Preprints / Recent Publications.

 

2017

 

209) D. Bonheure - J. D. Rossi. The behavior of solutions to an elliptic equation involving a $p-$Laplacian and a $q-$Laplacian for large $p$. Nonlinear Analysis. TM&A. Vol. 150, 104-113, (2017).  Click

210) P. Blanc – J. P. Pinasco – J. D. Rossi. Maximal operators for the p-Laplacian family. Pacific Journal of Mathematics. Vol. 287(2), 257-295, (2017). Click

211) M. C. Pereira – J. D. Rossi. Nonlocal problems in thin domains. To appear in Journal of Differential Equations. Vol. 263(3), 1725-1754, (2017). Click

212) J. M. Mazón – J. D. Rossi – J. Toledo. The heat content for nonlocal diffusion with non–singular kernels. Advanced Nonlinear Studies. Vol.17(2), 255{268, (2017).  Click

213) G. Beltritti – J. D. Rossi. Nonlinear evolution equations that are nonlocal in space and time. Journal of Mathematical Análisis and Applications. Click

214) L. Del Pezzo - J. D. Rossi. Traces for fractional Sobolev spaces with variable exponents. . Advances in Operator Theory. Vol. 2(4), 435-446, (2017). Click

215) U. Kaufmann – J. D. Rossi – R. Vidal. Fractional Sobolev spaces with variable exponents and fractional p(x)-Laplacians. Electronic Journal of Qualitative Theory of Differential Equations (EJQTDE). No. 76, 1-10, (2017). Click

 

 

To appear

 

216) N. Igbida - J. M. Mazon - J. D. Rossi - J. Toledo. Optimal mass transportation for a Finsler distance cost via $p$-Laplacian approximations. To appear in Advances in Calculus of Variations. Click

217) L. M. Del Pezzo - J. D. Rossi - A. Salort. Fractional eigenvalue problems that approximate Steklov eigenvalues. To appear in Proceedings of the Royal Society of Edimburgh. Click

218) J. M. Mazon - J. D. Rossi - J. Toledo. Nonlocal Perimeter, Curvature and Minimal Surfaces for measurable sets. To appear in Journal d’Analyse Mathematique. Click

219) A. Molino – J. D. Rossi. Nonlocal approximations to Fokker-Planck equations. To appear in Funkcialaj Ekvacioj. Click

220) J. Carmona – A. Molino – J. D. Rossi. The Gelfand problem for the 1-homogeneous p-laplacian. To appear in Advances in Nonlinear Analysis. Click

221) M. C. Pereira – J. D. Rossi. An obstacle problem for nonlocal equations in perforated domains. To appear in Potential Analysis. Click

222) J. V. da Silva - J. D. Rossi - A. M. Salort. Maximal solutions for the $infty$-eigenvalue problem.  To appear in Advances in Calculus of Variations. Click

223) M. C. Pereira – J. D. Rossi. Nonlocal evolution problems in thin domains. To appear in Applicable Analysis. Click

224) L. Del Pezzo – J. D. Rossi. Eigenvalues for systems of fractional p−Laplacians. To appear in Rocky Mountain Journal of Mathematics. Click

225) J. Garcia-Melian – J. D. Rossi – J. C. Sabina de Lis. A diffusion equation with a variable order reaction. To appear in Advanced Nonlinear Studies. Click

226) C. Gomez – J.D. Rossi. A nonlocal diffusion problem that approximates the heat equation with Neumann boundary conditions. To appear in Journal of King Saud University - Science. Click

227) J. V. da Silva - J. D. Rossi - A. M. Salort. The $infty$-Fucik spectrum. To appear in Annales Academiæ Scientiarum Fennicæ Matemática. Click

228) J. Fernandez Bonder – J. D. Rossi – J. F. Spedaletti. Optimal design problems for the first p−fractional eigenvalue with mixed boundary conditions. To appear in Advanced Nonlinear Studies. Click

 

 

Preprints

 

229) J. M. Mazon - J. D. Rossi - J. Toledo. An optimal matching problem with constraints. Click

230) M. C. Pereira – J. D. Rossi. Nonlocal problems in perforated domains. Click

231) J. D. Rossi – J. V. da Silva. The limit as p → ∞ in free boundary problems with fractional p-Laplacians. Click

232) M. C. Pereira – J. D. Rossi – N. Saintier. Fractional problems in thin domains. Click

233) L. Beznea – L. I. Ignat – J. D. Rossi. From Gaussian estimates for nonlinear evolution equations to the long time behavior of branching processes. Click

234) A. Molino – J. D. Rossi. A concave-convex problem with a variable operator. Click

235) J. P. Agnelli - U. Kaufmann - J. D. Rossi. Numerical solutions to minimal/maximal operators iterating obstacle problems. Click

236) J. V. da Silva - J. D. Rossi - A. M. Salort. Uniform stability of the ball with respect to the first Dirichlet and Neumann $infty$-eigenvalues. Click

237) J. V. da Silva – J. D. Rossi. A limit case in non-isotropic two-phase minimization problems driven by p−Laplacians. Click

 

 

                  Notes

1) J. D. Rossi. Asymptotics for evolution problems with nonlocal diffusion. Course in Ecole de printemps  ''Equation aux dérivées partielles non linéaires'', Marrakech, 31 Mars – 5 Avril 2008. Click

2) J. D. Rossi. Asymptotic behaviour of solutions to evolution problems with nonlocal diffusion. Course in, CIEM, Castro Urdiales, Cantabría, Spain, July 6-17, 2009. Click

3) J. D. Rossi. Tug-of-War games and PDEs. Course in Maxwell Centre for Analysis and Nonlinear PDEs. Edimburg. Scotland. May 2010. Click

4) J. D. Rossi. Asymptotic behaviour for nonlocal diffusion problems. Course in 3rd Spring School Analytical and Numerical Aspects of Evolution Equations in Essen. Germany. March 2011. Click

 

 

                  Libros/Books

Fuensanta Andreu-Vaillo - José M. Mazón - Julio D. Rossi - J. Julián Toledo-Melero. Nonlocal Diffusion Problems. American Mathematical Society. Mathematical Surveys and Monographs 2010. Vol. 165. ISBN-10: 0-8218-5230-2. ISBN-13: 978-0-8218-5230-9.

http://www.ams.org/bookstore-getitem/item=SURV-165

 

               Book Chapter.

1)      J. D. Rossi. Elliptic problems with nonlinear boundary conditions and the Sobolev trace theorem. Chapter 5 of HANDBOOK OF DIFFERENTIAL EQUATIONS: STATIONARY PARTIAL DIFFERENTIAL EQUATIONS, 2. Edited by M.Chipot - P. Quittner. Elsevier. (2005). (96 pag). Link

 

Surveys

1)      P. Groisman - J. D. Rossi. Aproximando soluciones que explotan. Boletin de la Sociedad Española de Matematica Aplicada, SEMA. No 26, diciembre 2003, 35-56. Click

2)      J. Garcia Azorero - J. J. Manfredi - I. Peral - J. D. Rossi. Neumann boundary conditions for the infinity Laplacian and the Monge-Kantorovich mass transport problem. Boletín de la Sociedad Española de Matemática Aplicada, SEMA. No 43, junio 2008, 7--28. Click

3)      J. D. Rossi. Asymptotic Mean Value Properties for the $p-$Laplacian.Revista de la Sociedad Española de Matemática Aplicada. SeMA Journal. Vol 56, (2011), 35-62.

 

Última modificación/Last update

2 de diciembre de 2017 / December 2th 2017.