Alt-Caffarelli-Friedman monotonicity formula and mean value properties in Carnot groups with applications
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Publication:6564815
DOI10.1007/S40574-023-00393-5zbMATH Open1542.35403MaRDI QIDQ6564815
Fausto Ferrari, Nicolò Forcillo
Publication date: 1 July 2024
Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)
Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Free boundary problems for PDEs (35R35) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)
Cites Work
- Title not available (Why is that?)
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- Mean value properties of solutions to parabolic equations with variable coefficients
- Mean value theorem and a maximum principle for Kolmogorov's equation
- On the structure of finite perimeter sets in step 2 Carnot groups
- Elliptic partial differential equations of second order
- Recent results on nonlinear elliptic free boundary problems
- A new glance to the Alt-Caffarelli-Friedman monotonicity formula
- Hypoelliptic second order differential equations
- Maggioranti e minoranti delle soluzioni delle equazioni paraboliche
- Sulla soluzione generalizzata di Wiener per il primo problema di valori al contorno nel caso parabolico
- Stratified Lie Groups and Potential Theory for their Sub-Laplacians
- Harnack's Inequality for Sum of Squares of Vector Fields Plus a Potential
- Variational problems with two phases and their free boundaries
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- A Mean Value Theorem for the Heat Equation
- Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces
- The Fundamental Solution of a Degenerate Partial Differential Equation of Parabolic Type
- A counterexample to the monotone increasing behavior of an Alt-Caffarelli-Friedman formula in the Heisenberg group
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