# THE FIRST EIGENVALUE OF SOME (p, q)-LAPLACIAN AND GEOMETRIC ESTIMATES

• Azami, Shahroud (Department of Mathematics Faculty of Sciences Imam Khomeini International University)
• Accepted : 2017.08.17
• Published : 2018.01.31

#### Abstract

We study the nonlinear eigenvalue problem for some of the (p, q)-Laplacian on compact manifolds with zero boundary condition. In particular, we obtain some geometric estimates for the first eigenvalue.

#### References

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