SOME SPECIAL SOLUTIONS FOR DIVERGENCE STRUCTURE QUASILINEAR EQUATION

Guanghua Shi

doi:10.11948/2015051

2015 Volume 5 Issue 4

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Guanghua Shi. SOME SPECIAL SOLUTIONS FOR DIVERGENCE STRUCTURE QUASILINEAR EQUATION[J]. Journal of Applied Analysis & Computation, 2015, 5(4): 651-661. doi: 10.11948/2015051

Citation:

Guanghua Shi. SOME SPECIAL SOLUTIONS FOR DIVERGENCE STRUCTURE QUASILINEAR EQUATION[J]. Journal of Applied Analysis & Computation, 2015, 5(4): 651-661. doi: 10.11948/2015051

SOME SPECIAL SOLUTIONS FOR DIVERGENCE STRUCTURE QUASILINEAR EQUATION

Guanghua Shi

School of Mathematical Sciences, Fudan University, Handan Street, 200433 Shanghai, People's Republic of China

Abstract

Abstract

We consider the divergence structure quasilinear equation -diva(∇u)=f(x, u, ∇u), which is not a variational equation. By applying the method of Galerkin approximation, we give some special solutions of the above equation.
- Nonvariational elliptic equations /
- plane-like solutions /
- topological method
MSC: 37J45

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References

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