Biagi, Stefano; Dipierro, Serena; Valdinoci, Enrico; Vecchi, Eugenio A Hong-Krahn-Szegö inequality for mixed local and nonlocal operators. (English) Zbl 07817649 Math. Eng. (Springfield) 5, No. 1, Paper No. 14, 25 p. (2023). MSC: 35-XX 49-XX PDFBibTeX XMLCite \textit{S. Biagi} et al., Math. Eng. (Springfield) 5, No. 1, Paper No. 14, 25 p. (2023; Zbl 07817649) Full Text: DOI arXiv
Biagi, Stefano; Dipierro, Serena; Valdinoci, Enrico; Vecchi, Eugenio A Faber-Krahn inequality for mixed local and nonlocal operators. (English) Zbl 1523.35228 J. Anal. Math. 150, No. 2, 405-448 (2023). MSC: 35P05 35J25 35R11 PDFBibTeX XMLCite \textit{S. Biagi} et al., J. Anal. Math. 150, No. 2, 405--448 (2023; Zbl 1523.35228) Full Text: DOI arXiv OA License
Biagi, Stefano; Dipierro, Serena; Valdinoci, Enrico; Vecchi, Eugenio Mixed local and nonlocal elliptic operators: regularity and maximum principles. (English) Zbl 1486.35412 Commun. Partial Differ. Equations 47, No. 3, 585-629 (2022). MSC: 35R11 35A01 35B50 35B65 35J15 PDFBibTeX XMLCite \textit{S. Biagi} et al., Commun. Partial Differ. Equations 47, No. 3, 585--629 (2022; Zbl 1486.35412) Full Text: DOI arXiv
Dipierro, Serena; Onoue, Fumihiko; Valdinoci, Enrico (Dis)connectedness of nonlocal minimal surfaces in a cylinder and a stickiness property. (English) Zbl 1484.58008 Proc. Am. Math. Soc. 150, No. 5, 2223-2237 (2022). MSC: 58E12 53A10 35R11 PDFBibTeX XMLCite \textit{S. Dipierro} et al., Proc. Am. Math. Soc. 150, No. 5, 2223--2237 (2022; Zbl 1484.58008) Full Text: DOI arXiv
Cavaterra, Cecilia; Dipierro, Serena; Gao, Zu; Valdinoci, Enrico Global gradient estimates for a general type of nonlinear parabolic equations. (English) Zbl 1483.35050 J. Geom. Anal. 32, No. 2, Paper No. 65, 37 p. (2022). MSC: 35B45 35B09 35B50 35K58 35R01 PDFBibTeX XMLCite \textit{C. Cavaterra} et al., J. Geom. Anal. 32, No. 2, Paper No. 65, 37 p. (2022; Zbl 1483.35050) Full Text: DOI arXiv
Dipierro, Serena; Poggesi, Giorgio; Valdinoci, Enrico A Serrin-type problem with partial knowledge of the domain. (English) Zbl 1462.35209 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 208, Article ID 112330, 44 p. (2021). MSC: 35N25 35J25 53A10 35B35 35A23 PDFBibTeX XMLCite \textit{S. Dipierro} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 208, Article ID 112330, 44 p. (2021; Zbl 1462.35209) Full Text: DOI arXiv
Cavaterra, Cecilia; Dipierro, Serena; Farina, Alberto; Gao, Zu; Valdinoci, Enrico Pointwise gradient bounds for entire solutions of elliptic equations with non-standard growth conditions and general nonlinearities. (English) Zbl 1458.35166 J. Differ. Equations 270, 435-475 (2021). Reviewer: Sergey G. Pyatkov (Khanty-Mansiysk) MSC: 35J60 35J70 35J75 35B65 PDFBibTeX XMLCite \textit{C. Cavaterra} et al., J. Differ. Equations 270, 435--475 (2021; Zbl 1458.35166) Full Text: DOI arXiv Link
Dipierro, Serena; Karakhanyan, Aram; Valdinoci, Enrico A free boundary problem driven by the biharmonic operator. (English) Zbl 1469.31007 Pure Appl. Anal. 2, No. 4, 875-942 (2020). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 31A30 31B30 35R35 PDFBibTeX XMLCite \textit{S. Dipierro} et al., Pure Appl. Anal. 2, No. 4, 875--942 (2020; Zbl 1469.31007) Full Text: DOI arXiv
Bucur, Claudia; Dipierro, Serena; Lombardini, Luca; Valdinoci, Enrico Minimisers of a fractional seminorm and nonlocal minimal surfaces. (English) Zbl 1458.35447 Interfaces Free Bound. 22, No. 4, 465-504 (2020). MSC: 35R11 26A33 53A10 49Q05 47J05 PDFBibTeX XMLCite \textit{C. Bucur} et al., Interfaces Free Bound. 22, No. 4, 465--504 (2020; Zbl 1458.35447) Full Text: DOI arXiv
Affili, Elisa; Dipierro, Serena; Valdinoci, Enrico Decay estimates in time for classical and anomalous diffusion. (English) Zbl 1447.35045 Wood, David R. (ed.) et al., 2018 MATRIX annals. Cham: Springer. MATRIX Book Ser. 3, 167-182 (2020). MSC: 35B40 35R11 35K90 35K20 PDFBibTeX XMLCite \textit{E. Affili} et al., MATRIX Book Ser. 3, 167--182 (2020; Zbl 1447.35045) Full Text: DOI arXiv
Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico Nonlocal minimal graphs in the plane are generically sticky. (English) Zbl 1450.49021 Commun. Math. Phys. 376, No. 3, 2005-2063 (2020). Reviewer: Giorgio Saracco (Trieste) MSC: 49Q05 53A10 PDFBibTeX XMLCite \textit{S. Dipierro} et al., Commun. Math. Phys. 376, No. 3, 2005--2063 (2020; Zbl 1450.49021) Full Text: DOI arXiv
Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico Definition of fractional Laplacian for functions with polynomial growth. (English) Zbl 1428.35660 Rev. Mat. Iberoam. 35, No. 4, 1079-1122 (2019). MSC: 35R11 PDFBibTeX XMLCite \textit{S. Dipierro} et al., Rev. Mat. Iberoam. 35, No. 4, 1079--1122 (2019; Zbl 1428.35660) Full Text: DOI arXiv Link
Dipierro, Serena; Valdinoci, Enrico; Vespri, Vincenzo Decay estimates for evolutionary equations with fractional time-diffusion. (English) Zbl 1461.35049 J. Evol. Equ. 19, No. 2, 435-462 (2019). MSC: 35B40 35R11 26A33 35K90 47J35 58D25 PDFBibTeX XMLCite \textit{S. Dipierro} et al., J. Evol. Equ. 19, No. 2, 435--462 (2019; Zbl 1461.35049) Full Text: DOI arXiv Link
Dipierro, Serena; Pinamonti, Andrea; Valdinoci, Enrico Classification of stable solutions for boundary value problems with nonlinear boundary conditions on Riemannian manifolds with nonnegative Ricci curvature. (English) Zbl 1416.58012 Adv. Nonlinear Anal. 8, 1035-1042 (2019). MSC: 58J32 58J05 53C24 PDFBibTeX XMLCite \textit{S. Dipierro} et al., Adv. Nonlinear Anal. 8, 1035--1042 (2019; Zbl 1416.58012) Full Text: DOI arXiv
Abatangelo, Nicola; Dipierro, Serena; Fall, Mouhamed Moustapha; Jarohs, Sven; Saldaña, Alberto Positive powers of the Laplacian in the half-space under Dirichlet boundary conditions. (English) Zbl 1407.35042 Discrete Contin. Dyn. Syst. 39, No. 3, 1205-1235 (2019). MSC: 35C05 35C15 35S15 35B50 PDFBibTeX XMLCite \textit{N. Abatangelo} et al., Discrete Contin. Dyn. Syst. 39, No. 3, 1205--1235 (2019; Zbl 1407.35042) Full Text: DOI arXiv
Dipierro, Serena; Pinamonti, Andrea; Valdinoci, Enrico Rigidity results in diffusion Markov triples. (English) Zbl 1408.58027 J. Funct. Anal. 276, No. 3, 785-814 (2019). Reviewer: Jean Picard (Aubière) MSC: 58J65 35G10 PDFBibTeX XMLCite \textit{S. Dipierro} et al., J. Funct. Anal. 276, No. 3, 785--814 (2019; Zbl 1408.58027) Full Text: DOI arXiv Link
Dipierro, Serena; Karakhanyan, Aram L. Stratification of free boundary points for a two-phase variational problem. (English) Zbl 1394.35585 Adv. Math. 328, 40-81 (2018). Reviewer: Wenhui Shi (Coimbra) MSC: 35R35 35J92 PDFBibTeX XMLCite \textit{S. Dipierro} and \textit{A. L. Karakhanyan}, Adv. Math. 328, 40--81 (2018; Zbl 1394.35585) Full Text: DOI arXiv
Dipierro, Serena; Maggi, Francesco; Valdinoci, Enrico Asymptotic expansions of the contact angle in nonlocal capillarity problems. (English) Zbl 1386.76046 J. Nonlinear Sci. 27, No. 5, 1531-1550 (2017). MSC: 76B45 76D45 45M05 PDFBibTeX XMLCite \textit{S. Dipierro} et al., J. Nonlinear Sci. 27, No. 5, 1531--1550 (2017; Zbl 1386.76046) Full Text: DOI arXiv
Dipierro, Serena; Karakhanyan, Aram; Valdinoci, Enrico A class of unstable free boundary problems. (English) Zbl 1368.35279 Anal. PDE 10, No. 6, 1317-1359 (2017). MSC: 35R35 PDFBibTeX XMLCite \textit{S. Dipierro} et al., Anal. PDE 10, No. 6, 1317--1359 (2017; Zbl 1368.35279) Full Text: DOI arXiv
Dipierro, Serena; Karakhanyan, Aram; Valdinoci, Enrico New trends in free boundary problems. (English) Zbl 1364.35444 Adv. Nonlinear Stud. 17, No. 2, 319-332 (2017). MSC: 35R35 35R11 PDFBibTeX XMLCite \textit{S. Dipierro} et al., Adv. Nonlinear Stud. 17, No. 2, 319--332 (2017; Zbl 1364.35444) Full Text: DOI arXiv
Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico Boundary behavior of nonlocal minimal surfaces. (English) Zbl 1358.49038 J. Funct. Anal. 272, No. 5, 1791-1851 (2017). Reviewer: Andrew Bucki (Edmond) MSC: 49Q05 35R11 53A10 PDFBibTeX XMLCite \textit{S. Dipierro} et al., J. Funct. Anal. 272, No. 5, 1791--1851 (2017; Zbl 1358.49038) Full Text: DOI arXiv
Dipierro, Serena; Montoro, Luigi; Peral, Ireneo; Sciunzi, Berardino Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential. (English) Zbl 1361.35191 Calc. Var. Partial Differ. Equ. 55, No. 4, Paper No. 99, 29 p. (2016). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35R11 35B33 35A15 35B40 PDFBibTeX XMLCite \textit{S. Dipierro} et al., Calc. Var. Partial Differ. Equ. 55, No. 4, Paper No. 99, 29 p. (2016; Zbl 1361.35191) Full Text: DOI arXiv
Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico Graph properties for nonlocal minimal surfaces. (English) Zbl 1354.49088 Calc. Var. Partial Differ. Equ. 55, No. 4, Paper No. 86, 25 p. (2016). Reviewer: Andreas Savas-Halilaj (Hannover) MSC: 49Q05 35R11 53A10 PDFBibTeX XMLCite \textit{S. Dipierro} et al., Calc. Var. Partial Differ. Equ. 55, No. 4, Paper No. 86, 25 p. (2016; Zbl 1354.49088) Full Text: DOI arXiv
Brasseur, Julien; Dipierro, Serena Some monotonicity results for general systems of nonlinear elliptic PDEs. (English) Zbl 1342.35101 J. Differ. Equations 261, No. 5, 2854-2880 (2016). Reviewer: Stepan Agop Tersian (Rousse) MSC: 35J50 35R11 PDFBibTeX XMLCite \textit{J. Brasseur} and \textit{S. Dipierro}, J. Differ. Equations 261, No. 5, 2854--2880 (2016; Zbl 1342.35101) Full Text: DOI arXiv
Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico A nonlocal free boundary problem. (English) Zbl 1331.35398 SIAM J. Math. Anal. 47, No. 6, 4559-4605 (2015). Reviewer: Raffaella Servadei (Arcavata di Rende) MSC: 35R35 35R11 49Q20 49Q05 PDFBibTeX XMLCite \textit{S. Dipierro} et al., SIAM J. Math. Anal. 47, No. 6, 4559--4605 (2015; Zbl 1331.35398) Full Text: DOI arXiv