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Volume 5, Number 4, 2015, Pages 651-661
DOI：
10.11948/2015051
Some special solutions for divergence structure quasilinear equation
Guanghua Shi
Keywords
:
Nonvariational elliptic equations, plane-like solutions, topological and analytical methods
Abstract
:
We consider the divergence structure quasilinear equation−div⃗a(∇u) = f(x, u,∇u),which is not a variational equation. By applying the method of Galerkinapproximation, we give some special solutions of the above equation.
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