Kawohl, Bernhard Geometrical properties of level sets of solutions of elliptic problems. (English) Zbl 0597.35016 Nonlinear functional analysis and its applications, Proc. Summer Res. Inst., Berkeley/Calif. 1983, Proc. Symp. Pure Math. 45/2, 25-36 (1986). Some geometric properties of level sets of solutions of elliptic problems are considered. Generalized concavity properties, such as convexity or star-shapedness of level sets, are known for some elliptic boundary value problems.[For the entire collection see Zbl 0583.00018.] Reviewer: W.Okrasiński Cited in 4 Documents MSC: 35F20 Nonlinear first-order PDEs 35B50 Maximum principles in context of PDEs 35J25 Boundary value problems for second-order elliptic equations 26D10 Inequalities involving derivatives and differential and integral operators Keywords:geometrical properties; level sets of solutions PDF BibTeX XML