The length of level lines of solutions of elliptic equations in the plane

DOI10.1007/BF00251498zbMath0664.35016MaRDI QIDQ1114851

Giovanni Alessandrini

Publication date: 1988

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

critical pointsestimateintegration by partsgradient boundssmooth coefficientsuniformly elliptic

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stability in context of PDEs (35B35) Second-order elliptic equations (35J15)

Related Items (7)

Enforcing Local Non-Zero Constraints in PDEs and Applications to Hybrid Imaging Problems ⋮ Isoperimetric inequalities and geometry of level curves of harmonic functions on smooth and singular surfaces ⋮ Upper bound of critical sets of solutions of elliptic equations in the plane ⋮ Some geometric conjectures in harmonic function theory ⋮ Isoperimetric inequalities for the length of level lines of solutions of quasilinear capacity problems in the plane ⋮ Optimal stability for the inverse problem of multiple cavities ⋮ On the Local Behaviour Of Nodes Of Solutions Of SchröDinger Equations In Dimensions 3

Cites Work

• An identification problem for an elliptic equation in two variables
• One metric property of the solutions of elliptic equations on a plane
• On the Local Behavior of Solutions of Non-Parabolic Partial Differential Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The length of level lines of solutions of elliptic equations in the plane