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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

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