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Volume 17, Issue 1
Obstacle Problems for Scalar Ginzburg-Landau Equations

Li Ma & Ning Su

J. Part. Diff. Eq., 17 (2004), pp. 49-56.

Published online: 2004-02

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  • Abstract
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.
  • Keywords

Laplacian operator obstacle problem free boundary positive solution

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@Article{JPDE-17-49, author = {Li Ma and Ning Su }, title = {Obstacle Problems for Scalar Ginzburg-Landau Equations}, journal = {Journal of Partial Differential Equations}, year = {2004}, volume = {17}, number = {1}, pages = {49--56}, abstract = { 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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5375.html} }
TY - JOUR T1 - Obstacle Problems for Scalar Ginzburg-Landau Equations AU - Li Ma & Ning Su JO - Journal of Partial Differential Equations VL - 1 SP - 49 EP - 56 PY - 2004 DA - 2004/02 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5375.html KW - Laplacian operator KW - obstacle problem KW - free boundary KW - positive solution AB - 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.
Li Ma and Ning Su . (2004). Obstacle Problems for Scalar Ginzburg-Landau Equations. Journal of Partial Differential Equations. 17 (1). 49-56. doi:
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