear elliptic eigenvalue problems |
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| Authors: | Tetsutaro Shibata |
| Affiliation: | Department of Applied Mathematics, Graduate School of Engineering, Hiroshima University, Higashi-Hiroshima, 739-8527, Japan |
| Abstract: | We consider the nonlinear eigenvalue problem  where  is an appropriately smooth bounded domain and  is a parameter. It is known that if  , then the corresponding solution  is almost flat and almost equal to  inside  . We establish an asymptotic expansion of  when  , which is explicitly represented by  . |
| Keywords: | Asymptotic expansion nonlinear elliptic eigenvalue problems |
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