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On the convexity of geometric functional of level for solutions of certain elliptic partial differential equations

https://doi.org/10.1007/bf00945002
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4612-4656-5_13openalex-snapshot
Convexity Properties of Solutions to Elliptic P.D.E.’S
inferredcites →https://doi.org/10.1007/978-3-642-55925-9_36openalex-snapshot
On Extensions of the Brunn-Minkowski and Prékopa-Leindler Theorems, Including Inequalities for Log Concave Functions, and with an Application to the Diffusion Equation
inferredcites →https://doi.org/10.1007/978-3-642-61798-0openalex-snapshot
Elliptic Partial Differential Equations of Second Order
inferredcites →https://doi.org/10.1007/978-3-642-62010-2openalex-snapshot
Geometric Measure Theory
inferredcites →https://doi.org/10.1007/978-3-642-94702-5openalex-snapshot
Vorlesungen Über Inhalt, Oberfläche und Isoperimetrie
inferredcites →https://doi.org/10.1007/bf00250671openalex-snapshot
Capacitary functions in convex rings
inferredcites →https://doi.org/10.1007/bf00279844openalex-snapshot
Convex solutions of certain elliptic equations have constant rank hessians
inferredcites →https://doi.org/10.1007/bf01203612openalex-snapshot
�ber ein Minimalproblem der mathematischen Physik
inferredcites →https://doi.org/10.1007/bf01277607openalex-snapshot
Plateau's problem for H-convex curves
inferredcites →https://doi.org/10.1007/bfb0075060openalex-snapshot
Rearrangements and Convexity of Level Sets in PDE
inferredcites →https://doi.org/10.1016/0022-1236(76)90004-5openalex-snapshot
On extensions of the Brunn-Minkowski and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
inferredcites →https://doi.org/10.1016/c2013-0-11200-7openalex-snapshot
Geometric Measure Theory
inferredcites →https://doi.org/10.1017/cbo9780511566172openalex-snapshot
Convexity
inferredcites →https://doi.org/10.1090/s0002-9939-1983-0718988-8openalex-snapshot
Starshapedness of Level Sets for the Obstacle Problem and for the Capacitory Potential Problem
inferredcites →https://doi.org/10.1137/0519028openalex-snapshot
Some Isoperimetric Inequalities for the Level Curves of Capacity and Green’s Functions on Convex Plane Domains
inferredcites →https://doi.org/10.1215/s0012-7094-81-04827-4openalex-snapshot
Directional derivative of the increasing rearrangement mapping and application to a queer differential equation in plasma physics
inferredcites →https://doi.org/10.1215/s0012-7094-85-05221-4openalex-snapshot
Convexity of solutions of semilinear elliptic equations
inferredcites →https://doi.org/10.2307/1969991openalex-snapshot
On Surfaces of Stationary Area Bounded by Two Circles, or Convex Curves, in Parallel Planes

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Differential inequalities for Minkowski functionals of level sets
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Isoperimetric inequalities for the length of level lines of solutions of quasilinear capacity problems in the plane
inferred← citeshttps://doi.org/10.1007/s00526-021-02109-zopenalex-snapshot
Isoperimetric inequalities and geometry of level curves of harmonic functions on smooth and singular surfaces
inferred← citeshttps://doi.org/10.1007/s00526-023-02651-yopenalex-snapshot
Isoperimetric inequalities and regularity of A-harmonic functions on surfaces
inferred← citeshttps://doi.org/10.1007/s10955-011-0200-4openalex-snapshot
Microcanonical Entropy and Dynamical Measure of Temperature for Systems with Two First Integrals
inferred← citeshttps://doi.org/10.1016/j.aop.2016.10.017openalex-snapshot
On the dispute between Boltzmann and Gibbs entropy
inferred← citeshttps://doi.org/10.1016/j.jde.2025.113296openalex-snapshot
Some geometric relations for equipotential curves
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Topology and phase transitions I. Preliminary results
inferred← citeshttps://doi.org/10.1016/j.nuclphysb.2007.04.035openalex-snapshot
Topology and phase transitions II. Theorem on a necessary relation
inferred← citeshttps://doi.org/10.1016/j.physa.2017.12.059openalex-snapshot
Microcanonical entropy for classical systems
inferred← citeshttps://doi.org/10.1088/1751-8121/ac7f09openalex-snapshot
Topological theory of phase transitions
inferred← citeshttps://doi.org/10.1103/physreve.61.5171openalex-snapshot
Hamiltonian dynamics and geometry of phase transitions in classical XY models
inferred← citeshttps://doi.org/10.1103/physreve.71.036152openalex-snapshot
Topology and phase transitions: From an exactly solvable model to a relation between topology and thermodynamics
inferred← citeshttps://doi.org/10.1103/physreve.85.050101openalex-snapshot
Geometric microcanonical thermodynamics for systems with first integrals
inferred← citeshttps://doi.org/10.1103/physrevlett.92.060601openalex-snapshot
Theorem on the Origin of Phase Transitions
inferred← citeshttps://doi.org/10.2422/2036-2145.201201_010openalex-snapshot
The geometry of planar p-harmonic mappings: convexity, level curves and the isoperimetric inequality
inferred← citeshttps://doi.org/10.3390/e22040380openalex-snapshot
Geometrical Aspects in the Analysis of Microcanonical Phase-Transitions
inferred← citeshttps://doi.org/10.3934/cpaa.2015.14.959openalex-snapshot
On the variational $p$-capacity problem in the plane
inferred← citeshttps://doi.org/10.48550/arxiv.1309.3487openalex-snapshot
Geometric Capacity Potentials on Convex Plane Rings
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