{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T01:19:40Z","timestamp":1760059180202,"version":"build-2065373602"},"reference-count":39,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2025,5,30]],"date-time":"2025-05-30T00:00:00Z","timestamp":1748563200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>We investigate the behavior of solutions of second-order elliptic Dirichlet problems for a convex domain by using a \u201cgliding hump\u201d technique and prove that there are no contour limits at a specified point of the boundary of the domain. Then we consider two-dimensional domains which have a reentrant (i.e., nonconvex) corner at a point P of the boundary of the domain. Assuming certain comparison functions exist, we prove that for any solution of an appropriate Dirichlet problem on the domain whose graph has finite area, there are infinitely many curves of finite length in the domain ending at P along which the solution has a limit at P. We then prove that such behavior occurs for quasilinear operations with positive genre.<\/jats:p>","DOI":"10.3390\/axioms14060425","type":"journal-article","created":{"date-parts":[[2025,5,30]],"date-time":"2025-05-30T06:14:27Z","timestamp":1748585667000},"page":"425","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Contour Limits and a \u201cGliding Hump\u201d Argument"],"prefix":"10.3390","volume":"14","author":[{"given":"Ammar","family":"Khanfer","sequence":"first","affiliation":[{"name":"Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia"}]},{"given":"Kirk Eugene","family":"Lancaster","sequence":"additional","affiliation":[{"name":"Independent Researcher, Wichita, KS 67226, USA"}]}],"member":"1968","published-online":{"date-parts":[[2025,5,30]]},"reference":[{"key":"ref_1","unstructured":"Gilbarg, D., and Trudinger, N.S. (1983). 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