THE DIRICHLET PROBLEMS FOR NONLINEAR ELLIPTIC EQUATIONS WITH VARIABLE EXPONENTS ON RIEMANNIAN MANIFOLDS

Lifeng Guo

doi:10.11948/2015043

2015 Volume 5 Issue 4

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Lifeng Guo. THE DIRICHLET PROBLEMS FOR NONLINEAR ELLIPTIC EQUATIONS WITH VARIABLE EXPONENTS ON RIEMANNIAN MANIFOLDS[J]. Journal of Applied Analysis & Computation, 2015, 5(4): 562-569. doi: 10.11948/2015043

Citation:

Lifeng Guo. THE DIRICHLET PROBLEMS FOR NONLINEAR ELLIPTIC EQUATIONS WITH VARIABLE EXPONENTS ON RIEMANNIAN MANIFOLDS[J]. Journal of Applied Analysis & Computation, 2015, 5(4): 562-569. doi: 10.11948/2015043

THE DIRICHLET PROBLEMS FOR NONLINEAR ELLIPTIC EQUATIONS WITH VARIABLE EXPONENTS ON RIEMANNIAN MANIFOLDS

Lifeng Guo

School of Mathematics and Statistics, Northeast Petroleum University, Heilongjiang, 163318 Daqing, China

Fund Project:

Abstract

Abstract

In this paper, after discussing the properties of the Nemytsky operator, we obtain the existence of weak solutions for Dirichlet problemss of non-homogeneous p(m)-harmonic equations.
- Variable exponent /
- Riemannian manifold /
- Nemytsky operator
MSC: 30G35;58J05;35J60;35D30

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References

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