A Short Presentation of Emmanuele’s Work

DOI10.1007/978-3-030-73778-8_2zbMath1473.35010OpenAlexW3168377007MaRDI QIDQ5152996

Ugo Gianazza, Daniele Andreucci

Publication date: 28 September 2021

Published in: Harnack Inequalities and Nonlinear Operators (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-73778-8_2

zbMATH Keywords

Stefan problemsemilinear elliptic equationbiomathematicsintrinsic scalingphototransductionDeGiorgi's class

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) A priori estimates in context of PDEs (35B45) History of partial differential equations (35-03) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Cites Work

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• Sharp exponents and a Wiener type condition for boundary regularity of quasiminimizers
• A quantitative modulus of continuity for the two-phase Stefan problem
• Harnack inequalities for quasi-minima of variational integrals
• Continuity of weak solutions to certain singular parabolic equations
• Interior and boundary continuity of the solution of the singular equation \((\beta(u))_T =\mathcal L_u\).
• On the singular equation \(\beta (u)_ t=\Delta u\)
• Continuity of weak solutions of a singular parabolic equation
• Homogenization and concentrated capacity for the heat equation with non-linear variational data in reticular almost disconnected structures and applications to visual transduction
• Linear and quasilinear elliptic equations
• Implicit Degenerate Evolution Equations and Applications
• Attraction des ellipsoïdes homogènes et réciproques d'un théorème de Newton
• Existence and Boundary Regularity for Degenerate Phase Transitions
• Homogenization and concentration of capacity in the rod outer segment with incisures
• Classical Mechanics
• A Wiener-type condition for boundary continuity of quasi-minima of variational integrals

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