Obstacle Problems for Scalar Ginzburg-Landau Equations
Keywords:
Laplacian operator;obstacle problem;free boundary;positive solutionAbstract
In this note, we establish some estimates of solutions of the scalar Ginzburg-Landau equation and other nonlinear Laplacian equation Δu = f(x, u). This will give an estimate of the Hausdorff dimension for the free boundary of the obstacle problem.Published
2004-02-02
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Obstacle Problems for Scalar Ginzburg-Landau Equations. (2004). Journal of Partial Differential Equations, 17(1), 49-56. https://www.global-sci.com/index.php/jpde/article/view/4017