TY - JOUR
T1 - Obstacle Problems for Scalar Ginzburg-Landau Equations
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.