Cazacu, Cristian M.; Ignat, Liviu I.; Pazoto, Ademir F.; Rossi, Julio D. A convection-diffusion model on a star-shaped graph. (English) Zbl 1483.35307 NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 2, Paper No. 17, 37 p. (2022). MSC: 35R02 35B40 35C06 35K51 PDFBibTeX XMLCite \textit{C. M. Cazacu} et al., NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 2, Paper No. 17, 37 p. (2022; Zbl 1483.35307) Full Text: DOI arXiv
Blanc, Pablo; Charro, Fernando; Manfredi, Juan J.; Rossi, Julio D. A nonlinear mean value property for the Monge-Ampère operator. (English) Zbl 1466.35235 J. Convex Anal. 28, No. 2, 353-386 (2021). MSC: 35J96 PDFBibTeX XMLCite \textit{P. Blanc} et al., J. Convex Anal. 28, No. 2, 353--386 (2021; Zbl 1466.35235) Full Text: arXiv Link
Ignat, Liviu I.; Rossi, Julio D.; San Antolin, Angel Asymptotic behaviour for local and nonlocal evolution equations on metric graphs with some edges of infinite length. (English) Zbl 1461.35054 Ann. Mat. Pura Appl. (4) 200, No. 3, 1301-1339 (2021). MSC: 35B40 45G10 46B50 PDFBibTeX XMLCite \textit{L. I. Ignat} et al., Ann. Mat. Pura Appl. (4) 200, No. 3, 1301--1339 (2021; Zbl 1461.35054) Full Text: DOI arXiv
Pereira, Marcone C.; Rossi, Julio D. Nonlocal problems in perforated domains. (English) Zbl 1444.35019 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 1, 305-340 (2020). Reviewer: Marcus Waurick (Glasgow) MSC: 35B27 35R09 45A05 45C05 45M05 PDFBibTeX XMLCite \textit{M. C. Pereira} and \textit{J. D. Rossi}, Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 1, 305--340 (2020; Zbl 1444.35019) Full Text: DOI arXiv
Berná, Pablo M.; Rossi, Julio D. Nonlocal diffusion equations with dynamical boundary conditions. (English) Zbl 1447.45006 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 195, Article ID 111751, 25 p. (2020). MSC: 45G10 45J05 47H06 PDFBibTeX XMLCite \textit{P. M. Berná} and \textit{J. D. Rossi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 195, Article ID 111751, 25 p. (2020; Zbl 1447.45006) Full Text: DOI arXiv
Mihăilescu, Mihai; Rossi, Julio D.; Stancu-Dumitru, Denisa A limiting problem for a family of eigenvalue problems involving \(p\)-Laplacians. (English) Zbl 1443.35010 Rev. Mat. Complut. 32, No. 3, 631-653 (2019). Reviewer: Gianfranco Bottaro (Genova) MSC: 35B30 35D30 35D40 46E30 46E35 49J40 49J45 35P30 PDFBibTeX XMLCite \textit{M. Mihăilescu} et al., Rev. Mat. Complut. 32, No. 3, 631--653 (2019; Zbl 1443.35010) Full Text: DOI
Bogoya, Mauricio; Rossi, Julio D. Systems with local and nonlocal diffusions, mixed boundary conditions, and reaction terms. (English) Zbl 1470.35381 Abstr. Appl. Anal. 2018, Article ID 3906431, 10 p. (2018). MSC: 35R09 35B40 35K57 35B44 35K51 PDFBibTeX XMLCite \textit{M. Bogoya} and \textit{J. D. Rossi}, Abstr. Appl. Anal. 2018, Article ID 3906431, 10 p. (2018; Zbl 1470.35381) Full Text: DOI
Del Pezzo, Leandro M.; Rossi, Julio D. Eigenvalues for systems of fractional \(p\)-Laplacians. (English) Zbl 1400.35197 Rocky Mt. J. Math. 48, No. 4, 1077-1104 (2018). Reviewer: Rodica Luca (Iaşi) MSC: 35P30 35R11 45G05 47G20 35J57 35J92 PDFBibTeX XMLCite \textit{L. M. Del Pezzo} and \textit{J. D. Rossi}, Rocky Mt. J. Math. 48, No. 4, 1077--1104 (2018; Zbl 1400.35197) Full Text: DOI arXiv Euclid
Igbida, Noureddine; Mazón, José M.; Rossi, Julio D.; Toledo, Julián Optimal mass transportation for costs given by Finsler distances via \(p\)-Laplacian approximations. (English) Zbl 1385.49001 Adv. Calc. Var. 11, No. 1, 1-28 (2018). Reviewer: Hussain A. El-Saify (Beni Suef) MSC: 49J20 49J45 45G10 PDFBibTeX XMLCite \textit{N. Igbida} et al., Adv. Calc. Var. 11, No. 1, 1--28 (2018; Zbl 1385.49001) Full Text: DOI
Mazón, José M.; Rossi, Julio D.; Toledo, Julián Fractional \(p\)-Laplacian evolution equations. (French. English summary) Zbl 1338.45009 J. Math. Pures Appl. (9) 105, No. 6, 810-844 (2016). MSC: 45J05 45G10 26A33 PDFBibTeX XMLCite \textit{J. M. Mazón} et al., J. Math. Pures Appl. (9) 105, No. 6, 810--844 (2016; Zbl 1338.45009) Full Text: DOI
Del Pezzo, Leandro M.; Rossi, Julio D. The first nontrivial eigenvalue for a system of \(p\)-Laplacians with Neumann and Dirichlet boundary conditions. (English) Zbl 1334.35197 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 137, 381-401 (2016). MSC: 35P30 35J57 35J92 PDFBibTeX XMLCite \textit{L. M. Del Pezzo} and \textit{J. D. Rossi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 137, 381--401 (2016; Zbl 1334.35197) Full Text: DOI arXiv
Ignat, L. I.; Pinasco, D.; Rossi, J. D.; San Antolin, A. Decay estimates for nonlinear nonlocal diffusion problems in the whole space. (English) Zbl 1297.35038 J. Anal. Math. 122, 375-401 (2014). MSC: 35B40 45K05 35R09 35B45 35P15 PDFBibTeX XMLCite \textit{L. I. Ignat} et al., J. Anal. Math. 122, 375--401 (2014; Zbl 1297.35038) Full Text: DOI arXiv Link
Ignat, Liviu I.; Rossi, Julio D.; San Antolin, Angel Lower and upper bounds for the first eigenvalue of nonlocal diffusion problems in the whole space. (English) Zbl 1239.35104 J. Differ. Equations 252, No. 12, 6429-6447 (2012). MSC: 35P15 35J05 60J60 PDFBibTeX XMLCite \textit{L. I. Ignat} et al., J. Differ. Equations 252, No. 12, 6429--6447 (2012; Zbl 1239.35104) Full Text: DOI arXiv
Mercaldo, A.; Rossi, J. D.; de León, S. Segura; Trombetti, C. Anisotropic \(p,q\)-Laplacian equations when \(p\) goes to 1. (English) Zbl 1198.35117 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 11, 3546-3560 (2010). MSC: 35J92 35J25 35B65 PDFBibTeX XMLCite \textit{A. Mercaldo} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 11, 3546--3560 (2010; Zbl 1198.35117) Full Text: DOI
Rossi, Julio D.; Schönlieb, Carola-Bibiane Nonlocal higher order evolution equations. (English) Zbl 1191.35063 Appl. Anal. 89, No. 6, 949-960 (2010). MSC: 35B40 45G10 35R09 PDFBibTeX XMLCite \textit{J. D. Rossi} and \textit{C.-B. Schönlieb}, Appl. Anal. 89, No. 6, 949--960 (2010; Zbl 1191.35063) Full Text: DOI
García-Melián, Jorge; Rossi, Julio D. Maximum and antimaximum principles for some nonlocal diffusion operators. (English) Zbl 1185.45005 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, 6116-6121 (2009). Reviewer: Anatoly Filip Grishin (Khar’kov) MSC: 45E10 45C05 PDFBibTeX XMLCite \textit{J. García-Melián} and \textit{J. D. Rossi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, 6116--6121 (2009; Zbl 1185.45005) Full Text: DOI
Andreu, F.; Mazón, J. M.; Rossi, J. D.; Toledo, J. The limit as \(p \rightarrow \infty \) in a nonlocal \(p\)-Laplacian evolution equation: a nonlocal approximation of a model for sandpiles. (English) Zbl 1173.35022 Calc. Var. Partial Differ. Equ. 35, No. 3, 279-316 (2009). Reviewer: Peter Lindqvist (Trondheim) MSC: 35B40 45G10 35K99 PDFBibTeX XMLCite \textit{F. Andreu} et al., Calc. Var. Partial Differ. Equ. 35, No. 3, 279--316 (2009; Zbl 1173.35022) Full Text: DOI
García-Melián, Jorge; Rossi, Julio D. On the principal eigenvalue of some nonlocal diffusion problems. (English) Zbl 1162.35055 J. Differ. Equations 246, No. 1, 21-38 (2009). Reviewer: Stefan Balint (Timişoara) MSC: 35P05 45C05 PDFBibTeX XMLCite \textit{J. García-Melián} and \textit{J. D. Rossi}, J. Differ. Equations 246, No. 1, 21--38 (2009; Zbl 1162.35055) Full Text: DOI
Bonder, Julián Fernández; Rossi, Julio D.; Schönlieb, Carola-Bibiane The best constant and extremals of the Sobolev embeddings in domains with holes: the \(L^{\infty }\) case. (English) Zbl 1181.49006 Ill. J. Math. 52, No. 4, 1111-1121 (2008). MSC: 49J40 46E35 49K30 49Q20 PDFBibTeX XMLCite \textit{J. F. Bonder} et al., Ill. J. Math. 52, No. 4, 1111--1121 (2008; Zbl 1181.49006) Full Text: Euclid
Bonder, Julián Fernández; Rossi, Julio D.; Schönlieb, Carola-Bibiane An optimization problem related to the best Sobolev trace constant in thin domains. (English) Zbl 1357.49027 Commun. Contemp. Math. 10, No. 5, 633-650 (2008). MSC: 49J40 46E35 49K30 PDFBibTeX XMLCite \textit{J. F. Bonder} et al., Commun. Contemp. Math. 10, No. 5, 633--650 (2008; Zbl 1357.49027) Full Text: DOI
Ferreira, Raúl; de Pablo, Arturo; Pérez-Llanos, Mayte; Rossi, Julio D. Incomplete quenching in a system of heat equations coupled at the boundary. (English) Zbl 1144.35023 J. Math. Anal. Appl. 346, No. 1, 145-154 (2008). Reviewer: Mohammed Bouchekif (Tlemcen) MSC: 35K05 PDFBibTeX XMLCite \textit{R. Ferreira} et al., J. Math. Anal. Appl. 346, No. 1, 145--154 (2008; Zbl 1144.35023) Full Text: DOI
de Figueiredo, Djairo G.; Peral, Ireneo; Rossi, Julio D. The critical hyperbola for a Hamiltonian elliptic system with weights. (English) Zbl 1223.35177 Ann. Mat. Pura Appl. (4) 187, No. 3, 531-545 (2008). MSC: 35J65 35J20 35J56 35J57 35J58 PDFBibTeX XMLCite \textit{D. G. de Figueiredo} et al., Ann. Mat. Pura Appl. (4) 187, No. 3, 531--545 (2008; Zbl 1223.35177) Full Text: DOI
Andreu, F.; Mazón, J. M.; Rossi, J. D. The best constant for the Sobolev trace embedding from \(W^{1,1}(\Omega)\) into \(L^1(\partial\Omega)\). (English) Zbl 1108.35067 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 59, No. 7, 1125-1145 (2004). Reviewer: Agnieszka Kalamajska (Warszawa) MSC: 35J65 46E99 35B33 46E35 PDFBibTeX XMLCite \textit{F. Andreu} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 59, No. 7, 1125--1145 (2004; Zbl 1108.35067) Full Text: DOI
Martinez, Sandra R.; Rossi, Julio D. On the Fučik spectrum and a resonance problem for the \(p\)-Laplacian with a nonlinear boundary condition. (English) Zbl 1111.35017 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 59, No. 6, 813-848 (2004). MSC: 35P05 35J60 35J55 PDFBibTeX XMLCite \textit{S. R. Martinez} and \textit{J. D. Rossi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 59, No. 6, 813--848 (2004; Zbl 1111.35017) Full Text: DOI
Garcia-Azorero, J.; Peral, I.; Rossi, J. D. A convex-concave problem with a nonlinear boundary condition. (English) Zbl 1065.35122 J. Differ. Equations 198, No. 1, 91-128 (2004). Reviewer: Marek Fila (Bratislava) MSC: 35J65 35J20 PDFBibTeX XMLCite \textit{J. Garcia-Azorero} et al., J. Differ. Equations 198, No. 1, 91--128 (2004; Zbl 1065.35122) Full Text: DOI
de Pablo, A.; Quirós, F.; Rossi, J. D. Nonsimultaneous quenching. (English) Zbl 1019.35036 Appl. Math. Lett. 15, No. 3, 265-269 (2002). Reviewer: M.Fila (Bratislava) MSC: 35K50 35K57 35B05 PDFBibTeX XMLCite \textit{A. de Pablo} et al., Appl. Math. Lett. 15, No. 3, 265--269 (2002; Zbl 1019.35036) Full Text: DOI
Rossi, Julio D.; Wolanski, Noemi Blow-up vs. global existence for a semilinear reaction-diffusion system in a bounded domain. (English) Zbl 0851.35064 Commun. Partial Differ. Equations 20, No. 11-12, 1991-2004 (1995). Reviewer: C.Y.Chan (Lafayette) MSC: 35K57 35K50 35B40 PDFBibTeX XMLCite \textit{J. D. Rossi} and \textit{N. Wolanski}, Commun. Partial Differ. Equations 20, No. 11--12, 1991--2004 (1995; Zbl 0851.35064) Full Text: DOI