Pereira, Marcone C.; Rossi, Julio D.; Saintier, Nicolas Fractional problems in thin domains. (English) Zbl 1509.35355 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 193, Article ID 111471, 16 p. (2020). MSC: 35R11 35B25 35J25 PDFBibTeX XMLCite \textit{M. C. Pereira} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 193, Article ID 111471, 16 p. (2020; Zbl 1509.35355) Full Text: DOI
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
Bonheure, Denis; Rossi, Julio D. The behavior of solutions to an elliptic equation involving a \(p\)-Laplacian and a \(q\)-Laplacian for large \(p\). (English) Zbl 1356.35104 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 150, 104-113 (2017). MSC: 35J20 35J60 35J70 35D40 PDFBibTeX XMLCite \textit{D. Bonheure} and \textit{J. D. Rossi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 150, 104--113 (2017; Zbl 1356.35104) 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
Rossi, Julio D.; Saintier, Nicolas The limit as \(p \to + \infty\) of the first eigenvalue for the \(p\)-Laplacian with mixed Dirichlet and Robin boundary conditions. (English) Zbl 1328.35139 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 119, 167-178 (2015). MSC: 35P30 35J92 PDFBibTeX XMLCite \textit{J. D. Rossi} and \textit{N. Saintier}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 119, 167--178 (2015; Zbl 1328.35139) Full Text: DOI
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
Perez-Llanos, Mayte; Rossi, Julio D. The limit as \(p(x)\rightarrow \infty \) of solutions to the inhomogeneous Dirichlet problem of the \(p(x)\)-Laplacian. (English) Zbl 1196.35090 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 7, 2027-2035 (2010). MSC: 35J60 35D40 35J92 35J25 35A35 PDFBibTeX XMLCite \textit{M. Perez-Llanos} and \textit{J. D. Rossi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 7, 2027--2035 (2010; Zbl 1196.35090) Full Text: DOI
Manfredi, J. J.; Rossi, J. D.; Urbano, J. M. Limits as \(p(x)\rightarrow \infty \) of \(p(x)\)-harmonic functions. (English) Zbl 1181.35118 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 1, 309-315 (2010). MSC: 35J92 35J20 35J70 PDFBibTeX XMLCite \textit{J. J. Manfredi} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 1, 309--315 (2010; Zbl 1181.35118) 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
Pérez-Llanos, Mayte; Rossi, Julio D. Blow-up for a non-local diffusion problem with Neumann boundary conditions and a reaction term. (English) Zbl 1169.35312 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 4, 1629-1640 (2009). MSC: 35B40 45G10 45K05 PDFBibTeX XMLCite \textit{M. Pérez-Llanos} and \textit{J. D. Rossi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 4, 1629--1640 (2009; Zbl 1169.35312) Full Text: DOI
Fernández Bonder, Julián; Orive, Rafael; Rossi, Julio D. The best Sobolev trace constant in a domain with oscillating boundary. (English) Zbl 1114.35010 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 4, 1173-1180 (2007). MSC: 35B27 35P30 46E35 35B45 PDFBibTeX XMLCite \textit{J. Fernández Bonder} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 4, 1173--1180 (2007; Zbl 1114.35010) Full Text: DOI
García-Azorero, J.; Manfredi, J. J.; Peral, I.; Rossi, J. D. The Neumann problem for the \(\infty\)-Laplacian and the Monge–Kantorovich mass transfer problem. (English) Zbl 1387.35286 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 2, 349-366 (2007). MSC: 35J65 35J50 35J56 35J62 49Q20 PDFBibTeX XMLCite \textit{J. García-Azorero} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 2, 349--366 (2007; Zbl 1387.35286) 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
Cortazar, Carmen; Elgueta, Manuel; Rossi, Julio D. Short time behavior near the boundary for the heat equation with a nonlinear boundary condition. (English) Zbl 1004.35072 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 50, No. 2, 205-213 (2002). Reviewer: Pavol Quittner (Bratislava) MSC: 35K60 35B40 35B05 PDFBibTeX XMLCite \textit{C. Cortazar} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 50, No. 2, 205--213 (2002; Zbl 1004.35072) Full Text: DOI
Fernández Bonder, Julián; Rossi, Julio D. A fourth order elliptic equation with nonlinear boundary conditions. (English) Zbl 1014.35021 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 49, No. 8, 1037-1047 (2002). Reviewer: Messoud Efendiev (Berlin) MSC: 35J40 35J65 PDFBibTeX XMLCite \textit{J. Fernández Bonder} and \textit{J. D. Rossi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 49, No. 8, 1037--1047 (2002; Zbl 1014.35021) Full Text: DOI
Andreu, F.; Mazón, J. M.; Toledo, J.; Rossi, J. D. Porous medium equation with absorption and a nonlinear boundary condition. (English) Zbl 1011.35109 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 49, No. 4, 541-563 (2002). Reviewer: Georg V.Jaiani (Tbilisi) MSC: 35Q35 76S05 35K65 PDFBibTeX XMLCite \textit{F. Andreu} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 49, No. 4, 541--563 (2002; Zbl 1011.35109) Full Text: DOI