A convexity problem for a semi-linear PDE

DOI10.1080/00036811.2019.1667981zbMath1470.35440OpenAlexW2974368095WikidataQ127232382 ScholiaQ127232382MaRDI QIDQ4989440

Layan El Hajj

Publication date: 25 May 2021

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2019.1667981

zbMATH Keywords

uniquenessconvexityfree boundarystar-shapednessradial supersolution

Mathematics Subject Classification ID

Free boundary problems for PDEs (35R35) Semilinear elliptic equations (35J61) Comparison principles in context of PDEs (35B51)

Related Items (1)

Remarks on the convexity of free boundaries (Scalar and system cases)

Cites Work

• Unnamed Item
• Unnamed Item
• On the convexity of some free boundaries
• Convexity of solutions of semilinear elliptic equations
• Recent trends in free boundary regularity
• Convexity of level sets for elliptic problems in convex domains or convex rings: Two counterexamples
• The Free Boundary of a Semilinear Elliptic Equation
• Compactness methods in free boundary problems
• Quasi–concave envelope of a function and convexity of level sets of solutions to elliptic equations
• On viscosity solutions of fully nonlinear equations with measurable ingredients
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

This page was built for publication: A convexity problem for a semi-linear PDE