Isoperimetric inequalities for the length of level lines of solutions of quasilinear capacity problems in the plane

DOI10.1007/BF00945812zbMath0712.35034OpenAlexW1977785593MaRDI QIDQ923820

Giovanni Alessandrini

Publication date: 1989

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00945812

zbMATH Keywords

minimal surface equationisoperimetric inequalitieslength of level curves

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (4)

Isoperimetric inequalities and geometry of level curves of harmonic functions on smooth and singular surfaces ⋮ Isoperimetric inequalities and regularity of \(a\)-harmonic functions on surfaces ⋮ Unnamed Item ⋮ On the variational \(p\)-capacity problem in the plane

Cites Work

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• The length of level lines of solutions of elliptic equations in the plane
• On the convexity of geometric functionals of level for solutions of certain elliptic partial differential equations
• Some Isoperimetric Inequalities for the Level Curves of Capacity and Green’s Functions on Convex Plane Domains
• On the Local Behavior of Solutions of Non-Parabolic Partial Differential Equations
• On minimal surfaces bounded by two convex curves in parallel planes

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