Existence,uniqueness, and nondegeneracy of positive solutions of semilinear elliptic equations |
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| Authors: | Joel A Smoller Arthur G Wasserman |
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| Institution: | (1) Department of Mathematics, The University of Michigan, 48109-1003 Ann Arbor, MI, USA |
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| Abstract: | We study positive solutions of the Dirichlet problem:  u(x)+f(u(x))=0,x D
n
,u(x)=0,x D
n
, whereD
n
is ann-ball. We find necessary and sufficient conditions for solutions to be nondegenerate. We also give some new existence and uniqueness theorems.Research supported in part by NSF Contract Number MCS 80-02337 |
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| Keywords: | |
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