ON MULTIPLE POSITIVE SOLUTIONS FOR A NONLINEAR ELLIPTIC PROBLEM IN R^N

Citation:

YANG Haitao,WU Shaoping.ON MULTIPLE POSITIVE SOLUTIONS FOR A NONLINEAR ELLIPTIC PROBLEM IN R^N[J].Chinese Annals of Mathematics B,2000,21(3):351~358
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Authors:

YANG Haitao; WU Shaoping

Foundation:

Project supported by the National Natural Science Foundation of China (No. 19771072) and Cao Guangbiao Fund of Zhejiang University.
Abstract: By making use of variational method, the authors obtain some results about existence of multiple positive solutions and their asymptotic behavior as the parameter $\lambda \to +\infty $ for a semilinear elliptic problem in $R^N$.

Keywords:

Critical point, Asymptotic behavior, Concentration

Classification:

35A15, 35J05, 46N20
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