Leandro M. Del Pezzo

Artículos publicados

B. Barrios, L. M. Del Pezzo, A. Quaas and J. D. Rossi.
The limit as $s\nearrow 1$ of the fractional convex envelope.
Aceptado en Annali di Matematica Pura ed Applicata pdf
L. M. Del Pezzo, N. Frevenza and J. D. Rossi.
Quasiconvex functions on regular trees.
Aceptado en Revista Matemática Colombiana pdf
B. Barrios, L. M. Del Pezzo, A. Quaas and J. D. Rossi.
The evolution problem associated with the fractional first eigenvalue.
Aceptado en Nonlinearity. pdf
L. M. Del Pezzo and R. Ferreira.
Non-simultaneous blow-up for a system with local and non-local diffusion.
J. Evol. Equ. 23 (2023), no. 3, 48.pdf
M. L. de Borbón, L. M. Del Pezzo, and P. Ochoa.
Weak and viscosity solutions for non-homogeneous fractional equations in Orlicz spaces.
Advances in Differential Equations, Volume 27, Number 11-12 (2022), 735-780 pdf
L. M. Del Pezzo, A. Quaas and J. D. Rossi.
Fractional convexity.
Math. Ann. 383 (2022), no. 3-4, 1687-1719. pdf
L. M. Del Pezzo, N. Frevenza and J. D. Rossi.
Convex and quasiconvex functions in metric graphs.
Networks & Heterogeneous Media,2021, 16(4): 591-607. pdf
B. Barrios and L. M. Del Pezzo.
Study of the existence of supersolutions for nonlocal equations with gradient terms.
Milan Journal of Mathematics, 88, 267–294(2020). pdf
L. M. Del Pezzo, N. Frevenza and J. D. Rossi.
Convex envelopes on Trees.
Journal of Convex Analysis 27 (2020), No. 4, 1195-1218. pdf
L. M. Del Pezzo, N. Frevenza and J. D. Rossi.
Dirichlet-to-Neumann maps on Trees.
Potential Anal 53, 1423–1447 (2020). pdf
L. M. Del Pezzo and A. Quaas.
Spectrum of the fractional p−Laplacian in $\mathbb{R}^N$ and decay estimate for positive solutions of a Schrödinger equation.
Nonlinear Anal. 193 (2020), 111479. pdf
L. M. Del Pezzo, R. Ferreira and J. D. Rossi.
Eigenvalues for a combination between local and nonlocal $p-$Laplacians.
Fract. Calc. Appl. Anal. 22 (2019), no. 5, 1414-1436. pdf
J. V. da Silva, L. M. Del Pezzo, and J. D. Rossi.
An optimization problem with volume constraint with applications to optimal mass transport.
J. Differential Equations 267 (2019), no. 10, 5870-5900 pdf
L. M. Del Pezzo and J. D. Rossi.
Eigenvalues for systems of fractional $p-$Laplacians.
Rocky Mountain J. Math. 48 (2018), no. 4, 1077-1104. pdf
B. Barrios, L. M. Del Pezzo, J. García-Melián and A. Quaas.
Symmetry results in the half-space for a semi-linear fractional Laplace equation.
Ann. Mat. Pura Appl. (4) 197 (2018), no. 5, 1385-1416. pdf
J. P. Borthagaray, L. M. Del Pezzo and S. Martínez.
Finite element approximation for the fractional eigenvalue problem.
J. Sci. Comput. 77 (2018), no. 1, 308–329. pdf
L. M. Del Pezzo, J. D. Rossi and A. Salort.
Fractional eigenvalue problems that approximate Steklov eigenvalue problems.
Proc. Roy. Soc. of Edinburgh Sect. A 148 (2018), no. 3, 499-516. pdf
L. M. Del Pezzo, J. Fernández Bonder and Luis López Ríos.
An optimization problem for the first eigenvalue of the p-fractional Laplacian.
Math. Nachr. 291 (2018), no. 4, 632-651. pdf
B. Barrios, L. M. Del Pezzo, J. García-Melián and A. Quaas.
A priori bounds and existence of solutions for some nonlocal elliptic problems.
Rev. Mat. Iberoam. 34 (2018), no. 1, 195-220. pdf
L. M. Del Pezzo and J. D. Rossi.
Traces for fractional Sobolev spaces with variable exponents.
Adv. Oper. Theory 2 (2017), no. 4, 435-446. pdf
B. Barrios, L. M. Del Pezzo, J. García-Melián and A. Quaas.
A Liouville theorem for indefinite fractional diffusion equations and its application to existence of solutions.
Discrete Contin. Dyn. Syst. 37 (2017), no. 11, 5731 - 5746. pdf
L. M. Del Pezzo and A. Quaas.
A Hopf's lemma and a strong minimum principle for the fractional $p-$Laplacian.
J. Differential Equations 263 (2017), no. 1, 765-778. pdf
L. M. Del Pezzo and A. Quaas.
Non-resonant Fredholm alternative and anti-maximum principle for the fractional $p-$Laplacian.
J. Fixed Point Theory Appl. 19 (2017), no. 1, 939-958. pdf
B. Barrios, L. M. Del Pezzo, J. García-Melián and A. Quaas.
Monotonicity of solutions for some nonlocal elliptic problems in half-spaces.
Calc. Var. Partial Differential Equations 56 (2017), no. 2, 56:39. pdf
L. M. Del Pezzo and J. D. Rossi.
Eigenvalues for a nonlocal pseudo $p-$Laplacian.
Discrete Contin. Dyn. Syst. 36 (2016), no. 12, 6737 - 6765 pdf
L. M. Del Pezzo and A. Quaas.
Global bifurcation for fractional $p$-Laplacian and application.
Z. Anal. Anwend. 35 (2016), no. 4, 411-447. pdf
L. M. Del Pezzo and J. D. Rossi.
The first eigenvalue of the $p-$Laplacian on quantum graphs.
Anal. Math. Phys. 6 (2016), no. 4, 365-391pdf
L. M. Del Pezzo and J. D. Rossi.
Clustering for metric graphs using the $p-$Laplacian.
Michigan Math. J. 65 (2016), no. 3, 451-472. pdf
L. M. Del Pezzo and J. D. Rossi.
The first nontrivial eigenvalue for a system of $p-$Laplacians with Neumann and Dirichlet boundary conditions.
Nonlinear Analysis 137 (2016), pp. 381-401. pdf
L. M. Del Pezzo, J. D. Rossi, N. Saintier and A. Salort.
An optimal mass transport approach for limits of eigenvalue problems for the fractional $p$-Laplacian.
Adv. Nonlinear Anal. 2015, 4 (3), 235-249. pdf
L. M. Del Pezzo and A. M. Salort.
The first non-zero Neumann $p-$fractional eigenvalue.
Nonlinear Anal. 118 (2015), 130-143. pdf
L. M. Del Pezzo and S. Martínez.
Order of convergence of the finite element method for the $p(x)-$Laplacian.
IMA J. Numer. Anal. 35 (2015), no. 4, 1864-1887. pdf
L. M. Del Pezzo, C. A. Mosquera and J. D. Rossi.
Estimates for nonlinear harmonic measures on trees.
Bull. Braz. Math. Soc. (N.S.) 45 (2014), no. 3, 405-432. pdf
L. M. Del Pezzo, C. A. Mosquera and J. D. Rossi.
Existence, uniqueness and decay rates for evolution equations on trees.
Port. Math. 71 (2014), no. 1, 63-77. pdf
L. M. Del Pezzo, C. A. Mosquera and J. D. Rossi.
The unique continuation property for a nonlinear equation on trees.
J. Lond. Math. Soc. (2) 89 (2014), no. 2, 364-382. pdf
L. M. Del Pezzo and J. D. Rossi.
Tug-of-War games and parabolic problems with spatial and time dependence.
Differential Integral Equations 27 (2014), no. 3-4, 269-288. pdf
L. M. Del Pezzo and S. Martínez.
$H^2$ regularity for the $p(x)-$Laplacian in two-dimensional convex domains.
J. Math. Anal. Appl. 410 (2014), no. 2, 939-952. pdf. Errata
L. M. Del Pezzo, A. Lombardi and S. Martínez.
Interior penalty discontinuous Galerkin FEM for the $p(x)$-Laplacian.
SIAM J. Numer. Anal. 50 (2012), no. 5, 2497-2521. pdf
L. Del Pezzo, J. Fernandez Bonder and W. Neves.
Optimal boundary holes for the Sobolev trace constant.
J. Differential Equations 251 (2011), no. 8, 2327-2351. pdf
L. M. Del Pezzo.
Optimization problem for extremals of the trace inequality in domains with holes.
Commun. Contemp. Math. 12 (2010), no. 4, 569-586. pdf
L. M. Del Pezzo and J. Fernández Bonder.
An optimization problem for the first weighted eigenvalue problem plus a potential.
Proc. Amer. Math. Soc. 138 (2010), no. 10, 3551-3567. pdf
L. M. Del Pezzo and J. Fernández Bonder.
Remarks on an optimization problem for the $p-$Laplacian.
Appl. Math. Lett. 23 (2010), no. 2, 188-192. pdf
L. M. Del Pezzo and J. Fernández Bonder.
Some optimization problems for p-Laplacian type equations.
Appl. Math. Optim. 59 (2009), no. 3, 365-381.pdf
L. M. Del Pezzo, J. Fernández Bonder and J.D. Rossi.
An optimization problem for the first Steklov eigenvalue of a nonlinear problem.
Differential Integral Equations 19 (2006), no. 9, 1035-1046. pdf
L. M. Del Pezzo and J. Fernández Bonder.
An optimization problem for the first eigenvalue of the p-Laplacian plus a potential.
Commun. Pure Appl. Anal. 5 (2006), no. 4, 675-690. pdf

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