Challal, S.2025-03-212025-03-212012-05-22S. Challal (2013) Continuity of the free boundary in a non-degenerate p- obstacle problem type with monotone solution, Applicable Analysis, 92:7, 1462-1473, DOI: 10.1080/00036811.2012.6837870003-68111563-504Xhttps://doi.org/10.1080/00036811.2012.683787https://hdl.handle.net/10315/42682This is an Accepted Manuscript of an article published by Taylor & Francis in Applicable Analysis on 22 May 2012, available at: https://doi.org/10.1080/00036811.2012.683787.We prove the continuity of the free boundary for a non-degenerate p-obstacle problem with monotone solution. The proof uses techniques of comparison and the growth of the solution near free boundary points.enApplied MathematicsPure MathematicsMathematical SciencesVariational methodsPositive solutionsNonlinear elliptic equationsArticle