Infinitely Many Solutions of p-Laplacian Equations With Limit Sub-Critical Growth

GENG Di

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GENG Di. Infinitely Many Solutions of p-Laplacian Equations With Limit Sub-Critical Growth[J]. Applied Mathematics and Mechanics, 2007, 28(10): 1223-1231.

Citation:

GENG Di. Infinitely Many Solutions of p-Laplacian Equations With Limit Sub-Critical Growth[J]. Applied Mathematics and Mechanics, 2007, 28(10): 1223-1231.

Citation:

GENG Di. Infinitely Many Solutions of p-Laplacian Equations With Limit Sub-Critical Growth[J]. Applied Mathematics and Mechanics, 2007, 28(10): 1223-1231.

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Infinitely Many Solutions of p-Laplacian Equations With Limit Sub-Critical Growth

GENG Di

School of Mathematical Sciences, South China Normal University, Guangzhou 510631, P. R. China

Received Date: 2006-04-21
Rev Recd Date: 2007-07-30
Publish Date: 2007-10-15

Abstract

Abstract

A class of p-Laplacian boundary problem on a bounded smooth domain was discussed.The nonlinearity is odd symmetric and limit sub-critical gro wth at infinite.A sequence of critical values of the variational functional was constructed after the generalized Palais-Smale condition was verified.It is obtained that the problem possesses infinitely many solutions and corresponding energy levels of the functional pass to positive infinite.The result is a generalization of the similar problem in case of subcritical.
- p-Laplacian operator,
- limit sub-critical growth,
- conce ntration-compactness principle,
- Palais-Smale condition,
- asymptotic minimax principle

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References(10)

References

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