BOUNDARY CONCENTRATION IN RADIAL SOLUTIONS TO A SYSTEM OF SEMILINEAR ELLIPTIC EQUATIONS |
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| Authors: | D'Aprile Teresa; Wei Juncheng |
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| Institution: | Dipartimento di Matematica via E. Orabona 4, 70125 Bari, Italy daprile{at}dm.uniba.it
Department of Mathematics, The Chinese University of Hong Kong Shatin, Hong Kong wei{at}math.cuhk.edu.hk |
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| Abstract: | We study concentration phenomena for the system
 in the unit ball B1 of  3 with Dirichlet boundaryconditions. Here  ,  ,  > 0 and p > 1. We prove the existenceof positive radial solutions ( ,  ) such that concentrates ata distance (/2)|log | away from the boundary  B1 as the parameter tends to 0. The approach is based on a combination of Lyapunov–Schmidtreduction procedure together with a variational method. |
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| Keywords: | |
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