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"The mathematician does not study pure mathematics because it is useful; he studies it because he delights in it and he delights in it because it is beautiful." - Henry Poincaré

About me

David completed his PhD at Sapienza Università di Roma (2023) under the direction of Filomena Pacella. After the completion of his Phd, David has held postdoctoral positions at Technion (Haifa, Israel) and Coimbra University (Coimbra, Portugal). David has been focusing his attention in fully nonlinear elliptic PDE's, in particular the study of regularity theory for transmission problems and existence results for the fully nonlinear Lane-Emden equation.

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Publications

Papers submitted to scientific journals

Boundary regularity for a fully nonlinear free transmission problem - JESUS, David, PIMENTEL, Edgard, STOLNICKI, David (2024)

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Differentiability of solutions for a degenerate fully nonlinear free transmission problem - PIMENTEL, Edgard, STOLNICKI, David (2024)

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Papers published to scientific journals

A symmetry result for fully nonlinear problems in exterior domains - Stolnicki, David, NoDEA Nonlinear Differential Equations Appl. (2024)

Oscillatory solutions and critical exponents for fully nonlinear equations - Pacella, Filomena; Stolnicki, David - Electron. J. Differential Equations (2021)

On a class of fully nonlinear elliptic equations in dimension two - Pacella, Filomena; Stolnicki, David - J. Differential Equations (2021)

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Talks

July 2024 - Plenary Lecture, Satellite Conference Regularity Theory and Free Boundary Problems: from PDE to Interfaces, Coimbra, Portugal.
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July 2024 - Talk at the Encontro Nacional da SPM 2024,Universidade do Minho, Braga, Portugal
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June 2024 - Talk at the PDE and Applied Mathematics Seminar, Technion Israel Institute of Technology, Haifa, Israel
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April 2024 - Talk at the Nonlinear Analysis and Optimization Seminar, Technion Israel Institute of Technology, Haifa, Israel
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2023 - Online talk at the CMUC, University of Coimbra, Coimbra, Portugal
2022 - Online talk at the CMM, Universidad de Chile, Santiago, Chile
2021 - Talk at the P/N(p) seminary, Sapienza Universit`a di Roma, Rome

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Department of Mathematics - University of Coimbra
3001 – 501 Coimbra, Portugal